Find the area of the triangle.

Answer:

(2, 0)

Step-by-step explanation:

y = x - 2

y = x² - 3x + 2

Since both equations equal y, you can set the equations equal to each other.

x - 2 = x² - 3x + 2

x = x² - 3x + 4

0 = x² - 4x + 4

0 = (x - 2)(x - 2)

x - 2 = 0

x = 2

Now that you have an x-value, solve for y.

y = x - 2

y = 2 - 2

y = 0

The solution is (2, 0).

Answer:

Monique made an error when writing the factored expression.

Step-by-step explanation:

The factorisation of the expression 4x+16xy is 4x(1+4y).

The given expression is 4x+16xy.

In mathematics, factorization or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.

Now, 4x=2×2×x and 16xy=2×2×2×2×x×y

so, the GCF of terms 4x.

Now, 4x(4x/4x+16xy/4x)=4x(1+4y)

Therefore, the factorisation of the expression 4x+16xy is 4x(1+4y).

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Answer:

c

Step-by-step explanation:

Answer:

Both a relation and a function

Step-by-step explanation:

Replicates itself every 14 minutes, which is exponential function

Answer:

[tex]\sqrt{1728}[/tex]

Step-by-step explanation:

=> [tex](2*6)^{3/2}[/tex]

=> [tex](12)^{3/2}[/tex]

=> [tex]1728 ^{1/2}[/tex]

=> [tex]\sqrt{1728}[/tex]

Answer:

4x

Step-by-step explanation:

8x^2 = 2*2*2 *x*x

4x = 2*2 *x

The greatest common factor is 2*2*x = 4x

Answer:

A

Step-by-step explanation:

8x² - 4x

Factor out the greatest common factor.

4x(2x) - 4x(1)

4x(2x - 1)

The greatest common factor of the polynomial is 4x.

The Lewis family and the Perry family each used their sprinklers last summer. The water output rate for the Lewis family's sprinkler was 15 L per hour. The water output rate for the Perry family's sprinkler was 40 L per hour. The families used their sprinklers for a combined total of 65 hours, resulting in a total water output of 1850 L . How long was each sprinkler used

Answer:

Hours of use of sprinkler by Lewis family is 30 hours.

Hours of use of sprinkler by Perry family is 35 hours.

Step-by-step explanation:

Let W = hours of use by Lewis family

65 - W = hours of use by Perry family

Then;

15W + 40*(65 - W) = 1850

15W + 2600 - 40W = 1850

(15 - 40)W = 1850 - 2600

-25W = −750

W = 750/25 = 30

Therefore;

W = 30

65 - W = 65 - 30 = 35

Hence,

Hours of use by Lewis family is 30 hours.

Hours of use by Perry family is 35 hours.

Answer:

[tex]y=\frac{5}{6}x+5[/tex]

Step-by-step explanation:

Well this is actually really simple we just have to look at the line and see what attributes it has so we can make an equation.

So slope intercept form is [tex]y=mx+b[/tex].

Like to find the y intercept we know it is the point that the line touches the y axis which is 5.

Now for the slope, the slope is how far each points are from each other on a line so to find the slope we can use the following formula [tex]\frac{y^2-y^1}{x^2-x^1}[/tex].

So to do this we need two points that are on the line we can use (-6,0) and (6,10).

So y2 is 10 and y1 is 0 so 10-0 is 10 and 6 - -6 is 12 so the slope is 10/12 and we have to simplify it to 5/6 so the slope is 5/6 and now we have to put it in slope intercept -> [tex]y=\frac{5}{6}x+5[/tex]

Answer:

The answer is

Step-by-step explanation:

To find side b we use cosine

cos ∅ = adjacent / hypotenuse

From the question

side c is the hypotenuse

side c = 48 feet

side b is the adjacent

∅ = 35°

We have

cos 35 = b/c

cos 35 = b / 48

b = 48 cos 35

b = 39.319

b = 39.32 feet to 2 decimal places

Hope this helps you

Answer:

b ≈ 39.32 ft

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos35° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{b}{c}[/tex] = [tex]\frac{b}{48}[/tex] ( multiply both sides by 48 )

48 × cos35° = b, thus

b ≈ 39.32 ft ( to 2 dec. places )

Answer:

Step-by-step explanation:

If F and H are midpoints of sides of rectangle then FH is parallel to the other side of rectangle so FH is perpendicular to the EG. That means the lenght of FH is equal to lenght of rectangle, and the lenght of EG is equal to width of rectangle.

