A quadratic relation has zeros at 3 and –5. The parabola goes through the point (2, –14). What is the equation of the parabola in standard form?

Answer:

x = -44/13

y = -65/13

Step-by-step explanation:

Using matrix form means using the crammers rule

The matrix form of the expression is written as;

[tex]\left[\begin{array}{ccc}8&5\\-1&1\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}9\\7\\\end{array}\right][/tex]

AX = B

taking the determinant of A;

|A| = 8(1) - 5(-1)

|A| = 8 + 5

|A| = 13

After replacing the first row with the column matrix;

[tex]A_x =\left[\begin{array}{ccc}9&5\\7&-1\\\end{array}\right][/tex]

|Ax| = 9(-1)-5(7)

||Ax| = -9 - 35

|Ax| = -44

x = |Ax|/|A|

x = -44/13

similarly for y

[tex]A_x =\left[\begin{array}{ccc}8&9\\-1&7\\\end{array}\right][/tex]

|Ay| = 8(7)+9

|Ay| = 56+9

|Ay| = 65

y = |Ay|/|A|

y = -65/13

Answer:

0.54 cents

Step-by-step explanation:

4 cups per quart = 8 cups per 2 quarts

4.32/8 = .54

Answer:

(x,y)↦ ( x + 1 ) , ( y + 9 )

scale factor 2  

Step-by-step explanation:

Step 1 identify the translation.

To do this we find the center of ⨀T and the center of ⨀T' and find the difference between their x and y values.

The center of ⨀T is at ( -1 , -7 )

The center of ⨀T' is at ( 0 , 2 )

we now find the difference between the x and y values. ( note that you must subtract the x and y values from the preimage from the translated image to get the correct translation. )

For the x values: 0 - ( - 1 ) = + 1

For the y values:  2 - ( -7 ) = + 9

So translation was (x,y)↦ ( x + 1 ) , ( y + 9 )

step 2 Find the scale factor

We can identify the scale factor by dividing the radius of the preimage by the radius of the dilated image.

The radius can be identified by finding the distance between the center and any point on the circle

The radius of the preimage is 3

The radius of the dilated image is 6

So scale factor = 6 / 3 or 2

Answer:

A. Alternate Interior

Step-by-step explanation:

A. Alternate interior

Step-by-step explanation:

Angles a and b are alternate interior angles,

Alternate interior angles are equal.

Also,

a = b

Answer: -1/2 and -3/2

Step-by-step explanation:

After answering the query, we may state that area of shaded region = 100.48-64 =  36.48 sq cm.

Each point in the plane that is a certain distance from the centre (another point) forms a circle. Thus, it is a curve composed of points whose are separated from another point in the plane by a certain distance. Additionally, at every angle, it is alternately symmetric about the centre. The closed, two-dimensional plane of a circle has every pair of points equally separated from the "centre." By drawing a line through the circle, one may create a line of circular symmetry. Additionally, at every angle, it is rotationally equal about the Centre.

here, by Pythagoras theorem

diagonal =  [tex]\sqrt(8^2 + 8^2) = \sqrt(64+64) = \sqrt(128) = 8\sqrt2[/tex]

radius = [tex]4\sqrt2[/tex]

area of circles = [tex]\pi r^2 = 3.14 * (4\sqrt2)^2 = 100.48 cm^2[/tex]

area of square = 8*8 = 64 sq cm

area of shaded region = 100.48-64 =  36.48 sq cm.

To know more about circle visit:

https://brainly.com/question/29142813

#SPJ1

Answer:

no lol

Step-by-step explanation:

Answer:

i will tell you what to do and then you do the work

Step-by-step explanation:

arrange the numbers from lowest to largest

count the amount of numbers to find how many students wrote each test

to find the mean add all of the numbers up then divide by the amount of numbers there are

to find the mode it that is the number that appears the most or the most common value

to find the median is the middle number, when you put it from lowest to largest, it will be the middle number

hope this helps

Answer:

x ≠ 4/5, x ≠ 9/4

You can also write it as "all real numbers except 4/5 and 9/4."

Step-by-step explanation:

The denominator of a fraction cannot equal 0. We can write this relation to find what x does NOT equal:

(5x - 4)(4x - 9) ≠ 0

We can use the zero-product property to get two separate equations:

5x - 4 ≠ 0

5x ≠ 4

x ≠ 4/5

4x - 9 ≠ 0

4x ≠ 9

x ≠ 9/4

Answer:

120miles

Step-by-step explanation:

I am not sure exactly I just guessed that since it's 40 miles an hour, it would be 40 x 3 ~ but am not sure... hope it works out!

btw am rlly bad at this :'')

- sry if am wrong

Answer: D or y remains unchanged

Step-by-step explanation:

Answer:

D or y remains unchanged

Step-by-step explanation:

Answer:

Volcanic Eruptions, Earthquakes, Erosion

I am very sorry if this is wrong

Have a great rest of your day and good luck!

Answer:

the answer is a, b, and d

Step-by-step explanation:

erosion is caused by wearing down overtime

Answer:

7 days

Step-by-step explanation:

So! Ms. Masi earns $11.25 everyday, and is paying her brother back everyday. Let's make an equation to solve for the number of days!

11.25d = 72 (d = # of days)

Now, we have to solve this equation to see how many days (d) it will take Ms. Masi to pay her brother back.

11.25d = 72

÷11.25   ÷11.25 (Divide by "11.25" to get the variable by itself)

d = 6.4

Since, she only gets 1 pay per day, Ms. Masi will have to wait til her 7th day to pay her brother back.

