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Mekhanik [1.2K]
2 years ago
7

Which input value produces the same output value for the two functions

Mathematics
1 answer:
slava [35]2 years ago
7 0
X= -6

Please mark brainliest
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Polygon ABCD is dilated, rotated, and translated to form polygon A′B′C′D′. The endpoints of AB are at (0, -7) and (8, 8), and th
Anton [14]

Rotation and translation are rigid transformations, they don't change figure sizes. Dilation change figure sizes increasing or decreasing them by scale factor.

First, find AB and A'B' by the formula:

AB=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}= \sqrt{(8-0)^2+(8-(-7))^2}=\sqrt{8^2+15^2}=\sqrt{64+225}=\sqrt{289}=17,\\ \\A'B'=\sqrt{(x_{B'}-x_{A'})^2+(y_{B'}-y_{A'})^2}= \sqrt{(2-6)^2+(1.5-(-6))^2}=\sqrt{4^2+7.5^2}=\sqrt{16+56.25}=\sqrt{72.25}=8.5.

As you can see AB=2A'B'. This means that the segment AB was decreased twice to form segment A'B'. Then the scale factor is 1/2.

8 0
3 years ago
Does anyone know the answers to these blank questions?
Bas_tet [7]

Answer:

h = 21

n = 60

p = 7

4 0
2 years ago
A baseball has a 45 cm diameter. what is the volume of the contents of the ball
Morgarella [4.7K]
First you need to find the radius. To do that you need to divide the diameter by two;

45 / 2 = 22.5

Then you plug the radius in the formula for a sphere. Which is...

V = (4 / 3)πr^3
First you need to find the volume with out pi

V = (4/3) π (45)^3
V= π (4/3) (91,125)
Your answer with out pi is...
V= (68,343.75) π cm^3
And with pi is...
V = 214,708.22 cm^3
5 0
3 years ago
Read 2 more answers
DFGI is a trapezoid with midsegment EH. What is DI?
natka813 [3]

Answer:

a. 8 cm

Step-by-step explanation:

Given:

EH = 6 cm

FG = 4.00 cm

Based on the mid-segment theorem of a trapezoid, we have:

EH = ½(FG + DI)

Plug in the values

6 = ½(4 + DI)

Multiply both sides by 2

6*2 = 4 + DI

12 = 4 + DI

12 - 4 = 4 + DI - 4

8 = DI

DI = 8 cm

7 0
3 years ago
Are -(x-4) and -x+4 equivalent?
zavuch27 [327]

Answer:

no

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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