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3 years ago

Use slope formula to find the missing coordinate. (r, 1) and (5, -7) Slope = 8/3

Mathematics

1 answer:

Lena [83]3 years ago

3 0

Answer:

r=8

Step-by-step explanation:

The formula for slope is

m = (y2-y1)/ (x2-x1)

Substitute in what we know.

8/3 = (-7-1)/(5-r)

Simplify

8/3 = -8/(5-r)

We can use cross products to help us solve.

8 * (5-r) = 3 * (-8)

divide each side by 8

8/8 * (5-r) = 3 * (-8)/8

5-r = -3

Subtract 5 from each side

5-r-5 = -3-5

-r = -8

Multiply by -1

r = 8

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Find the distance between the points 10,2 and 5,-10

melomori [17]

The distance between the points is 13

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2 years ago

Drinking 8 fluid ounces of milk provides 270.0 milligrams of calcium. How many fluid ounces of milk provide 72.5 milligrams of c

Margarita [4]

Set up a proportion:

$\frac{8}{270} = \frac{x}{72.5}$

The numerator represents fluid ounces of milk, and the denominator represents milligrams of calcium.

Simplify the first fraction to make multiplication easier:

$\frac{8}{270} \div \frac{2}{2} = \frac{4}{135}$
$\frac{4}{135} = \frac{x}{72.5}$

Cross multiply the fractions:

$72.5 * 4 = 290$
$135x = 290$

Divide both sides by 135 to get x by itself:

$290 \div 135 = 2.1$
$x = 2.1$

2.1 fluid ounces of milk provide 72.5 milligrams of calcium.

3 0

3 years ago

Read 2 more answers

A rectangular garden has a perimeter of 36 yards and a width of 8 yards.

xeze [42]

Answer:

80 square yards

Step-by-step explanation:

We know we have a width of 8 yards and a perimeter of 36.

how I figured it out was:

36=(8*2) * (x*2)

8*2=16

36-16=10

So now we know the length and width.

area of a rectangle is lw (length * width)

10*8=80.

8 0

3 years ago

Suppose g (x) is increasing and concave up everywhere and g(A)=7, gprime(A)=13, h=.01

rewona [7]

First we need a point (x,y) : (A, 7)
Now slope (from f'(A)) = 15 
Next, the equation (using point slope formula) 

y - 7 = 15 (x -A) 
y = 15 (x - A) + 7 

Now in the x spot we put 'A-.01' 
y = 15 ( A - .01 - A) +7= 15(-.01) +7 = -.15+ 7 = 6.85
hope this helps

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3 years ago

your school is planning to bring 193 students to watch the competition cheerleaders perform in hershey. there are eight drivers

Vinil7 [7]

Answer:

7 buses

Step-by-step explanation:

51 divided by 8 = 6 and you still have 3 students letf so you have to use one more bus

5 0

3 years ago