All categories

2 years ago

PLEASE SOLVE AND CHECK. SHOW COMPLETE SOLUTION

Mathematics

1 answer:

yaroslaw [1]2 years ago

3 0

Answer:

-2/3= x

Step-by-step explanation:

square all the terms on both sides to get rid of the radicals:

$1^{2} + (\sqrt{1-x} )^{2} = (\sqrt{2x+4}) ^{2}$

exponent 2 and the radical cancel each other:

1 + 1 - x = 2x + 4

2 - x = 2x + 4

like terms on each side ( when you move one term tp the other side, it changes its sign ):

2-x = 2x+4

2-4 = +x +2x

-2 = 3x

now to keep the x alone, divide both sides by 3:

-2/3 = 3x/3

-2/3= x

You might be interested in

Georgia ,a florist,charges $10 per flower bundle plus a$15 delivery charge per order what is the slopes

andrew11 [14]

Answer:

The slope is $ 10 per flower bundle.

Explanation:

The slope of a linear function is the ratio of the change in the dependent variable over the change in the independent variable.

In the problem, the independent variable is the number of flower bundles and the dependent variable is the amount charged.

If you call n the number of flower bundles and c(n) the amount charged per order, the amount charged per order is modeled by linear function:

c(n) = 10n + 15

Where, 10 is the amount charged in dolars per flower bundle, and 15 is the delivery charge per order.

Then, for every increment in the number of flower bundles (n) the amount charged will increase in $ 10. That is the slope

slope = $ 10 / flower bundle.

3 0

3 years ago

Could someone help me? solve for x

Molodets [167]

$5x+2 =42 \\\\$

minus 2 each side.

$5x=40$

then divide

$x=8$

6 0

2 years ago

Write 4% as a reduced fraction and as a decimal

grandymaker [24]

The answer is 0.04
All you have to do is go to a calculator and type 4 then put %

5 0

3 years ago

Sally has 15 quarts of milk. One is equal to 1 4 of a gallon. How many gallons of milk does Sally have?

Ede4ka [16]

3 and three fourths of a gallon

3 0

3 years ago

On a city map 3/4 inch corresponds to 7 1/2 miles bonnie drives from her house to a movie theater and then from a movie theater

Juliette [100K]

Answer:

Option D: $12\frac{1}{2}$ is the correct answer.

Step-by-step explanation:

Given that:

3/4 inches on map are equal to $7\frac{1}{2}$ miles

We will find the unit rate in term of inches.

$\frac{3}{4}\ inches = 7\frac{1}{2}\\\\Unit\ rate = \frac{15}{2}*\frac{4}{3}\ miles\\\\Unit\ rate = 10\ miles\ per\ inch$

Total distance covered by Bonnie according to map;

Total distance = $\frac{1}{2}+\frac{3}{4} = \frac{2+3}{4}$

Total distance = $\frac{5}{4}\ miles$

Actual distance = $\frac{5}{4}*10 = \frac{25}{2}\ miles \\$

Actual distance = $12\frac{1}{2}\ miles$

Hence,

Option D: $12\frac{1}{2}$ is the correct answer.

8 0

3 years ago