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2 years ago

What is the slope of the line between (−4, 4) and (−1, −2)? a. 1 b. 2 c.−2 d. −1

2 answers:

7 0

M= $\frac{ Y_{2}- Y_{1} }{X_{2}-X_{1}}$

m= (-2 - 4) / (-1 - -4)
m= -6 / (-1 + 4)
m= -6 / 3
m= -2

the slope is -2 (C.)

dlinn [17]2 years ago

4 0

Answer: C. -2

Step-by-step explanation:

The slope of a line passing through (a,b) and (c,d) is given by :-

$\text{Slope}=\dfrac{d-b}{c-a}$

The given points : (-4, 4) and (-1, -2)

Then, the slope of the line passing through(-4, 4) and (-1, -2) is given by :-

$\text{Slope}=\dfrac{-2-4}{-1-(-4)}=\dfrac{-6}{-1+4}\\\\=\dfrac{-6}{3}=-2$

Hence, the slope of a line with endpoints (-4, 4) and (-1, -2) =-2.

You might be interested in

If x) = 4x^2 + 1 and g(x) = x^2 - 5, find (f + g)(x).

Vedmedyk [2.9K]

Answer:

C. 5x² - 4

General Formulas and Concepts:

Algebra I

Composite Functions
Combining Like Terms

Step-by-step explanation:

Step 1: Define

f(x) = 4x² + 1

g(x) = x² - 5

(f + g)(x) is f(x) + g(x)

Step 2: Find (f + g)(x)

Substitute: (f + g)(x) = 4x² + 1 + x² - 5
Combine like terms: (f + g)(x) = 5x² - 4

8 0

2 years ago

A silo is not the shape of a cone. The silo is 8 meters tall and it's base has a diameter of 3 meters. Soybeans cost $414 per cu

Gnom [1K]

Answer:

$7803.72

Step-by-step explanation:

We have been given that a silo is in the shape of a cone. The silo is 8 meters tall and it's base has a diameter of 3 meters. Soybeans cost $414 per cubic meter. We are asked to find the total cost to fill the silo with soybeans.

First of all, we will find the volume of silo using volume of cone formula.

$\text{Volume of cone}=\frac{1}{3}\pi r^2 h$ , where,

r = radius

h = Height

We know that radius is half the diameter, so radius of silo would be $r=\frac{3}{2}=1.5$ .

$\text{Volume of cone}=\frac{1}{3}\pi (1.5\text{ m})^2 (8)\text{ m}$

$\text{Volume of cone}=\frac{1}{3}\pi\times 2.25\text{ m}^2 (8)\text{ m}$

$\text{Volume of cone}=\pi\times 0.75\text{ m}^2 (8)\text{ m}$

$\text{Volume of cone}=\pi\times 6\text{ m}^3$

$\text{Volume of cone}=18.8495559\text{ m}^3$

Now we will multiply total volume by $414 to find total cost.\

$\text{Total cost of soybeans}=\$414 \times 18.8495559$

$\text{Total cost of soybeans}=\$7803.7161426$

$\text{Total cost of soybeans}\approx \$7803.72$

Therefore, it will cost $7803.72 to fill the silo with soybeans.

5 0

2 years ago

What are the possible values of x if (4x - 5)2 = 49? Check all that apply. uw we we

kogti [31]

Answer:

x = - $\frac{1}{2}$ , x = 3

Step-by-step explanation:

Given

(4x - 5)² = 49 ( take the square root of both sides )

4x - 5 = ± $\sqrt{49}$ = ± 7 ( add 5 to both sides )

4x = 5 ± 7, thus

4x = 5 - 7 = - 2 ( divide both sides by 4 )

x = $\frac{-2}{4}$ = - $\frac{1}{2}$

4x = 5 + 7 = 12 ( divide both sides by 4 )

x = 3

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.

x = - $\frac{1}{2}$

left side = (- 2 - 5)² = (- 7)² = 49 = right side ⇒ solution

x = 3

left side = (12 - 5)² = 7² = 49 = right side ⇒ solution

7 0

2 years ago

Find 415 of 619 in simplest form,

Finger [1]

Answer:

415/619

Step-by-step explanation:

619 is a prime number, so the fraction is in simplest form already.

8 0

2 years ago

in a group of 15 people, two third of them are females, 4 of them are wearing boots. How many are not wearing boots

Mumz [18]

Answer:

6 females were not wearing boot but if your looking for how many people total aren't its 11 people that aren't

8 0

2 years ago