So the area of the rectangle:  [tex]A_{rectangle}=EG\cdot FH[/tex]

FH ⊥ EG so the area of quadrangle EFGH:

[tex]A_{_{EFGH}}=\frac12EG\cdot FH=\frac12A_{rectangle}[/tex]

no matter the location of segment EG

The area of EFGH is always One-half of the area of the rectangle.

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

We have given that;

the kite EFGH is inscribed in a triangle and F and H are midpoints and EG is parallel to the side of rectangle.

The kite consists of 2 triangle that are EFG and EHG.

Now,

In a triangle EFG is,

= 1/2 x EG x h......(1)

where h is the height from F to EG

Also the area of EHG:

= 1/2 x EG x h₁

where is the height from H to EG

We also know that h₁ + h is the width of the rectangle and EG is the length of the rectangles.

Area of Kite = = 1/2 x EG x h + 1/2 x EG x h₁

Also, The area of a rectangle is rectangle length × rectangle width.

Thus, The Kite EFGH is inscribed in a rectangle such that F and H are midpoints and EG is parallel to the side of the rectangle.

Hence, The statement describes how the location of segment EG affects the area of EFGH is the area of EFGH is always One-half of the area of the rectangle.

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Answer:

y = 0.5x + 2

Step-by-step explanation:

the y-intercept is 2, as shown in the graph

the slope is 0.5. this is because while the x-value goes up by 2, the y-value goes up by one (from 0, 2 to 2, 3).

using the slope formula of rise / run, you get 1/2, which is equal to 0.5

Answer:

CPCTC

Step-by-step explanation:

You already proved that triangle BAD is congruent to CAD, this means that all of the corresponding angles and sides with be congruent (CPCTC). That means BD is congruent to CD. Hope this helps!

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

Lynn is making custom bricks. She combines 39 pounds of water and 48 pounds of brick dust in a mixing bucket. She spills 13 pounds of the mixture while stirring the contents. The mixture is then poured into small dirt holes to make bricks. Each brick requires 7 pounds of mixture, and the leftover mixture is washed out of the mixing bucket.

What is the greatest number of bricks Lynn can make?  

How many pounds of mixture will be washed out of the bucket if Lynn makes the greatest  number of bricks?

Answer:

Greatest number of bricks = 70

Washed out mixture = 4 pounds

Therefore, Lynn can make at most 70 bricks and 4 pounds of mixture will be washed out if she makes 70 bricks.

Step-by-step explanation:

She combines 39 pounds of water and 48 pounds of brick dust in a mixing bucket.

Amount of mixture = 39 pounds of water + 48 pounds of brick dust

Amount of mixture = 87 pounds

She spills 13 pounds of the mixture while stirring the contents.

Amount of mixture left = 87 pounds - 13 pounds

Amount of mixture left = 74 pounds

Each brick requires 7 pounds of mixture

What is the greatest number of bricks Lynn can make?  

Greatest number of bricks = 7×10

Greatest number of bricks = 70

How many pounds of mixture will be washed out of the bucket if Lynn makes the greatest  number of bricks?

Washed out mixture = 74 pounds - 70 pounds

Washed out mixture = 4 pounds

Therefore, Lynn can make at most 70 bricks and 4 pounds of mixture will be washed out if she makes 70 bricks.

Answer:

1. 3511

2 B= 0.25

Step-by-step explanation:

1. The number of single scoop cone is represented as s while the number of double scoop cone is represented as d. The total number of scoop cone the coach bought is 15 and the total sum is 57 dollars .

Therefore, multiply the number of single scoop cone(s) by each price and also find the product of the number of double cone(d) and the price of each . Then add the result to get 57 dollars. Therefore, A = 3 dollars and B = 5 dollars. The sum of s and d will give 15 . Therefore, C and E is equals to 1.

