****WHO ANSWER WILL BE THE BRAINLIEST****

In circle D, which is a tangent to the circle? *

FE

AB

DC

GBE

****WHO ANSWER WILL BE THE BRAINLIEST**** In Circle D, Which Is A Tangent To The Circle? * FE AB DC GBE

Answers

Answer 1

Answer:

AB

Step-by-step explanation:

A tangent is a line that touches a circle but never goes through it. Wherever the the tangent touches is called the point of tangency and creates a perpendicular bisector (90° angle).

Answer 2

Answer:

AB

Step-by-step explanation:

A tangent to a circle is a straight line that touches the circle at only one point.


Related Questions

Bob goes shopping at his favorite store and finds a hat that is regularly priced at $40, but it is on sale for 20% off. The sales tax on the hat is 10% of the sale price. How much does Bob end up paying for the hat?

Answers

Answer:

$35.2

Step-by-step explanation:

Marked price of hat = $40

Sale discount = 20%

discount in $ = 20% of $40 = 20/100 * 40 = $8

Thus, sale price = marked price - sale discount = $40 - $8 = $32

Now it is given that there is sales tax of 10%

This sales tax will be applied on sale price

thus,

sales tax in dollars = 10% of sale price of hat = 10/100 * $32 = $3.2

Total price paid for hat = Sale price+ sales tax = $32 +$3.2 = $35.2

Thus, Bob ended up paying $35.2 for the hat.

Graph the inequality y > |x + 1| – 1. Which point is NOT part of the solution? (–1, 2) (1, −1) (–1, 0) (1, 3)

Answers

Answer:

(1,-1)

Step-by-step explanation:

If you try plugging in the numbers for x in the equation y > Ix + 1I - 1, you'll find the answer.

In your own words, tell how geometric sequences are related to exponential functions. Share your answer with the rest of the group.

Answers

Exponential functions are defined for all real numbers, and geometric sequences are defined only for positive integers. Another difference is that the base of a geometric sequence (the common ratio) can be negative, but the base of an exponential function must be positive.

Answer:

Geometric sequences are the long way to show an exponential function. The initial amount in both exponential functions and geometric sequences do the same thing, which is state the initial value and the value by which it is multiplied. What is called the common ratio in a geometric sequence is basically the second part of what the initial amount does in an exponential function. The nth term in a geometric sequence is the same as the power in an exponential function, that is to say that it shows how many times the sequence is repeated.

Step-by-step explanation:

if x= 3y-2/4, what is the value of y in terms of x?

Answers

Answer:

[tex]x = \frac{3y - 2}{4} [/tex]

Multiply through by 4

We have

[tex]3y - 2 = 4x[/tex]

Send 2 to the right side of the expression

That's

[tex]3y = 4x + 2[/tex]

Divide both sides by 3

That's

[tex] \frac{3y}{3} = \frac{4x + 2}{3} [/tex]

We have the final answer as

[tex] y = \frac{4x + 2}{3} [/tex]

Hope this helps you

Answer:

[tex]y = \frac{4x + 2}{3} [/tex]

Step by step explanation

[tex]x = \frac{3y - 2}{4} [/tex](Given)

Multiply by 4 on both sides:

[tex]4 \times x = \frac{3y - 2}{4} \times 4[/tex]

Calculate

[tex]4x = 3y - 2[/tex]

Add 2 on both sides

[tex]4x + 2 = 3y - 2 + 2[/tex]

[tex]4x + 2 = 3y[/tex]

[tex]3y = 4x + 2[/tex]

Divide both sides of the equation by 3

[tex] \frac{3y}{3} = \frac{4x + 2}{3} [/tex]

Calculate

[tex]y = \frac{4x + 2}{3} [/tex]

Hope this helps...

Good luck on your assignment..

The length of the smaller rectangle at the right is 1 inch less than twice its width. Both the dimensions of the larger rectangle are 2 inches longer than the smaller rectangle. The area of the shaded region is 86 square inches. What is the area of the larger rectangle? PLEASE its important

Answers

Answer:  464 square inches is the area of the larger rectangle.

