How to express 24.357 in unit form

What is the solution to –4|–2x + 6| = –24?x = 0x = 0 or x = –6x = 0 or x = 6no solution

Juliette [100K]

The correct answers are the x = 6 and x = 0.

In order to find this, we can follow the order of operations.

–4|–2x + 6| = –24

Divide by -4

|–2x + 6| = 6

Since it is now equal to a absolute value, we have to solve for the positive and negative versions of the final answer. Let's start with the positive.

-2x + 6 = 6

-2x = 0

x = 0

Now for the negative

-2x - 6 = -6

-2x = -12

x = 6

These would be your two answers.

4 0

3 years ago

If using the method of completing the square to solve the quadratic equation x^2-13x+14=0, which number would have to be added t

nevsk [136]

Answer:

169/4

Step-by-step explanation:

Take the coefficient of the x term. Here it's -13. Now halve that, obtaining -13/2. Finally, square this result. We get 169/4. This is the desired number.

x^2 - 13x + 169/4 - 169/4 + 14 = 0

7 0

2 years ago

Find the standard equation for the circle having the given center and radius.

RoseWind [281]

$\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \hspace{5em}\stackrel{center}{(\underset{0}{h}~~,~~\underset{0}{k})}\qquad \stackrel{radius}{\underset{7}{r}} \\\\[-0.35em] ~\dotfill\\\\ ( ~~ x - 0 ~~ )^2 ~~ + ~~ ( ~~ y-0 ~~ )^2~~ = ~~7^2\implies x^2+y^2=49$

7 0

1 year ago

You have just bought a new television and it has an aspect ratio of 16:9. The screen on the television is 65 inches. What is the

dem82 [27]

Answer:

Width of T.V. is 21.94 inches Height is 39 inches and area is 855.66 square inch.

Step-by-step explanation:

When we buy an electronic item like T.V or Blue Ray aspect ratio is the term which is used by the salesmen or technicians. Aspect ratio is actually the ratio of length and breadth of the screen of a device or ration of width and height.

In this question aspect ratio of television is given as 16:9

This can be written as $\frac{W}{H}=\frac{16}{9}$ or $W=\frac{16}{9} H$