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Nastasia [14]
3 years ago
9

PLEASE HELP!!!

Mathematics
2 answers:
Luda [366]3 years ago
7 0

Answer:

x=12, y=17. (12, 17).

Step-by-step explanation:

y=x+5

y=2x-7

-----------

x+5=2x-7

5=2x-x-7

5=x-7

x=5+7

x=12

y=12+5=17

Blababa [14]3 years ago
6 0

Answer:

x = 12, y = 17

Step-by-step explanation:

x+5 = 2x-7

x = 12

y = x+5 = 17

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Given:

The parent function is

f(x)=x^2

Consider the transformed function is g(x) instead of f(x) because both functions are different.

g(x)=-5(x-4)^2-8

Step-by-step explanation:

We have,

f(x)=x^2

g(x)=-5(x-4)^2-8

It can be written as

g(x)=-5f(x-4)-8            ...(i)

The translation is defined as

g(x)=kf(x+a)+b                .... (ii)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<|k|<1, then the graph compressed vertically by factor k and if |k|>1, then the graph stretch vertically by factor k.

If k is negative, then f(x) is reflected across the x-axis to get g(x).

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (i) and (ii), we get

a=-4, f(x) shifts 4 units right.

b=-8, f(x) shifts 8 units down.

k=-5, it is negative so f(x) reflected across the x-axis.

|k|=|-5|=5>1, so f(x) stretched vertically by factor 5.

Therefore, the function f(x) reflected across the x-axis, stretched vertically by factor 5 and shifted 4 units right 8 units down to get g(x).

8 0
3 years ago
The sector of a circle with a 60 millimeters radius has a central angle measure of 30° . What is the exact area of the sector in
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Answer:

Step--by--step explanation:

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2 years ago
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lyudmila [28]
Hello!

(4y + 8) - (7y - 12) = 11     is     1(4y + 8) - 1(7y - 12) = 11

1(4y + 8) - 1(7y - 12) = 11               Given
        4y + 8 - 7y + 12 = 11              Distribute the 1 and the -1
                    -3y + 20 = 11             Combine like terms
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