Step-by-step explanation:  Assuming that the shaded area is the part of the large rectangle outside the small rectangle, you can set up dimensions from the information given.

The small rectangle's Area = w (2w -1) which is 2w² -w

The large rectangle's Area = (w + 2)(2w + 1) which is 2w² + 5w +2

Now figure out the equation for the "shaded area" (probably outside the small rectangle)  2w² + 5w +2 -(2w² -w) = 86  (The 2w² terms cancel)

6w + 2 = 86,  so 6w = 84, w=14  

Substitute 14 for w in the dimensions of the large rectangle: (w + 2)(2w + 1)

(14+2)(2[14] + 1) = Area

16 × 29 = 464

(I think I deserve Brainliest for figuring this out, but I see the question has been red-flagged, so We'll see!)

HELP ME PLEASEEEEEEEE

Answers

X Y

-2 11

-1 7

0 3

1 -1

2 -5

-2 = 16 times minus 2 plus 4y equals to 12

-1 = 16 times minus 1 plus 4y equals to12

0 = 16 times 0 plus 4y equals to 12

1 = 16 times 1 plus 4y equals to 12

2 = 16 times 2 plus 4y equals to 12

Therefore,

-2 = 16 * -2 + 4y = 12

-32 + 4y = 12

4y = 12 + 32

4y = 44

y = 44/4

y = 11

-1 = 16 * -1 + 4y = 12

-16 + 4y = 12

4y = 12 + 16

4y = 28

y = 28/4

y = 7

0 = 16 * 0 + 4y = 12

0 + 4y = 12

4y = 12 + 0

4y = 12

y = 12/4

y = 3

1 = 16 * 1 + 4y = 12

16 + 4y = 12

4y = 12 - 16

4y = -4

y = -4/4

y = -1

2 = 16 * 2 + 4y = 12

32 + 4y = 12

4y = 12 - 32

4y = -20

y = -20/4

y = -5

which one of the following is a type of face found on a platonic solid. A,regular hexagon, B. regular octagon, C.regular nonagon, D. regular pentagon
PLEASE NEED OF AN ANSWER

Answers

Answer:

B. regular octagon

I hope this will help you

The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 57 and a standard deviation of 7. Using the empirical rule (as presented in the book), what is the approximate percentage of lightbulb replacement requests numbering between 50 and 57

Answers

Answer:

34%

Step-by-step explanation:

According to the empirical rule, 68% of all of the data in a normal distribution falls within one standard deviation of the mean.

Applying to this particular case, 68% of the requests fall within (50 - 7) and (50+ 7). The percentage of requests from 43 to 50 is equal to the percentage of requests from 50 to 57.

Therefore, the percentage of light bulb replacement requests numbering between 50 and 57 is 68/2 =  34%.

What is the answer of .7 of which is 3.43

Answers

Answer:

4.9

Step-by-step explanation:

3.43/0.7

34.3/7=49

3.43/0.7=4.9

The value of x is approximately 4.9 when 0.7 (70%) of x is equal to 3.43.

We are given that 0.7 (which is the same as 70%) of a certain value (x) is equal to 3.43.

We represent "0.7 of x" as 0.7x.

So, the equation becomes:

0.7x = 3.43

To find the value of x, we need to isolate it on one side of the equation. To do this, we can divide both sides of the equation by 0.7:

(0.7x) / 0.7  = 3.43 / 0.7

The 0.7 on the numerator and denominator cancel out, leaving us with just x:

x = 3.43 / 0.7

Now, we perform the division:

x = 4.9

The value of x is approximately 4.9.

Hence, when 0.7 (70%) of 4.9 is calculated, it will be approximately equal to 3.43.

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Which is the correct equation for calculating the kinetic energy of an object? K times E = m times g times h. K times E = one half m v squared. K times E = one half a t squared. K times E = one quarter g squared.

Answers

Answer:

KE = 1/2mv²

Step-by-step explanation:

The answer above is the formula for calculating kinetic energy. It is wise to remember it.

Answer:

Here is the answer np! :)

Step-by-step explanation:

If a sample of 234 customers were taken from a population of 3620 customers, could refer to the variance of how many of the customers' ages?

