All categories

3 years ago

Find r if (r, 6) and (5, -4) are two points on a line with a slope of 5/7 (Hint: use the slope formula)

Mathematics

1 answer:

andreyandreev [35.5K]3 years ago

4 0

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have

$(r,\ 6),\ (5,\ -4)\\\\m=\dfrac{5}{7}$

Substitute

$\dfrac{-4-6}{5-r}=\dfrac{5}{7}\\\\\dfrac{-10}{5-r}=\dfrac{5}{7}\qquad|\text{cross multiply}\\\\5(5-r)=(-10)(7)\qquad|\text{use distributive property}\\\\25-5r=-70\qquad|-25\\\\-5r=-95\qquad|:(-5)\\\\\boxed{r=19}$

You might be interested in

A restaurant charges $5.00 for a slice of pizza that is 1/3 of a pizza and $4.50 for a slice that is 1/5 of a pizza. One day the

katrin [286]

Answer:

Step-by-step explanation:

Given that:

Price of whole pizza (A) = 5 × 3 = $15
Price of whole pizza (B) = 4.50 × 5 = $22.50

They make 8 whole pizzas.

Therefore

Thirds (A) = 15 × 8 = $120
Fifths (B) = 22.50 × 8 = $180

They'll make more money if they slice it into fifths.

180 - 120 = $60

Because if they slice it into thirds, total profit will be $60 less

____________________

#IndonesianPride - kexcvi

7 0

3 years ago

Find the x-intercept:

egoroff_w [7]

Answer:

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

42/40 into a mixed number is??

SSSSS [86.1K]

Hello there!

So, as we see that 42 is more than the denominator, so, we would have to see by how much it would be over.

40-42=2.

So, sense we have an whole number which would be (1)

Your answer: $\boxed{\boxed{\bf 1\frac{2}{40} }}$

6 0

4 years ago

if a car traveling at 100 m/s must slam on the brakes to avoid hitting a raccoon and it takes 4 seconds for the car to slow down

rusak2 [61]

1.)

Velocity is in m/s, and acceleration is in m/s^2 like you said. Because of this, we can calculate this by dividing the speed by the time it took to get to that speed.

(20 meters/second) / 10 seconds = 2 meters/ second^2

2.)

Same thing with the first one.

(100 meters/second) / 4 seconds = 25 meters / seconds^2

3 0

3 years ago

Justin loans his uncle $2,500. He charges 6.5% simple interest. His uncle pays him back in 2.5 years. How much interest does his

ExtremeBDS [4]

I think 600 I’m not sure tho

3 0

3 years ago

Read 2 more answers