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Komok [63]
3 years ago
11

A graph of two functions is shown below:

Mathematics
1 answer:
kirill [66]3 years ago
8 0

Answer:

x = -1

Step-by-step explanation:

because both lines intersects at -1.

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3 years ago
Find the equation of the line parallel to y=x-3 that also intersects the points (3,-2)
Reika [66]

Answer:

y = x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = x - 3 ← is in slope- intercept form

with slope m = 1

• Parallel lines have equal slopes, hence

y = x + c ← is the partial equation of the parallel line.

To find c substitute (3, - 2) into the partial equation

- 2 = 3 + c ⇒ c = - 2 - 3 = - 5

y = x - 5 ← equation of parallel line

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3 years ago
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5 0
3 years ago
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I need help please it’s really hard and I don’t understand it
mr_godi [17]

The line segment HI has length 3<em>x</em> - 5, and IJ has length <em>x</em> - 1.

We're told that HJ has length 7<em>x</em> - 27.

The segment HJ is made up by connecting the segments HI and IJ, so the length of HJ is equal to the sum of the lengths of HI and IJ.

This means we have

7<em>x</em> - 27 = (3<em>x</em> - 5) + (<em>x</em> - 1)

Solve for <em>x</em> :

7<em>x</em> - 27 = (3<em>x</em> + <em>x</em>) + (-5 - 1)

7<em>x</em> - 27 = 4<em>x</em> - 6

7<em>x</em> - 4<em>x</em> = 27 - 6

3<em>x</em> = 21

<em>x</em> = 21/3

<em>x</em> = 7

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3 years ago
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