2. s is the number of small candies while l is the number of big candies. The individual cost of the small candies and the large candies are in cents so we have to convert them to dollars.

Cost of each small candies = 10/100 = 0.1 dollars

Cost of each large candies = 25/100 = 0.25 dollars.

Therefore, using the same principle as number 1

A = 0.1 dollars

B = 0.25 dollars

The value of E = 52

Answer:

x = arcsin 0.591 = 0.632 radian or 36.21 degrees

Step-by-step explanation:

Angle x and the sides 13 and 22 cm are related through the sine function as follows:

            opposite side      13 cm

sin x = ---------------------- = ------------- = 0.591

              hypotenuse         22 cm

Now find x using the inverse sine function:

x = arcsin 0.591 = 0.632 radian or 36.21 degrees

Answer:

Solution,

Perpendicular = AB

hypotenuse = AC

we know that,

[tex]sin \: theta = \frac{perpendicular}{hypotenuse} [/tex]

[tex]sin \: x \: = \frac{ab}{ac} [/tex]

[tex]x = {sin}^{ - 1} \frac{13}{22} [/tex]

[tex]x = 36.22[/tex]

Hope this helps...

Answer:

(A) 1

Step-by-step explanation:

We know that the formula is x = (m/m+n) (x2-x1) + x1.

But the trick to the question which is why everyone is getting it wrong is because it asks for F to D not D to F.

The reason everyone else was getting 4 was because they were using this.

They solved the equation x = (8/8+5) (9-[-4]) -4 where it was D to F. This equation does turn out to be 4 but it is incorrect.

However, the correct equation (because it is supposed to be F to D) is

x = (8/8+5) (-4 -9) +9 which is in fact equal to 1.

I also just took the quiz and got 100%.

PRESS THAT THANKS BUTTON!!!

Answer:

$26.

Step-by-step explanation:

His original salary was $20. It increased by 20%. In other words, the total salary he earns is now:

[tex]20+20(.3)=20(1.3)=26[/tex]

His new salary is $26.

Note: For the second step, I used the distributive property.

[tex]20(1)+20(.3)=20(1+.3)=20(1.3)[/tex]

Answer:

d

Step-by-step explanation:

the answer would be (x-2)(x+2)

Answer:

8

Step-by-step explanation:

BD is 32 units.

BE is half of BD

3x - 8 = 32/2

3x - 8 = 16

3x = 16 + 8

3x = 24

3/3x = 24/3

x = 8

Answer:

Solution,

Diagonals of rectangle bisects each other.so,

2 BE = BD

2( 3x - 8 ) = 32

6x - 16 = 32

Add 16 on both sides

6x - 16 + 16 = 32 + 16

Simplify

6x = 48

divide both sides of equation by 6

6x/6 = 48/6

calculate

X = 8

Hope this helps...

Good luck on your assignment..

Answer:

                 [tex]\bold{m=-\dfrac23}[/tex]

Step-by-step explanation:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\\(-9,\,5)\ \implies\ x_1=-9\,,\ y_1=5\\(6,\,-5)\ \implies\ x_2=6\,,\ y_2=-5\\\\m=\dfrac{-5-5}{6-(-9)}=\dfrac{-10}{6+9}=-\dfrac{10}{15}=-\dfrac23[/tex]

Answer:

  x - y = 2   and   x + 2y = -2

Step-by-step explanation:

Since you have the graph, you can easily see that the point of interest is nearest the intersection of the orange and pink lines.

__

Recognizing that the intercepts of a line in standard form are ...

  ax +by =c

  x-intercept: c/a

  y-intercept: c/b

You can easily determine the corresponding intercepts for the given lines. We can tell from the graph that we only need to know what the y-intercept is in order to match the equation to the line. Here are the y-intercepts:

The system of equations with the desired solution is ...

  x -y = 2  and  x +2y = -2

Answer:

A: x-y= 2 and x+2y= -2

Step-by-step explanation:

I got it right on Edge 2020

Answer:

c = 6√2 cm

Step-by-step explanation:

a² + b² = c²

6² + 6² = c²

36 + 36 = c²

108 = c²

c = ± √108 = ± 6√2

Since the side length of a triangle can't be negative, c = -6√2 is an extraneous solution; therefore the answer is c = 6√2.

