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DochEvi [55]
3 years ago
7

Write the equation of a line that is perpendicular to y=-x-6 and that passes through the point (-9,-4).​

Mathematics
1 answer:
gavmur [86]3 years ago
5 0

Answer:

y = x + 5

Step-by-step explanation:

Perpendicular lines have opposite reciprocal slopes, so the line will have a slope of 1.

Then, plug in the slope and given point into y = mx + b to solve for b:

y = mx + b

-4 = 1(-9) + b

-4 = -9 + b

5 = b

Plug in the slope and b into y = mx + b:

y = 1x + 5

y = x + 5

So, the equation of the line is y = x + 5

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Solve n + 5(n - 1) = 7
Nina [5.8K]

Answer:

N = 2

Step-by-step explanation:

n + 5(n-1) = 7

n + 5n - 5 = 7

6n - 5 = 7

6n = 12

n = 2

HOPE THIS HELPS

PLZZ MARK BRAINLIEST!!!

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3 years ago
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Ike has a paper route. When he carries the Sunday paper his backpack is very heavy and Ike ends up with very sore shoulders.Ike
RideAnS [48]

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To solve this inequality, we should divide both sides of the equation by 1/3.

x < 60

Because this inequality means that x is less than or equal to 60, the answer is that Ike can carry 60 papers in his backpack.

Hope this helps!

8 0
3 years ago
A rectangle has a perimeter of 30 ft. Find a function that models its area A in terms of the length x of one of its sides. What
Vedmedyk [2.9K]

Answer:

Step-by-step explanation:

Let the other side of the rectangle be y. The perimeter of the rectangle is expressed as P = 2(x+y)

Given P = 30ft, on substituting P = 30 into the expression;

30 = 2(x+y)

x+y = 15

y = 15-x

Also since the area of the rectangle is xy;

A = xy

Substitute y = 15-x into the area;

A = x(15-x)

A = 15x-x²

The function that models its area A in terms of the length x of one of its sides is A = 15x-x²

The side of length x yields the greatest area when dA/dx = 0

dA/dx = 15-2x

15-2x = 0

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x = -15/-2

x = 7.5 ft

Hence the side length, x that yields the greatest area is 7.5ft.

Since y = 15-x

y = 15-7.5

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6 0
3 years ago
Which of the binomials below is a factor of this trinomial?
Leokris [45]

Answer:

x+5 is the factor..

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xsquare + (8+5)x + 40

or, xsquare +8x+5x+40

or, x(x+8)+5(x+8)

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4 0
4 years ago
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