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Savatey [412]
3 years ago
12

What is the slope of a line that is perpendicular to the line y=-1/3x-6

Mathematics
1 answer:
natima [27]3 years ago
3 0

Answer:

3

Step-by-step explanation:

3 is the complete oposite of -1/3 in terms of slopes, therefore they are perpendicular to each other.

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PLEASE HELP! what's the answer for this?
Verizon [17]
A cube with side length 1 unit is called a unit cube
7 0
3 years ago
A rectangle has an area of 20 square feet a similar rectangle has an area of 180 square feet what is ratio of the areas of these
Evgen [1.6K]

Answer:

The ratio of the areas of the smaller rectangle to the larger rectangle is  \frac{1}{9}

Step-by-step explanation:

we know that

if two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z-----> the scale factor

x-----> the area of the smaller rectangle

y----> the area of the larger rectangle

so

z^{2}=\frac{x}{y}

substitute the values

z^{2}=\frac{20}{180}

simplify

z^{2}=\frac{1}{9}

That means, the area of the larger rectangle is 9 times the area of the smaller rectangle

z=\frac{1}{3} ------> the scale factor

That means, the dimensions of the larger rectangle is 3 times the dimensions of the smaller rectangle

7 0
3 years ago
Rename 5/6 and 5/8 using the least common denominator.
Marina CMI [18]

Answer:

5/6 = 20/24

5/8 = 15/24

Step-by-step explanation:

These are the answers because:

1) First, the least common denominator is 24 because 8 x 3 is 24 and 6 x 4 is 24

2) Next, multiply the numerators with the same number you multiplied with the denominator

5 x 3 = 15

5 x 4 = 20

3) Therefore, the answers are:

5/6 = 20/24

5/8 = 15/24

Hope this helps!

6 0
3 years ago
Will give brainliest! 20 Points!<br> Hi! Some help with these problems would be great thank you!
erica [24]

Answer:

<u>Question 1:</u>

Draw a line that crosses the largest number of dots. Then use the line to check the best prediction of the number of baseballs that will be used if 275 pitches are thrown.

<u>Question 2:</u>

A). y = 1.2x - 6

<u>Question 3:</u>

J). y = \frac{9}{4}x - 81

<u>Question 4:</u>

F). f(n) = -3n + 24 *<em>Although it doesn't work when f(n) = 6 and n = 6*</em>

<u />

Step-by-step explanation:

<u>Question 2:</u>

The line passes throught point (5, 0) and is parallel to the line whose equation is y = 1.2x + 3.8

For parallel lines, their values of slope is the same.

So our line, that passes through point (5, 0), also has a slope of 1.2

Taking another point (x, y) on our line;

Slope = change in y ÷ change in x

1.2 = \frac{y - 0}{x - 5}

y = 1.2x - 1.2(5)

y = 1.2x - 6

<u>Question 3:</u>

The line passes x-axis at point (36, 0)

The line is perpendicular to another line whose equation is y = -\frac{4}{9}x + 5

For perpendicular lines, the product of their slopes = -1

Let's say the slope of our unknown line is a ;

Given: The slope of our second line is -4/9

So,

a × -4/9 = -1

a = -1 × -9/4 = 9/4

Taking another point (x, y) on our unknown line;

Slope = change in y ÷ change in x

9/4 = \frac{y - 0}{x - 36}

Cross-multiplying that you get;

y = \frac{9}{4}x - 81

<u>Question 4:</u>

The function that model that situation is f(n) = -3n + 24 though it doesn't work when f(n) = 6 and n = 6

3 0
3 years ago
Read 2 more answers
Stuart pays back two student loans over a 4-yr period. One loan charges the equivalent of 3% simple interest and the other charg
Ugo [173]

Answer:

The first loan L1 = $20,000

This is the loan with 3% simple interest

The second loan L2 = $4,000

This is the loan with 5.5% simple interest

Step-by-step explanation:

L1 + L2 = $24,000 ...(1)

4(3% of L1) + 4(5.5% of L2) = $3,280 ...(2)

Where the first term in equation (2) represents the total interest paid on loan 1 after 4 years

The second term represents total interest accruing to loan 2 after 4 years

From equation (1), we single out L1

L1 = 24,000 - L2

Substitute this value for L1 in equation (2)

288,000 + 10L2 = 328,000

L2 = $4,000

L1 = $24,000 - $4,000 = $20,000

5 0
3 years ago
Read 2 more answers
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