All categories

1 year ago

PLEASE SOLVE AND CHECK. SHOW COMPLETE SOLUTION

Mathematics

1 answer:

yaroslaw [1]1 year 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

Solve the inequality. Graph the solution set, and write it using interval notation. |5x+4|less than or equal to 10

aniked [119]

we have the inequality

$\lvert5x+4\rvert\leq10$

step 1

Find out the first solution (positive case)

$\begin{gathered} +(5x+4)\leq10 \\ 5x\leq10-4 \\ 5x\leq6 \\ x\leq\frac{6}{5} \\ x\leq1.20 \end{gathered}$

The first solution is all real numbers less than or equal to 1.20

Interval (-infinite,1.20]

step 2

Find out the second solution (negative case)

$-(5x+4)\leq10$

Multiply by -1 both sides

$\begin{gathered} (5x+4)\ge-10 \\ 5x\ge-10-4 \\ 5x\ge-14 \\ x\ge-\frac{14}{5} \\ x\ge-2.8 \end{gathered}$

The second solution is all real numbers greater than or equal to -2.8

the interval [-2.8, infinite)

step 3

Find out the solution to the given inequality

The solution is

[-2.8, infinite) ∩ (-infinite,1.20]=[-2.8,1.20]

the solution is the interval [-2.8,1.20]

see the attached figure to better understand the problem

8 0

7 months ago

Solve the equation. 9x=25

lidiya [134]

Answer:

$x = \frac{25}{9}$

Step-by-step explanation:

Divide both sides by 9 to isolate x:

$\frac{9x}{9} = \frac{25}{9} \\x = \frac{25}{9}\\$

Hope this helps!

8 0

2 years ago

I went to the mall to buy four shirts that cost $6.00 dollars each. If you buy three shirts and get the other one 20% off. How m

Mice21 [21]

I think it would be It would be 4.80

5 0

2 years ago

Find the length of the missing side of the right triangle given the area of the two triangles find the length of the sides of th

irina [24]

From here, it looks like all three sides of the right triangle are missing. I don't see any of them in the question.

3 0

2 years ago

A coin will be tossed twice, and each toss will be recorded as heads (H) or tails (T).

Marta_Voda [28]

Sample space for all possible outcomes:

HH, HT, TH, TT

Sample space for event where heads is the first toss:

HT, HH

5 0

2 years ago