Answers

If a sample of 234 customers were taken from a population of 3620 customers, s^2 could refer to the variance of how many of the customers' ages?

A. 234

B. 3620

C. Both 234 and 3620

D. Neither 234 nor

3620

Answer: 234

Step-by-step explanation:

Sample distribution = 234 customers

Population distribution = 3620 customers

S^2 which in statistics refers to the same variance utilizes the sample data in estimating the variance value of a population.

The sample variance is given by:

s^2 = (x - mean) / n - 1

where ;

n = number of observation in sample

s^2 = sample variance

mean = statistical mean of sample data

n - 1, is used to account for the bias in our estimation or inference of a population statistics from sample data.

In a certain company, all employees are either beta employees or standard employees. In this company, 25% of the beta employees and 17% of the standard employees participate in the voluntary equity program. Let S be the number of standard employees. If there are 600 employees total, what is the value of S?

Answers

In addition to the question, the following conditions must be met:

(1) M > 100

(2) more than 130 employees participate in the voluntary equity program

Answer:

Value of A is 200

Step-by-step explanation:

In this scenario when we divide 100 by the percentage of each employee category we will get a proportion that the number of employees must obey.

This is illustrated below:

For Beta employees 100/25= 4

So the number of employees that are Beta must be divisible by 4

For Standard employees 100/17 = 5.882

Since fractions of employees cannot be obtained, in this case the number of employees must be a multiple of 100

Total employees are 600

The various combinations are:

1. Beta employees 500 and Standard employees 100

Survey participants= (0.25 * 500) + (0.17 * 100) = 142

Number of participants is okay as it is >130 but does not satisfy Standard employees being >100

2. Beta employees are 300 and Standard employees are 300

Survey participants = (0.25 * 300) + (0.17 * 300) = 126

This does not satisfy condition of survey participants >130

3. Beta employees 400 and Standard employees 200

Survey participants = (0.25 * 400) + (0.17 * 200) = 134

This satisfies conditions of >130 survey participants and Standard employees >100

So correct value of S is 200

What is the slope of the line through (-9, 6) and (-6, -9)? A/ ⅕ B/ 5 C/ -5 D/ -⅕

Answers

Answer:

-5

Step-by-step explanation:

We can find the slope between two points by using

m = (y2-y1)/(x2-x1)

    = ( -9-6)/(-6 - -9)

   =(-9-6)/( -6+9)

  -15/3

   -5

Answer:

C

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 9, 6) and (x₂, y₂ ) = (- 6, - 9)

m = [tex]\frac{-9-6}{-6+9}[/tex] = [tex]\frac{-15}{3}[/tex] = - 5 → C

The cross sectional area of a square shaped tunnel is 25m², the volume of the tunnel is 575m³. How long is the tunnel?

Answers

Answer:

23 m

Solution,

Let the length of tunnel be 'l'

Area=25 m^2

Volume of tunnel= cross sectional area* length

[tex] or \: 575 = 25 \times l \\ or \: l = \frac{575}{25} \\ l = 23 \: m[/tex]

Hope this helps..

Good luck on your assignment..

The following box plot shows points awarded to dance teams that competed at a recent competition:

Answers

Answer:

top plot

Step-by-step explanation:

From the box and whisker plot, the smallest data point is 0 and the largest data point is 100

The median is 70

The only plot that has points at 0 and 100 is the first plot

How many kilometers is it from the main gate to Manatee Springs? (Hint: To convert from

yards to kilometers, multiply by 0.0009144). Round answer to the nearest hundredth kilometer

Manatee Springs

Elephant

House

3,500 yds

- 200 yds

Tran Depot

2000

Bird Sanctuary

Main Gate

(SHOW WORK)

Answers

Answer:

6.04 km

Step-by-step explanation:

From the image attached, both triangles form are similar to each other because their corresponding angles are equal, therefore they are equiangular triangles. equiangular triangles have the same shape but different sizes and the ratio of their corresponding sides are equal.

