The equation of line k is y=-1/5x -1/8. What is the equation of the line that is perpendicular to line k and passes through (0,0)?

Answers

Answer 1

Answer: y=-1/5 x-1/8
Gradient, m= -1/5
A line perpendicular will be;
m=15
y=mx+c
Replacing for x and y;
0=5(0)+c
c=0
y=5x

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What is an equation of the line that is perpendicular to y + 1 = -3(x - 5) and passes through the point (4, -6)?

Answers

Answer:

Option A.

Step-by-step explanation:

y + 1 = -3x + 15

y = -3x + 14

A line perpendicular would have a slope of 1/3.

y = 1/3x + c

-6 = 1/3 * 4 + c

4/3 + c = -6

c = -18/3 - 4/3

c = -22/3

So, we have y = 1/3x - 22/3.

y + 6 = 1/3(x - 4)

y + 6 = 1/3x - 4/3

y = 1/3x - 4/3 - 18/3

y = 1/3x - 22/3

So, the correct answer is Option A.

Hope this helps!

∠A and ∠B are complementary angles of right triangle ABC, cos A = 0.83, and cos B = 0.55. What is sin A + sin B?A) 0.28

B) 1

C) 0.38

D) 1.38

Answers

The answer is D)1.38

Answer:

1.38

Step-by-step explanation:

What is the slope of a line perpendicular to the line whose equation is
2x + 4y = –64

Answers

Answer:

2/3

Step-by-step explanation:

im so sorry i litreally suck at explaining things but that is thr answer i got

PLease help me with this i am having soo much truble with itA family is having a pool built in their backyard. If their yard is rectangular and measures 7x by 6x and the pool is circular with a radius of 2x how much of the yard will be left over after the pool is built?
a. 38x2
b. 42x2 – 4x2
c. 42x2 – 2x2
d. 38x2

Answers

Area of a rectangular yard:
A 1 = L x W = 7 x * 6 x = 42 x²
Area of a pool :
A 2 = r² π = ( 2 x )² π = 4 x² π
A = A 1 - A 2 = 42 x² - 4 x² π
The answer must be in terms of π:
B ) 42 x² - 4 x² π

Help me please:)....

Answers

Answer:

In the pic

Step-by-step explanation:

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Find the slope and the y intercept of the linear equation y=1/8x +3

Answers

Format: y = mx + b
m = slope, b = y intercept
Slope: 1/8, y intercept: 3

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A colony contains 1500 bacteria. The population increases at a rate of 115% each hour. If x represents the number of hours elapsed, which function represents the scenario?A f(x) = 1500(1.15)x B f(x) = 1500(115)xC f(x) = 1500(2.15)xD f(x) = 1500(215)x

35.4% expressed as a decimal becomesA.35.54B. 0.354C. 35.0D.354

What´s the answer to this expression 6/2(2+1)