Find an equation of the parabola with vertex (2, -1) and directrix y=-7.

Answer:

x² - 12x + 36

Step-by-step explanation:

Given

(x - 6)² = (x - 6)(x - 6)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x - 6) - 6(x - 6) ← distribute both parenthesis

= x² - 6x - 6x + 36 ← collect like terms

= x² - 12x + 36

Answer:

A) 55 + x ≤ 100

B) 55 + x ≤ 70

Step-by-step explanation:

A Explanation - Inequalities use signs < , > , ≤ , and ≥. We also know you have 100 seconds to beat the level, so you have to solve it in 100 or less, which tells us the 55 + the time left (x) must be less than or equal to 100. Solved will be attached.

B Explaination -

Like A, you can use the same setup, but switching a value. You already have the 55, you need 70. Or less points to ≤, same as before, so you can keep it the same, except with the 70 instead of the 100. Solved attached.

Answer:

75%

Step-by-step explanation:

63/84 = .75

.75= 75%

Answer:

k

Step-by-step explanation:

Answer:

Ummm... You didn't attach a picture lol.

Step-by-step explanation:

Have a great day! Good luck!

Answer:

Translation

Step-by-step explanation:

Translation is when something moves or slide. Orientation refers to the way it is facing or turned.

The required given statement is Reflections is transformations always preserve the orientation of a figure.

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.

Given:

The given statement is which transformations always preserve the orientation of a figure.

According to given question we have

Reflection is a type of transformation in which the given image is flipped across a line of reflection to create the transformed image. In this transformation, dimensions of the figure is always preserved.

In a translation, the preimage and image have the same orientation. In a rotation, the orientation of the preimage is changed. Both are rigid transformations.

Therefore, the required given statement is Reflections is transformations always preserve the orientation of a figure.

Learn more details about transformations here:

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Area of the figure

= (area of rectangle) + (area of triangle)

= (8 × 10) + (½ × 4 × 8)

= 80 + 16

= 96

Area = 96ft²

Quarts of paint needed

= 96/22

= 48/11

= 4.36

Mr. Chen will have to buy 5 quarts of paint.

Answer:

(x + 8) × 4 = 21 × 4

Explanation:

x + 8 = 21

21 - 8 = 13

(13 + 8) × 4 = 21 × 4

21 × 4 = 21 × 4

84 = 21 × 4

84 = 84

Answer:

[tex] a_2 =\frac{1}{2}\\\\

a_3 =2\\\\

a_2 =\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]a_1 = 2......(given)\\\\

a_n =\frac{1}{a_{n-1}}\\\\

Plug\: n = 2\\

a_2 =\frac{1}{a_{2-1}}=\frac{1}{a_1}=\frac{1}{2}\\\\

Plug\: n = 3\\

a_3 =\frac{1}{a_{3-1}}=\frac{1}{a_2}=\frac{1}{\frac{1}{2}}=2\\\\

Plug\: n = 4\\

a_4 =\frac{1}{a_{4-1}}=\frac{1}{a_3}=\frac{1}{2}\\\\[/tex]

Answer:b

Step-by-step explanation: you take the c of

The correct proportion that can be used to find x is 8 / 24 = 12 / x

The corresponding sides of the figures are taken into consideration.

The base of the smaller trapezium 12 ft correspond to the base of the bigger trapezium x ft. Therefore the ratio can be established as

The other leg of the smaller trapezium 8 ft correspond to the other leg of the bigger trapezium 24 ft. Therefore, the ratio can be establish as

The ratio must be equal to each other to prove the similarity . Therefore,

The correct proportion that can be used to find x is 12 / x = 8 / 24

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Answer:

1.5 cookies if 2/8 is like 2 cookies out of 8, 1/16 if its like 2/8 of a cookie

Step-by-step explanation: \

1.5: 2 x 3/4 (already ate 1/4) = 1.5

1/16= 1/4 (2/8 reduced)  x 1/4

Answer:

YZ is located at Y (0, 1) and Z (-2, 1) and is one-third the size of Y'Z'.

Step-by-step explanation:

Since Y'Z' was dilated from the origin at a scale factor of 3, you can divide its X and Y coordinates by 3 to find the coordinates of YZ.

