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Sindrei [870]
3 years ago
7

What are the coordinates of point D?

Mathematics
2 answers:
zaharov [31]3 years ago
8 0
This will be C I would explain but I can’t right now I have got to go!
ZanzabumX [31]3 years ago
5 0

Answer:

C

Step-by-step explanation:

From the graph, you see that the point D

is ( x=4, y=-1.5 )

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Which number line shows the solution set for |y-9| <12
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Answer:

Option c

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Step-by-step explanation:

The absolute value is a function that transforms any value x into a positive number.

Therefore, for the function f(x) = |x|  x> 0 for all real numbers.

Then the inequation:

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We solve the case (i)

y \leq 9 + 12\\y\leq21

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-y +9 \leq 12\\-y \leq 12-9\\y \geq -3

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Read 2 more answers
Write an equation in slope-intercept form for the line that is parallel to y=−4x−3 and that passes through the point (−2,4).
kirill115 [55]

Answer:

The Correct option is Last one y=-4x-4

Therefore, equation of the line in slope-intercept that passes through (-2,4) and is parallel to the line y=-4x-3 is y=-4x-4

Step-by-step explanation:

Given:

y=-4x-3

To Find:

Equation of line passing through ( -2, 4) and is parallel to the line y=-4x-3

Solution:

y=-4x-3 ..........Given

Comparing with Slope-Intercept form,  

y=mx+c

Where m =slope  

We get

Slope = m = -4

We know that parallel lines have Equal slopes.

Therefore the slope of the required line passing through (-2 , 4) will also have the slope = m = -4.

Now the equation of line in slope point form given by

(y-y_{1})=m(x-x_{1})

Substituting the points and so we will get the required equation of the line,

(y-4))=-4(x-(-2))=-4x-8\\\\y=-4x-8+4=-4x-4\\\\y=-4x-4......Equation\ of\ line

Therefore, equation of the line in slope-intercept that passes through (-2,4) and is parallel to the line y=-4x-3 is y=-4x-4

8 0
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