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3 years ago

What is the slope of the line that passes through the points (-4, -9) and (5, 3)

Mathematics

1 answer:

egoroff_w [7]3 years ago

5 0

Answer:

4/3

Step-by-step explanation:

Moving from (-4, -9) to (5, 3), x (the 'run') increases by 9 from -4 to 5, and y (the 'rise') increases by 12 from -9 to +3. Thus, the slope of the line connecting the two points is

m = rise / run = 12/9 = 4/3

It may help to think of the change in x (9) as the horizontal leg of a right triangle and the change in y (12) as the vertical leg. Then

m = (vertical leg length) / (horizontal leg length) = 12/9 = 4/3

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Write a ratio, in the simplest form and a percent for the shaded area (there's a 5x4 box and 6 cubes are shaded)

Alexxandr [17]

Answer:

$\%Percent = 30 \%$

Step-by-step explanation:

Given

$Shaded = 6\ cubes$

$Box = 5\ x\ 4$

Required

Determine the percentage of the shaded cubes

First, we calculate the number of boxes:

$Box = 5\ x\ 4$

Express as multiplication

$Box = 5\ *\ 4$

$Box = 20$

This implies that there are 20 cubes in the box.

The percentage of the shaded cubes is:

$\%Percent = \frac{Shaded}{Box} * 100\%$

$\%Percent = \frac{6}{20} * 100\%$

$\%Percent = \frac{6* 100}{20} \%$

$\%Percent = \frac{600}{20} \%$

$\%Percent = 30 \%$

30% were shaded

5 0

2 years ago

Original price of a suit: $250.00 Discount: 25% Tax: 8% How much will you pay?

ozzi

Answer:

207,50

Step-by-step explanation:

1% = 2,5

2,5x25 = 62,5 250 - 62,5 = 187,5

2,5x8 = 20

187,5+20= 207,50

8 0

3 years ago

Charlotte purchased a pool for $7680 using a six-month deferred payment plan with an interest rate of 20.45%. She did not make a

Georgia [21]

$7680:100%=$x:120.45%, 100x=7680*120.45, x=(7680*120.45)/100, x=$9250.56
Cost of the pool with interest rate is $9250.56.
3yr*12mo=36mo
$9250.56/36mo=256.96$/mo

 Charlotte's monthly payment will be $256.96.

6 0

3 years ago

Complete the table. Feet Inches 1 10 60 42

pogonyaev

456 y que fue el más rápido del trabajo y de

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3 years ago

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Semenov [28]

Answer:

Step-by-step explanation:

Given the equation model 4x+(-4) = -2x+8