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andre [41]
3 years ago
15

Which line has a slope of zero and goes through (5, -8)

Mathematics
1 answer:
goblinko [34]3 years ago
4 0

Answer:

y=-8

Step-by-step explanation:

From the information given, we know that the slope of the line is 0. Let's make an equation in y=mx+b form with what we know.

y=0x+b

We also have a point on the line, (5, -8). We can plug these two numbers for x and y to find b and complete the equation. -8 goes in as y and 5 goes in as x.

-8=0(5)+b

Now just solve for b.

-8=0+b

b=-8

We now know that b is -8 and can complete the equation.

y=0x-8

y=-8

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3x+4y=22

sub 6x+4 for y

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minus 16 both sides
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5.2x + 24.4

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If JK = 9, KI = 12, JI = 11, NL = 30, and ML = 27.5, find the perimeter of LMN. Round your answer to the nearest tenth if necess
saveliy_v [14]

Answer:

Perimeter of ΔLMN = 80 units

Step-by-step explanation:

From the figure attached,

m∠K = m∠N = 58°

m∠J = m∠M = 76°

m∠I = m∠L = 46°

Therefore, ΔKJI and ΔNML are the similar triangles.

By the property of similar triangles,

"Corresponding sides of two similar triangles are proportional"

\frac{JK}{NM}= \frac{JI}{ML}= \frac{KI}{NL}

\frac{9}{NM}= \frac{11}{27.5}= \frac{12}{30}

\frac{9}{NM}= \frac{12}{30}

NM = \frac{9\times 30}{12}

NM = 22.5

Perimeter of the triangle LMN = ML + NM + NL

                                                  =  27.5 + 22.5 + 30

                                                  = 80 units

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3 years ago
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