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3 years ago

Find the slope of the line that passes through the pair of points. (–5.5, 6.1), (–2.5, 3.1)

Mathematics

1 answer:

hjlf3 years ago

7 0

Slope of the line is -1.

Step-by-step explanation:

Given points are,

(-5.5,6.1),(-2.5,3.1)

Here,

$x_{1} = -5.5 ,\ \ \ x_{2}=-2.5\\y_{1} = 6.1,\ \ \ y_{2}=3.1$

Slope = m = $\frac{y_{2}-y_{1}}{x_{2}-x{1}}$

Putting values;

$m=\frac{3.1-6.1}{-2.5-(-5.5)}\\m=\frac{-3}{-2.5+5.5}\\m=\frac{-3}{3}\\m=-1$

Slope of the line is -1.

Keywords: Slope, line

Learn more about slopes at:

#LearnwithBrainly

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A holiday meal cost $12. 50 a person plus a delivery fee of $30 is this linear or nonlinear<br>

allochka39001 [22]

Yes it’s linear
y=12.5x+30

7 0

2 years ago

The computers of six faculty members in a certain department are to be replaced. Two of the faculty members have selected laptop

Anettt [7]

Answer:

a. $\frac{1}{15}$

b. $\frac{2}{5}$

c. $\frac{14}{15}$

d. $\frac{8}{15}$

Step-by-step explanation:

Given that there are two laptop machines and four desktop machines.

On a day, 2 computers to be set up.

To find:

a. probability that both selected setups are for laptop computers?

b. probability that both selected setups are desktop machines?

c. probability that at least one selected setup is for a desktop computer?

d. probability that at least one computer of each type is chosen for setup?

Solution:

Formula for probability of an event E can be observed as:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

a. Favorable cases for Both the laptops to be selected = $_2C_2$ = 1

Total number of cases = 15

Required probability is $\frac{1}{15}$ .

b. Favorable cases for both the desktop machines selected = $_4C_2=6$

Total number of cases = 15

Required probability is $\frac{6}{15} = \frac{2}{5}$ .

c. At least one desktop:

Two cases:

1. 1 desktop and 1 laptop:

Favorable cases = $_2C_1\times _4C_1 = 8$

2. Both desktop:

Favorable cases = $_4C_2=6$

Total number of favorable cases = 8 + 6 = 14

Required probability is $\frac{14}{15}$ .

d. 1 desktop and 1 laptop:

Favorable cases = $_2C_1\times _4C_1 = 8$

Total number of cases = 15

Required probability is $\frac{8}{15}$ .

8 0

3 years ago

If f(x) =3x+5 and g(x) =x-1, then f[g(0) =?

Kisachek [45]

G(0)= 0-1= -1

f(-1)= 3(-1)+5= -3+5= 2

the answer to the question is 2

8 0

3 years ago

1.28 x 10^5) + (113 x 10^3)=

Evgesh-ka [11]

Answer:

241,000

Step-by-step explanation:

When multiplying a number with a base of 10 raised to the nth power. Move the decimal point of that number n digits to the right.

$(1.28 \times {10}^{5} ) + (113 \times {10}^{3} )$

$128000 \: + \: 113000$

$241000$

4 0

3 years ago

what is the unit price for 12 muffins for $25ti the nearest centwhat is the unit price for 12 muffins for $25 to the nearest cen

Maslowich

Answer:

2.04$

Step-by-step explanation:

unit price = Cost/amount you're buying

25$/12 muffins

25/12 = 2 + (1/25)

so 2$ and 1/25 of a dollar, which is 4 cents.

2.04$

Goodluck with your schoolwork/homework!

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Apologies in advance for any errors/bad explanations.

3 0

3 years ago