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Nady [450]
3 years ago
7

Find the coordinates of the image of G(−3,9) after the translation (x,y)→(x+10,y−7) .

Mathematics
1 answer:
nataly862011 [7]3 years ago
5 0

Answer:

D. (7,2)

Step-by-step explanation:

-3 +10 is 7

9-7 is 2.

kinda just put them together, you get (7, 2)

I hope this helps!

pls ❤ and mark brainliest pls!

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3 years ago
Line v passes through point [6.6] and is perpendicular to the graph of y= 3/4x - 11 line w is parallel to line v and passes thro
lbvjy [14]

Given:

The equation of a line is

y=\dfrac{3}{4}x-11

Line v passes through point (6,6) and it is perpendicular to the given line.

Line w passes through point (-6,10) and it is parallel to the line v.

To find:

The equation in slope intercept form of line w.

Solution:

Slope intercept form of a line is

y=mx+b         ...(i)

where, m is slope and b is y-intercept.

We have,

y=\dfrac{3}{4}x-11      ...(ii)

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

m=\dfrac{3}{4}

So, slope of given line is \dfrac{3}{4}.

Product of slopes of two perpendicular lines is -1.

m_1\times m_2=-1

\dfrac{3}{4}\times m_2=-1

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Line w is perpendicular to the given line. So, the slope of line w is -\dfrac{4}{3}.

Slopes of parallel line are equal.

Line v is parallel to line w. So, slope of line v is also -\dfrac{4}{3}.

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y-y_1=m(x-x_1)

where, m is slope.

y-10=-\dfrac{4}{3}(x-(-6))

y-10=-\dfrac{4}{3}(x+6)

y-10=-\dfrac{4}{3}x-\dfrac{4}{3}(6)

y-10=-\dfrac{4}{3}x-8

Adding 10 on both sides, we get

y=-\dfrac{4}{3}x-8+10

y=-\dfrac{4}{3}x+2

Therefore the equation of line v is y=-\dfrac{4}{3}x+2.

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3 years ago
What is the domain and range of the following function
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Step-by-step explanation:

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Answer:

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( x - h )² = 4 p ( y - k )

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Or, x² = - 12 y   is the equation of parabola

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