The statement fourth "segment YZ is located at Y (0, 1) and Z (−2, 1) and is one-third the size of segment Y prime Z prime" is correct.

The transformation dilation is used to resize an item. Dilation is a technique for making items appear larger or smaller. The image created by this transformation is identical to the original shape.

The question is incomplete.

The complete question is:

Segment Y prime Z prime has endpoints located at Y'(0, 3) and Z'(−6, 3). segment YZ was dilated at a scale factor of 3 from the origin. Which statement describes the pre-image?

As we know, in the dilation image of the two-dimensional figure can be larger or smaller depending on the dilation factor.

We have:
segment Y prime Z prime has endpoints located at Y'(0, 3) and Z'(−6, 3).

After dilation:

Y (0, 1) and Z (−2, 1)

Thus, the statement fourth "segment YZ is located at Y (0, 1) and Z (−2, 1) and is one-third the size of segment Y prime Z prime" is correct.

Learn more about the dilation here:

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Answer:

6ft

Step-by-step explanation:

12/2 =6 which means its 6 ft, ur welcome

Answer:

6ft

Step-by-step explanation:

***If you found this answer please press the heart button and mark me brainliest, thanks!***

Answer:

D none of the above becuz x=4

Answer:

D

Step-by-step explanation:

Answer:

22 cm

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

beacuse if you multiply all

Answer:

C

Step-by-step explanation :

The side length is 30 and if it's 3cm for 5 that would be 18, and since we are doing area we need to multiple that 18 by itself since it's a square and squares side lengths are the same

Answer:

Step-by-step explanation:

(y - 3) = -2(x - 4)

y = -2x + 8 + 3

y = -2x + 11

pls give brainliest

Answer:

The the linear equation in point-slope form is

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

Step-by-step explanation:

Given

We know that the point-slope form of the line equation is

[tex]y-y_1=m\left(x-x_1\right)[/tex]

Here:

substituting the values m = -2 and the point (4, 3) in the point-slope form

[tex]y-y_1=m\left(x-x_1\right)[/tex]

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

Thus, the the linear equation in point-slope form is

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

Note: This equation could be further simplified to write it in the slope-intercept form

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept

so writing the equation in the slope-intercept form

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

[tex]y-3 = -2x+8[/tex]

[tex]y=-2x+8+3[/tex]

[tex]y=-2x+11[/tex]

Thus, the equation is the slope-intercept form is

Answer:

answer is 43

Step-by-step explanation:

Answer:

f(2.5)=3.5

Step-by-step explanation:

f(x)=2×2-3x+7

So,

f(2.5)=2×2-3×2.5+7

=4-7.5+7

=11-7.5

=3.5

Hope it will help you

Answer:

Step-by-step explanation:

2x - 5 = 15

Bringing like terms on one side

2x = 15 + 5

2x = 20

Option B is the correct answer

Answer:

b) 2x = 20

c) 2(x - 5) = 15

D) 2x - 20 = 0

Explanation

2x - 5 = 15

2x = 15 + 5

2x = 20

x= 20/2

x= 10

a) 2x = 10

x= 10/2

x= 5 (which is not correct)

b) 2x = 20

x= 20/2

x = 10 (which is correct )

c) 2(x- 5) = 15

2x - 10 = 15.

2x = 15 +10

2x = 20

x = 20/2

x= 10 ( which is correct)

d) 2x - 20 = 0

2x = 20

x= 20/2

x= 10 ( which is correct)

I need points lol ,, i hope you find your answer i guess .

Answer:

28

Step-by-step explanation:

Substitute x = - 2 into the expression, that is

(- 2)² - 7(- 2) + 10 = 4 + 14 + 10 = 28

Answer:

5

y

−

2.5

z

−

8

Step-by-step explanation:

−

6

z

−

5.5

+

3.5

z

+

5

y

−

2.5

Add  

−

6

z

and  

3.5

z

.

−

2.5

z

−

5.5

+

5

y

−

2.5

Answer:

− 25z+5y−8

Step-by-step explanation:

DIFFERENTIATE W.R.T. Z

−2.5

Step-by-step explanation:

Area of triangle=1/2×base×Height

105=1/2×15×h

210=15×h

h=14inches

Answer:

7 inches

Step-by-step explanation:

Answer:

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