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3 years ago

A line that contains the point (-8,-1) and is perpendicular to -15x +3y = 9

1 answer:

7 0

Put the other line in point slope form...(solve for y :D )

3y=15x+9

y=5x+3, so this line has a slope of 5

For a line to be perpendicular to another the slopes have to be negative reciprocals of each other...mathematically...

s1*s2=-1

So for the other line to be perpendicular to the first:

5m=-1, m=-1/5, thus our other line (so far) is:

y=b-x/5, now we can use the point (-8,-1) to solve for the y-intercept, "b":

-1=b-(-8)/5

-1=b+8/5

-1=b+1.6

b=-2.6

So the perpendicular line that contains the point (-8,-1) is:

y=-0.2x-2.6

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3 years ago

If you need 8 oz of chocolate chips to make 1.6 lb of cookie dough how many ounces of chocolate chips will you need to make 7 lb

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Answer:

3.5 Oz of chocolate

Step-by-step explanation:

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4 years ago

five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26. what is the solution

Marrrta [24]

5(x + 27) >= 6(x + 26)

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Answer: Choice B.

4 0

3 years ago

Read 2 more answers

A number of fiction books at a library was 3/4 of the total number of books. After 592 fiction books were donated to the library

Zielflug [23.3K]

There approximately 7133 books in the library;

Data;

Let the number of total books = x
Number of fictional books = 3/4x

<h3>Word Problem</h3>

To solve this problem, we simply need to use an equation to explain the word problem into mathematical statements.

Let the total number of books be represented by x

The number of fictional books = 3/4x

After 592 fictional books were donated;

$\frac{3x}{4} + 592 = \frac{5}{6}x$

Let collect like terms and solve

$\frac{3x}{4} +592 = \frac{5}{6} x\\\frac{5}{6}x - \frac{3x}{4} = 592\\ 0.083x=592\\x = 592/0.083\\x = 7132.53$

There approximately 7133 books in the library;

Learn more on word problems here;

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4 0

2 years ago

Challenge Yossi used to have a square garage with 246 ft of floor space. recently built an addition to it. The garage is still a

irina [24]

Considering the perimeter of a square, it is found that:

The length of one side of the garage originally was of 61.5 ft.

The length of one side of the garage now is of 92.25 ft.

The percent increase in the length of one side was of 50%.

<h3>What is the perimeter of a square?</h3>

The perimeter of a square of side length s is given by four times the length, that is:

P = 4s.

Before the change, the perimeter was of 246 ft, hence:

4s = 246

s = 246/4

s = 61.5.

The length of one side of the garage originally was of 61.5 ft.

After that, the perimeter increased by 50%, hence:

P = 246 x 1.5 = 369.

4s = 369

s = 369/4

s = 92.25.

The length of one side of the garage now is of 92.25 ft.

The percent increase is the increase divided by the initial value, hence:

(92.25 - 61.5)/61.5 = 50%.

The percent increase in the length of one side was of 50%.

More can be learned about the perimeter of a square at brainly.com/question/10489198
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4 0

2 years ago