Therefore since their corresponding sides are equal we can calculate the distance from the main gate to Manatee Springs. It is given by:

[tex]\frac{3500\ yards}{2000\ yards} = \frac{4200\ yards}{x}\\ x= \frac{4200\ yard*2000\ yards}{3500\ yards}=2400\ yards[/tex]

x = 2400 yards.

The distance from the main gate to Manatee Springs = x + 4200 yards = 2400 + 4200 = 6600 yards

The distance from the main gate to Manatee Springs = 6600 yards = (6600 * 0.0009144) km = 6.04 km

The distance from the main gate to Manatee Springs = 6.04 km

Un ciclista debe realizar una ruta a través de una carretera para ir desde una ciudad A hasta una ciudad B en varios tramos. El primer tramo mide dos tercios del tercer tramo, el segundo tramo es dos veces mayor que el tercer tramo y el cuarto tramo tiene la medida del primero más el segundo. Si el último tramo es de 80 km, ¿cuál será la distancia total recorrida de la ciudad A hasta la ciudad B?

Answers

Respuesta:

190 km

Explicación paso a paso:

Lo primero es hacer las equivalencias, sea a el primer tramo, b el segundo tramo, c el tercer tramo y el ultimo tramo, el cuarto sería d, entonces:

a = 2/3*c

b = 2*c

d = a + b

Ahora bien sabemos que d = 80, reemplazamos y nos queda:

80 =  a + b

tanto a cómo b están en función del tercer tramo es decir de c, reemplazamos:

80 = 2/3*c + 2*c

80 = 8/3*c

c = 80*3/8

c = 30

ahora calculamos tanto a como b:

a = 2/3*30 = 20

b = 2*30 = 60

Ahora, el recorrido total es la suma de todos los tramos:

Total = a + b + c + d

Total = 20 + 60 + 30 + 80 = 190

Quiere decir que la distancia entre la ciudad A y la cuidad B es de 190 km

This box has the same length, width, and height as the two tennis balls. Which expression gives the volume of the empty space encircling the tennis balls inside the box?

Answers

Formala : Times bottom row with side row with the height.

Example: A box has the same length, width, and height as two tennis balls.

Times the bottom row with side row with the height.

Please answer ASAP! (I'll give brainliest and no need for explanation!)

Answers

Answer:

Median=3, Mean=2.333

Step-by-step explanation:

The MEDIAN is the middle number so you can either write all the values out in a row or look at the frequency of each number to find which would be in the middle.
Answer: 3

The MEAN is the average of all the numbers. To find it, add all the values together (remember to include as many of each value as the frequencies indicate) and then divide by the number of values you added together.
Answer:
0+0+1+1+1+1+1+1+1+1+2+2+2+2+3+3+3+3+3+3+3+3+3+3+4+4+4+4+4+4=70
2+8+4+10+6= 30
70/30= 2.333

OR

0x2=0
1x8=8
2x4=8
3x10=30
4x6=24
0+8+8+30+24= 70
2+8+4+10+6= 30
70/30=2.3333

which of the following sum in simplest form (radicals)

Answers

Answer:

9√2

Step-by-step explanation:

Easiest and fastest way is to plug it into a calc and calculate. If not, you will have to simplify the expressions to have a common root in order to add.

Answer:

92

Option C is the correct option.

Solution,

[tex] \sqrt{8} + 3 \sqrt{2} + \sqrt{32} \\ = \sqrt{2 \times 2 \times 2} + 3 \sqrt{2} + \sqrt{2 \times 2 \times 2 \times 2 \times 2} \\ = 2 \sqrt{2} + 3 \sqrt{2} + 2 \times 2 \sqrt{2} \\ = 2 \sqrt{2} + 3 \sqrt{2} + 4 \sqrt{2} \\ =( 2 + 3 + 4 )\sqrt{2 } \\ = 9 \sqrt{2} [/tex]

Hope this helps...

Good luck on your assignment..

30 Points!! Vivian is at a fair in Coachella Valley, California. Much of the valley lies below sea level. Vivian has brought along an altimeter to measure her elevation at different places in the valley. Vivian’s first ride was on the Ferris wheel. When she sat on the wheel at its lowest point, her altimeter read -9.6 feet. When she reached the top of the wheel, her altimeter read 12.3 feet.