Answer:

72 cm or 6 square root of 2

Step-by-step explanation:

a^2+b^2=c^2

6^2+6^2=c^2

36+36=72

c= 72 cm.  or 6 square root of 2

hope this helps.

Answer:

Step-by-step explanation:

vertex of g(x) is (0, 0), so:

[tex]g(x)=a(x-0)^2+0\\\\g(x)=ax^2 \qquad and\qquad (2,\,1)\in g(x)\\\\1=a\cdot2^2\\1=4a\\a=\frac14\\\\g(x)=\frac14x^2=(\frac12x)^2[/tex]

Answer:

y = 7

z = 1

Step-by-step explanation:

If the triangles are congruent

AB = QR

y+ 34 = 41

Subtract 34 from each side

y = 41-34

y = 7

and QP = BC

38 = z+37

Subtract 37 from each side

38-37 = z

1 =z

Answer:

y = 7

z = 1

Step-by-step explanation:

The triangles are congruent, the length of the sides are equal.

y + 34 = 41

y = 41 - 34

y = 7

z + 37 = 38

z = 38 - 37

z = 1

Answer:

The evaluated answer to this equation is 19.

Step-by-step explanation:

2r² + 3s³ - r² + 4t² - r²

In the problem, we are given values for the variables in the equation.

r = -2

s = -3

t = 5

Let's plug these numbers into the equation.

2(-2)² + 3(-3)³ - (-2)² + 4(5)² - (-2)²

First, simplify the exponents.

2(4) + 3(-27) - (4) + 4(25) - (4)

Next, multiply the numbers starting from left to right.

8 + (-81) - 4 + 100 - 4

Add 8 and -81 together.

-73 - 4 + 100 - 4

Subtract 4 from -73.

-77 + 100 - 4

Add -77 to 100.

23 - 4

Subtract 4 from 23.

19

So, your final simplified answer to this equation is 19.

Answer:

The probability of choosing a heart, P(Heart) = 13/52 = 0.25

Step-by-step explanation:

Answer:

All negative numbers

Step-by-step explanation:

They are not whole numbers

Answer:

0

Step-by-step explanation:

Since negative numbers are not considered whole numbers, they are not included here. All natural numbers are whole numbers but not all whole numbers are natural numbers. 0 is a whole number but it doesn't count as a natural number which makes the answer 0

answer

f(x)= 3x

= 3×-2 = -6

D. -6

Answer:

D.

Step-by-step explanation:

Since this isn't a credit card, there are no interests or fees on a debit card, so A is incorrect. B is also incorrect. You only need identification when you are withdrawing or depositing at a bank, but purchases made in stores or online do not need your identification. You also don't need to record transactions in your checkbook (but it is recommend to keep track of purchases). Modern day technology already records transaction history and all you need to do is access it online.

D is correct because if someone steals your PIN for your debit card, they could go to stores and use that money. You can dispute charges and report to the bank if that happens.

Answer:

Marcus will receive a total of $17,542.2 when he redeems the certificate of deposit (CD) at the end of 10 years

Step-by-step explanation:

Principal(p)=$13,000

Rate(r)=3.0%

Period(n)=12 months

Time(t)=10 years

A=p(1+r/n)^nt

=13,000(1+0.03/12)^12*10

=13,000(1+0.0025)^120

=13,000(1.0025)^120

=13,000(1.3494)

=17,542.2

A=$17,542.2

Marcus will receive a total of $17,542.2 when he redeems the certificate of deposit (CD) at the end of 10 years

Answer:

x = -1/2, 3/4

Step-by-step explanation:

Step 1: Factor

(2x + 1)(4x - 3) = 0

Step 2: Find roots

2x + 1 = 0

2x = -1

x = -1/2

4x - 3 = 0

4x = 3

x = 3/4