All categories

3 years ago

| x+4 | = 5 Solve the absolute value equation or indicate that the equation has no solution.

Mathematics

1 answer:

vladimir2022 [97]3 years ago

8 0

| x + 4 | = 5

x + 4 = 5 x + 4 = -5
x = 5 - 4 x = -5 - 4
x = 1 x = -9

solution : x = 1 and x = -9

You might be interested in

What is the sales tax on a jacket at 750 of the sales tax rate is 7%

SIZIF [17.4K]

Sales tax is $52.50

6 0

3 years ago

Find the surface area of a sphere with a radius of 30 m. leave your answer in terms of pi @Directrix

insens350 [35]

The formula for surface area of a sphere: A = 4 pi r^2.
Since the radius is 30 m then A = 4pi30^2.
30^2 x 4 =3600
A=3600pi m

5 0

3 years ago

Read 2 more answers

Complete the point-slope equation of the line through (2,3 and (7,4). Use exact numbers.

uysha [10]

The point-slope equation of the line is $y-3=\frac{1}{5}(x-2)$

Step-by-step explanation:

The form of the point-slope equation is $y-y_{1}=m(x-x_{1})$ , where

m is the lope of the line
$(x_{1},y_{1})$ is a point lies on the line

The slope of a line $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ , where

$(x_{1},y_{1})$ and $(x_{2},y_{2})$ are two points on the line

∵ The line through (2 , 3) and (7 , 4)

∴ $x_{1}$ = 2 and $x_{2}$ = 7

∴ $y_{1}$ = 3 and $y_{2}$ = 4

- Substitute these value in the rule of the slope

∵ $m=\frac{4-3}{7-2}=\frac{1}{5}$

∴ the slope of the line is $m=\frac{1}{5}$

Let us substitute the value of the slope and the coordinates of point $(x_{1},y_{1})$ in the form of the equation

∵ $y-y_{1}=m(x-x_{1})$

∵ $x_{1}$ = 2 and $y_{1}$ = 3

∵ $m=\frac{1}{5}$

∴ $y-3=\frac{1}{5}(x-2)$

The point-slope equation of the line is $y-3=\frac{1}{5}(x-2)$

Learn more:

You can learn more about the linear equation in brainly.com/question/12941985

#LearnwithBrainly

3 0

3 years ago

If the freshman class of 63 students has 11 more boys than girls, determine how many of each are in the class.g 1

torisob [31]

B + G = 63
B = G + 11

G + 11 + G = 63
2G + 11 = 63
2G = 63 - 11
2G = 52
G = 52/2
G = 26 <=== 26 girls

B = G + 11
B = 26 + 11
B = 37 <=== 37 boys

4 0

3 years ago

Rico and his friend eat some lasagna. Rico eats 1/9 of lasagna, and his friend eats 1/18 of the lasagna. How much of the lasagna

Blizzard [7]

Answer:

$\frac{5}{6}$ of the lasagna is left

<u>Step-by-step explanation:</u>

Given:

Amount of lasagna Rico eats = 1/9

Amount of lasagna His friend eats = 1/18

To Find:

The amount lasagna is left =?

Solution:

Total lasagna ate by both Rico and his friend = Amount of lasagna Rico eats + Amount of lasagna His friend eats

Total lasagna ate by both Rico and his friend = $\frac{1}{9} + \frac{1}{18}$

Total lasagna ate by both Rico and his friend = $\frac{2}{19} + \frac{1}{18}$

Total lasagna ate by both Rico and his friend = $\frac{3}{18}$

Total lasagna ate by both Rico and his friend = $\frac{1}{6}$

The amount lasagna is left = 1 - Total lasagna ate by both Rico and his friend.

The amount lasagna is left = $1 - \frac{1}{6}$

The amount lasagna is left = $\frac{6-1}{6}$

The amount lasagna is left = $\frac{5}{6}$

4 0

3 years ago