Is the change in Vivian's elevation from the bottom of the Ferris wheel to the top a positive number or a negative number? Why?

Answers

Answer:

Its a postive number

Step-by-step explanation:

If you look it says she is at sea leveal wicth is 0 and she is going up 12.3 feet so its postive.

The change in elevation from the bottom of the Ferris wheel to the top is 21.9 feet, which is a positive number.

What is subtraction?

The process of subtracting one number from another is known as subtraction.

Given that, the lowest point of the Ferris wheel is -9.6 feet, and the highest point is 12.3.

The change in elevation from the bottom of the Ferris wheel to the top of the Ferris wheel is,

12.3 - (-9.6)

=12.3 + 9.6

= 21.9

Hence, the change in elevation from the bottom of the Ferris wheel to the top is 21.9 feet, which is a positive number.

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Eight people rob a bank: * By what percent does the share of three robbers increase?

Answers

Answer:

Step-by-step explanation:

It increase by 2.3

Riley has a farm on a rectangular piece of land that is 200200200 meters wide. This area is divided into two parts: A square area where she grows avocados (whose side is the same as the length of the farm), and the remaining area where she lives.


Every week, Riley spends \$3$3dollar sign, 3 per square meter on the area where she lives, and earns \$7$7dollar sign, 7 per square meter from the area where she grows avocados. That way, she manages to save some money every week.



Write an inequality that models the situation. Use lll to represent the length of Riley's farm.

Answers

Answer:

The inequality that models the situation for her to have money to save is

7L² > 3(200L - L²)

On simplifying and solving,

L > 60 meters

Step-by-step explanation:

The length of her farm = L meters

The farm where she grows avocados is of square dimension

Area of the farm = L × L = L²

The piece of land is 200 m wide.

Total area of the piece of land = 200 × L = (200L) m²

If the area of her farm = L²

Area of the side where she lives will be

(Total area of the land) - (Area of the farm)

= (200L - L²)

= L(200 - L)

Every week, Riley spends $3 per square meter on the area where she lives, and earns $7 per square meter from the area where she grows avocados.

Total amount she earns from the side she grows the avocados = 7 × L² = 7L²

Total amount she spends on the side where she lives = 3 × (200L - L²) = 3(200L - L²)

For her to save money, the amount she earns must be greater than the amount she spends, hence the inequality had to be

(Amount she earns) > (Amount she spends)

7L² > 3(200L - L²)

To simplify,

7L² > 3L(200 - L)

Since L is always positive, we can divide both sides by L

7L > 3(200 - L)

7L > 600 - 3L

10L > 600

L > 60 meters

Hope this Helps!!!

Answer:

Answer is in attached image.

Please help me find the area of this shape

Answers

Answer:

44+50 =94 in²

Step-by-step explanation:

Trapezoid

A= 1/2h(b1+b2)

A= 1/2*4(7+15)

A=1/2*4(22)

A=44

Rectangle

A=l*w

A=5*10

A=50

44+50 =94 in²

I agree wit buddy above me

Can I get the awnser to this please?

Answers

Answer:

151.320046 m^2

150 m^2

Hope it helped!!!!!

Step-by-step explanation:

Area of the circle is:

pi * r^2

Therefore:

= pi * 17^2

= 289 * pi

Now  Area of the sector:

= 289 * pi * (60/360)

= 289 * pi * 1/6

= 48.1666667 * pi

= 151.320046 m^2

= 150 m^2 (rounded)

Identify the system of inequalities from the following. 3x + y > 2 and 3y 2 and 3y 2 and 3y < 9 4x + y = 2 and 3y < 2m

Answers

Answer:

The inequalities are;3x+y>2,3y<9,4x+y=2and 3y<2m

Pls help ASAP! Given a polynomial f(x), if (x − 1) is a factor, what else must be true? f(0)= 1 f(1)=0 f(-1)=0 f(0)=-1

Answers

Answer:

f(1) = 0

Step-by-step explanation:

If you set x - 1 equal to 0 and solve, you get x = 1 when y is 0

Answer: x+1 plus the fator

Step-by-step explanation:

Can any of y’all help me with this problem?

