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alekssr [168]
2 years ago
9

Which of the following functions is graphed below?

Mathematics
1 answer:
aleksklad [387]2 years ago
6 0

Answer:

A.

Step-by-step explanation:

the correct answer is A. y=|x-2|+3.

For more details see the attachment.

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A line passes through the point -10,9 and has a slope of 1/2. Write an equation in slope-intercept form for this line
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Answer:

Step-by-step explanation:

The slope intercept form of an equation of a line is y = mx + b, where m is the slope and b is the y-intercept (the value of y when x=0).

Since the slope is (1/2), we can write:

y = (1/2)x + b

We want a value of b such that it forces the line to go through point (-10,9).  Enter that point in the equation and solve for b:

y = (1/2)x + b

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The eqyuation of a line with a slope of (1/2) and goes through point (-10,9) is:

y = (1/2)x + 14

See attachment.

7 0
2 years ago
The perimeter of a rectangle is
kondor19780726 [428]
<h3 /><h3>verified \: answer  \sqrt}</h3>

Equation for Perimeter of a rectangle: Perimeter = 2W + 2L

<h3>Defining the variables, let</h3>

<h3>Width = x</h3><h3>Length = 2x+3 (3 more than twice the width)</h3>

<h3>Plugging everything into the equation</h3>

<h3>30= 2(x) + 2(2x+3) using the distributive property,</h3>

<h3>30=2x+4x+6 combining like terms</h3>

<h3>30=6x+6 subtracting 6 from both sides,</h3>

<h3>24=6x divide both sides by 6</h3>

<h3>4=x This means that the width is 4 m.</h3>

<h3>To get the length, use the expression L=2x+3 and plug in x = 4 that was already solved for</h3>

<h3>L=2(4)+3</h3>

<h3>L=8+3 = 11 m</h3>

<h3>So the dimensions of the rectangle are width is 4 m and length is 11 m.</h3>

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Step-by-step explanation:

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