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

slope = 0

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 ) = (8, - 9) and (x₂, y₂ ) = (14, - 9)

m = [tex]\frac{-9+9}{14-8}[/tex] = [tex]\frac{0}{6}[/tex] = 0

Answer:

49

Step-by-step explanation:

equilateral triangles have 3 equal sides so you do 147/3

Answer:

3

Step-by-step explanation:

Answer:

The answer is 8.5

Step-by-step explanation:

Just list all the numbers and cross them out one by one.

Add up all of the numbers and divide by the number of numbers in the data set. The median is the central number of a data set. Arrange data points from smallest to largest and locate the central number. This is the median.

Answer:

a 150

Step-by-step explanation:

Answer:

120cm^2

Step-by-step explanation:

el volumen del prisma triangular es = b * l

b = 1/2 (4) (6/2) (2) = 12

l = 10

12 * 10 = 120

Answer:

y = -5x - 10

Step-by-step explanation:

-8-2          -10

____    =   ___   =     -5

3 - 1           2

Answer:

Step-by-step explanation:

Find the slope:

Use the point (1, 2) and find the equation:

Answer:

∠L = 43°

∠M = 121°

∠N = 16°

Step-by-step explanation:

Start by setting all sides equal to 180

3x - 5 + 7x + 9 + x = 180

Add like terms

11x + 4 = 180

Solve for x

11x + 4 = 180

      - 4     - 4

      11x = 176

     / 11     /11

        x = 16

Now, plug in 16 for all instances of x on the triangle and solve.

∠L = 43°

∠M = 121°

∠N = 16°

Answer:

[tex] \rm \displaystyle A_{ \text{triangle}} = \frac{147 \sqrt{7} }{2 } \quad \text{or} \quad 73.5 \sqrt{7} [/tex]

Step-by-step explanation:

we have a right angle triangle composited in a semi-circle we want to figure out the area of the triangle

in order to do so we need to figure out the adjacent side (height AB)

since the given triangle is a right angle triangle we can consider Pythagoras theorem given by

[tex] \displaystyle {a}^{2} + {b}^{2} = {c}^{2} [/tex]

given that,a=21 and c=28

substitute:

[tex] \displaystyle {21}^{2} + {b}^{2} = {28}^{2} [/tex]

move left hand side expression to right hand side and change its sign:

[tex] \displaystyle {b}^{2} = {28}^{2} - {21}^{2} [/tex]

square root both sides:

[tex] \displaystyle {b}^{} = \sqrt{{28}^{2} - {21}^{2} }[/tex]

use algebraic indentity:

[tex] \rm \displaystyle {b}^{} = \sqrt{({28}^{} + 21) (28 - {21}^{})}[/tex]

simplify:

[tex] \rm \displaystyle {b}^{} = \sqrt{({49}) ( 7)}[/tex]

use redical property:

[tex] \rm \displaystyle {b}^{} = 7 \sqrt{ 7}[/tex]

now to figure out the area we can consider the following formula:

[tex] \displaystyle A_{ \text{triangle}} = \frac{1}{2} bh[/tex]

remember that,h=AB=7√7 and b=BC=21 thus substitute:

[tex] \displaystyle A_{ \text{triangle}} = \frac{1}{2} \times 21 \times 7 \sqrt{7} [/tex]

simplify multiplication:

[tex] \rm \displaystyle A_{ \text{triangle}} = \frac{147 \sqrt{7} }{2 } \quad \text{or} \quad 73.5 \sqrt{7} [/tex]

hence,

the area of the triangle is 194 (approximately)

note: you can also use horon's formula but I like to keep things simple

Please find attached photograph for your answer.

Answer:

12/25

Step-by-step explanation:

If you got 26 tails, that means you got 50 - 26 or 24 heads. The experimental  probability can be represented by the desirable flips over the total number of flips. We are looking for heads, so the amount of heads is the amount of desirable flips, and the total is 50. From this, we get the fraction 24/50 which simplifies to 12/25.

Answer:

20 waves

Step-by-step explanation:

Out of 50 waves, Mark will catch 20 waves. To find this, first, you have to put it into a ratio.

8        x

---  =  -----

20      50

To solve this, you need to multiply 8 x 50, which is 400. Next you need to divide 400 by 20, which is 20 waves.

This means x = 20 waves.

Hope this helped!! :) If you have any questions, make sure to comment!!

45 percent (calculated percentage %) of what number equals 15.75? Answer: 35.

Answer:

35

Step-by-step explanation:

15.75 / 0.45 = 35

Answer:

Step-by-step explanation:

radius = diameter / 2 = 5/2 = 2.5 in

V = radius^2 x pI x height = 2.5^2 x pi x 8 = 157.1 in^3 (round to the nearest tenth)

cups = Volume of a can / Volume of a cup = 157.1 / 14.44 = 10.9 (round to the nearest tenth)

Answer:

90 degrees and 180 degrees

Step-by-step explanation:

90 degrees and 180 degrees

Answer:

A= 201.06

Step-by-step explanation:

A=πr^2

d=2r

Input the information into those formulas. Im honestly not sure if thats the right answer but its better than nothing.

=================================================

Explanation:

Your teacher wants you to find the slope

m = slope

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

m = (-1-2)/(3-9)

m = -3/(-6)

m = 1/2

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Extra info:

We can think of the slope as

slope = rise/run

and furthermore,

Essentially we subtract the corresponding y coordinates together, subtract the x together (in the same order as the y values), then divide the differences.