Answers

Answer:

90º clockwise rotation

Step-by-step explanation:

The rotation is a 270º counterclockwise rotation, since 270º rotation is

(x, y) → (y, -x)

F(1, 3) → (3, -1)

270º counterclockwise rotation is the same as a 90º clockwise rotation, so the answer is 90º clockwise rotation.  

90° clockwise rotation

Trig work i don’t understand. pls help

Answers

Answer: A

Step-by-step explanation:

So we know that to find the area of a triangle you have to multiply the base times the height and divide it by two or multiply it by 1/2.Looking the information given it say that theta is equal to 26 degrees  and the length of a or the hypotenuse is 25 and b which in this case is the base is 32. So the information gives us the base but now we need to find the height.

To find  H we need to apply trigonometry solve for h the height.

As we could see theta which is 26 degrees is opposite the height and we know the hypotenuse length. So using soh cah toh we have to know that the length of h is  going to be using the sin formula opposite over hypotenuse.

[tex]sin(26)=\frac{h}{25}[/tex]    solve for h by multiplying both sides by 25.

h= 25 sin(26)

h= 10.96   is being rounded to the nearest hundredth because that is essential

Now we know H is equal to 10.96  which is the Height so now we have all the information we need the height and the base.

Multiply 10.96 by 32 and divide it by 2.

10.96 * 32 =  350.72

350.72 /2 = 176.36  

The best answer is A  because that is the only best approximation to 175.35.

Sean los ángulos a y B, donde la suma de la mitad de a mas la tercera parte de B es igual a 15. calcula el doble del cociente del seno de 3a y el coseno de 2B. Urgente pls a es alpha y B es beta por si acaso

Answers

Answer:

Supongo que tenemos dos ángulos A y B

"la mitad de A mas la tercera parte de B es igual a 15°" (también supongo que son grados)

A/2 + B/3 = 15°

A/2 = 15° - (B/3)

A = 30° - 2*(B/3)

Ahora queremos calcular:

2*sin(3*A)/cos(2*B)

pero podemos reemplazar A por lo que tenemos arriba:

2*sin(3*(30° - 2*(B/3)))/cos(2*B)

2*sin(90° - 2*B)/cos(2*B)

y como sabemos,  

Sin( 90° - x) = Sin(90°)*cos(-x) + cos(90°)*sin(-x) = cos(-x) = cos(x)

entonces:

2*sin(90° - 2*B)/cos(2*B) = 2*cos(2*B)/cos(2*B) = 2*1 = 2.

