NEED HELP WITH THIS

How to solve <img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B4%7D%20x%20%7B%7D%5E%7B2%7D%20%20%3D%20x%20%2B%202" id="TexFormu

Vikentia [17]

Answer:

➩ $x=2,-\frac{2}{3}$

Step-by-step explanation:

$\sqrt{4x^2}=x+2$

➨ We can also solve by completing both squares, however. Since we can pull out the square root.

$\sqrt{4x^2}=|2x|$ ➩ Define of Absolute Value/Square Root

➩ $\sqrt{x^2}=|x|$

Thus, our new equation is ➩ $|2x|=x+2$

To solve an absolute-value equation, let there be two conditions.

➨ Where x ≥ 0

$2x=x+2\\$

Move x to another side

$2x-x=2\\x=2$

➨ Where x < 0

$-2x=x+2\\-2x-x=2\\-3x=2\\x=\frac{2}{-3}\\x=-\frac{2}{3}$

3 0

3 years ago

Find dy/dx in the following 1) y=x^[10] +10^[x] +e^[x] 2) y=㏒ x +e^[x]+√x - 1/x

kakasveta [241]

1. in picture 1

2. in picture 2

Hope this helps :T

Also I am not so shure about 2, but I am 98% shure 1 is right.

6 0

3 years ago

8 more than a number

Anuta_ua [19.1K]

Answer:

$\boxed{ 8 + x}$

Step-by-step explanation:

Hey there!

In most cases "the number" would be x.

So if the statement says 8 "more than a number",

It is saying 8 plus x or 8 + x.

Hope this helps :)

3 0

3 years ago

Read 2 more answers

In the figure below, the two triangular faces of the prism are fight triangles with sides of length 3, 4, and 5. The other three

olasank [31]

The figure of the prism is attached below.

The total surface area of the prism equals the sum of areas of two triangles and the three rectangles.

Surface Area of Prism = Area of 2 Triangles + Area of 3 Rectangles.

Area of a Triangle = 0.5 x Base x Height
Area of a Triangle = 0.5 x 3 x 4 = 6 square units

There are 3 rectangles. From the figure we can see that the bottom most rectangle has the dimensions 4 by 6. The left most rectangle has the dimensions 3 x 6 and the right most rectangle has the dimensions 5 by 6.

So, the Area of 3 rectangles will be = (4 x 6) + (3 x 6) + (5 x 6) = 72 square units

The Surface Area of the prism will be:

Surface Area = 2 (4) + 72 = 84 square units

Thus the correct answer is option A

6 0

3 years ago

Which set represents the same relation as the graph below? A B C D

eimsori [14]

Answer:

B. {( -1,-2 ), ( -3,-2 ), ( -5,4 ), ( 2,0 ), ( 3,3 ), ( 4,5 ), ( 6,-4 )}

Step-by-step explanation:

We are given the graph showing the points of a relation.

According to the graph, we see that, the given points of the relation are:

( -1,-2 ), ( -3,-2 ), ( -5,4 ), ( 2,0 ), ( 3,3 ), ( 4,5 ) and ( 6,-4 ).

As, we see that there are 7 points in the relation.

So, option C and D are not correct as they have 5 and 6 points respectively.

Also, option A is wrong as it contains different set of points.

Hence, we get that option B is correct.

That is the set representing the graphed relation is {( -1,-2 ), ( -3,-2 ), ( -5,4 ), ( 2,0 ), ( 3,3 ), ( 4,5 ), ( 6,-4 )}

8 0

3 years ago

Read 2 more answers