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4 years ago

What is the equation of a line l that has an x-intercept of (5, 0) and is perpendicular to another line m that has a slope -5?

Mathematics

2 answers:

Alex777 [14]4 years ago

7 0

D. y = 1/5x - 1

Plug in 5 for x and 0 for y, and solve for b in the equation y=mx+b

Komok [63]4 years ago

6 0

Answer: D. y = 1/5 x - 1

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

c represents the y intercept

m represents the slope of the line

The slope of the given line m is - 5

If two lines are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the other line.

Therefore, the slope of the line, I passing through (5, 0) is 1/5

To determine the y intercept, we would substitute m = 1/5, x = 5 and y = 0 into y = mx + c. It becomes

0 = 1/5 × 5 + c

0 = 1 + c

c = 0 - 1

c = - 1

The equation becomes

y = x/5 - 1

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Answer:

Q1) (x+7)² = 9

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Q2) (x-8)² = 144

x = -4, 20

Q3) (x-1)² = 81

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Step-by-step explanation:

Q1) x² + 14x + 49 = 9

x² + 2(x)(7) + 7² = 9

(x + 7)² = 9

x + 7 = +/- sqrt(9)

x + 7 = 3

x = -4

x + 7 = -3

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Q2) x² - 16x + 64 = 144

x² - 2(x)(8) + 8² = 144

(x - 8)² = 144

x - 8 = +/- sqrt(144)

x - 8 = 12

x = 20

x - 8 = -12

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Q3) x² - 2x + 1 = 81

x² - 2(x)(1) + 1² = 81

(x - 1)² = 81

x - 1 =+/- sqrt(81)

x - 1 = 9

x = 10

x - 1 = -9

x = -8

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3(x+5) +2x=10x-5(x+1)

posledela

Answer:

no solution

Step-by-step explanation:

3(x+5) +2x=10x-5(x+1)

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Combine like terms

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