Other Questions
Average acceleration. Please help! School experiences for boys tend to be: Group of answer choices challenging because they have greater needs for large-muscle activity, which has become an even greater challenge in schools with reduced recess time. rewarding because sexism affords them subtle advantages that helps them to read and write more quickly than girls. challenging for boys of color because racial oppression makes it harder for them to "act tough" and as a result, they are more prone to being ridiculed. rewarding for boys of color because their experiences with racism make them tougher than white boys and this helps them win approval on gender terms. 10 tolas gold bought from American market at $ 553 per tola is sold in Nepal at 20% customs duty charge and 13% VAT. At what price should it be sold ? El costo de pintar un muro se calcula con un tercio del doble del rea por el triple del numero de trabajadores. Si se planea pintar un muro de 1200m y se contrataran a 3 trabajadores. Cuanto se pagara? Sample data for the arrival delay times (in minutes) of airlines flights is given below. Determine whether they appear to be from a population with a normal distribution. Assume that this requirement is loose in the sense that the population distribution need not be exactly normal, but it must be a distribution that is roughly bell-shaped Click the icon to view the data set. Is the requirement of a normal distribution satisfied? A. No, because the histogram of the data is not bell shaped, there is more than one outlier, and line points in the normal quantile plot do not lie reasonably close to a straight line.B. Yes, because the histogram of the data is bell shaped, there are less than two outliers, and the line points in the normal quantile plot lie reasonably close to a straight line.C. Yes, because the histogram of the data is not bell shaped, there is more than one outlier, and line points in the normal quantile plot do not lie reasonably close to a straight line.D. No, because the histogram of the data is bell shaped, there are less than two outliers, and the the points in the normal quantile plot do not lie reasonably close to a straight In the Renaissance furniture decoration on wood entitled Architectural Perspective, by Francesco di Giorgio Martini, the pavement and buildings are portrayed using:______ which factor is most responsible for the fact that water is a liquid rather than a gas at room temperature which inequality represents the statement? the number of new cars(C) a ship carries cant exceed 975.A. c975C. c)975 Social hierarchies dictated in Spanish and Portuguese colonies that migrants born in Europe were peninsulares and people born in the Americas of Iberian parents were called _______. PLEASE HELP!!! A LOT OF POINTS AND BRAINLIEST TO CORRECT ANSWERS!!! 1. Find the area of the region enclosed by the graph of [tex]$x^2 + y^2 = 2x - 6y + 6$[/tex]. 2. The line [tex]x=4[/tex] is an axis of symmetry of the graph of [tex]$y = ax^2 + bx + c.$[/tex] Find [tex]$\frac{b}{a}$.[/tex]. 3. The graph of [tex]$y = ax^2 + bx + c$[/tex] is shown below. Find [tex]$a \cdot b \cdot c$[/tex]. (The distance between the grid lines is one unit, picture of graph attached.) 4. Geometrically speaking, a parabola is defined as the set of points that are the same distance from a given point and a given line. The point is called the focus of the parabola and the line is called the directrix of the parabola. Suppose [tex]$\mathcal{P}$[/tex] is a parabola with focus [tex]$(4,3)$[/tex] and directrix [tex]$y=1$[/tex]. The point [tex]$(8,6)$[/tex] is on [tex]$\mathcal{P}$[/tex] because [tex]$(8,6)$[/tex] is 5 units away from both the focus and the directrix. If we write the equation whose graph is [tex]$\mathcal{P}$[/tex] in the form [tex]$y=ax^2 + bx + c$[/tex], then what is [tex]$a+b+c$[/tex]? 5. (This is a Writing Problem - please please please explain and answer the question thoroughly!) A quadratic of the form [tex]$-2x^2 + bx + c$[/tex] has roots of [tex]$x = 3 + \sqrt{5}$[/tex] and [tex]$x = 3 - \sqrt{5}.$[/tex] The graph of [tex]$y = -2x^2 + bx + c$[/tex] is a parabola. Find the vertex of this parabola. If you do manage to answer every single one of these correctly, THANK YOU SO MUCH and please know you are very much appreciated! :) What is the m ZACB?105090180 cube of -1/2 is equal to-----------. i need urgent please.I will mark brainest What were the effects of Vietnams rebellion against France? Check all that apply.A.The communist movement grew stronger in North Vietnam.B.Neighboring countries fell to democracy.C.US leaders worried that other countries would fall to communism.D.People worried that Vietnam would become communist. E.Ha Chi Minh lost control of the Vietnamese government. Here were 87 sunflowers at the flower shop in the morning. There were 56 sunflowers left at the end of the day. How many sunflowers were sold? Explain a way to solve the problem. What is the solution to (5m) - (2n-3m) if m=-3 and n=5 Lee watches TV for 2 hours per day. During that time, the TV consumes 150 watts per hour. Electricity costs (12 cents)/(1 kilowatt-hour). How much does Lee's TV cost to operate for a month of 30 days? If f(x)=8x and g(x)=2x+1, what is (fg)(x) 11. Three men can build a wall in 10 hours. Howmany men would be needed to build the wall in7 hours? Blue light ( = 475 nm) is sent through a single slit with a width of 2.1 m. What is the maximum possible number of bright fringes, including the central maximum, produced on the screen? (Hint: What is the largest angle that can be used?) Can someone please explain how I should answer the text below and what it means thoroughly with an explanation?Synthesize information from the novel by revealing how you have changed and/or added to your background knowledge on a specific topic based on information from this text.