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3 years ago

What is the slope of the line below? If necessary, enter your answer as a

Mathematics

2 answers:

Elanso [62]3 years ago

8 0

Answer:

Step-by-step explanation:

(-4 - 6)/(1 - 6) = -10/-5 = 2

olga55 [171]3 years ago

6 0

Step-by-step explanation:

To find the slope/gradient use this formula

$\frac{y2 - y1}{x2 - x1}$

(1, -4) = (x1, y1)

(6, 6) = (x2, y2)

So,

$= \frac{6 - ( - 4)}{6 - 1} \\ = \frac{10}{5}$

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Determine the volume of the rectangular prism please.

Juliette [100K]

Answer:

192cm^3

Step-by-step explanation:

V=Bh

B= 1/2bh

B= 16

h=12

V= Bh= 16 x 12= 192

just an FYI- this is a triangular prism

6 0

3 years ago

Courtney must earn at least $150 to pay for broken window. She earns $10 for every car she washes.

valkas [14]

Answer:

10c ≥ 150

At least 15 cars (or c ≥ 15)

Step-by-step explanation:

If she gets $10 for every car she washes a car then 10c is the rate of her gaining money and she needs at least (greater than or equal to) $150.

This equation can be used to express the situation:

10c ≥ 150

To solve you divide the 10 from both sides of the inequality to get.

c ≥ 15

5 0

2 years ago

A farmers land is separated into sections of size 3 5/6 acres. Suppose there are 9 such sections. How many acres of land does th

Schach [20]

Answer: Don't know sorry

Step-by-step explanation:

5 0

2 years ago

What is the value of x?

Kazeer [188]

Answer:

Step-by-step explanation:

The volume of a sphere is

$V=\frac{4}{3}\pi r^3$

We are told our volume is 500pi/3, so we fill that in and solve for r:

$\frac{500\pi}{3}=\frac{4}{3}\pi r^3$

Start by multiplying both sides by 3 over 4 pi:

$(\frac{3}{4\pi})\frac{500\pi}{3}=(\frac{3}{4\pi})\frac{4\pi}{3}r^3$

Simplifying gives us

$125=r^3$

Take the cubed root of both sides to get that

r = 5

6 0

3 years ago

Find the vertex of this parabola. y = -2x2 + 4x + 12

STatiana [176]

For this case we have the following equation:
$y = -2x ^ 2 + 4x + 12
$
Deriving we have:
$y = -2x ^ 2 + 4x + 12

y '= -4x + 4$
We match zero:
$-4x + 4 = 0
$
We clear the value of x:
$4x = 4

x = 4/4

x = 1$
Then, we substitute the value of x in the equation of the parabola:
$y = -2 (1) ^ 2 + 4 (1) + 12

y = -2 + 4 + 12

y = 14$
Thus, the vertex of the parabola is the ordered pair:
$(x, y) = (1, 14)$
Answer:
The vertice is:
$(x, y) = (1, 14)$

3 0

3 years ago