Need help on this question

5(x-3) = 2(x+3) solve for x

sattari [20]

Answer:

7

Step-by-step explanation:

5(x - 3) = 2(x + 3) Distribute

5x - 15 = 2x + 6

+ 15 + 15 Switch sides to the liked terms

5x = 2x + 6 + 15

-2x -2x Switch sides to the liked terms

5x - 2x = 6 + 15

3x = 21 Divide

3 3

x = 7

4 0

3 years ago

Read 2 more answers

Furnace repairs Rj's plumbing charges $55 plus $40 per hour for emergency service. Gary remembers being billed over $150 for an

bulgar [2K]

You set it up as a y=mx+b problem 150=55x+40 then you subtract 40 from 150 making 110=55x so x=2

6 0

3 years ago

Given segments AB and CD intersect at E.

nata0808 [166]

The length of a segment is the distance between its endpoints.

$\mathbf{AB = 3\sqrt{2}}$
AB and CD are not congruent
AB does not bisect CD
CD does not bisect AB

(a) Length of AB

We have:

$\mathbf{A = (1,2)}$

$\mathbf{B = (4,5)}$

The length of AB is calculated using the following distance formula

$\mathbf{AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}$

So, we have:

$\mathbf{AB = \sqrt{(1 - 4)^2 + (2 - 5)^2}}$

$\mathbf{AB = \sqrt{18}}$

Simplify

$\mathbf{AB = 3\sqrt{2}}$

(b) Are AB and CD congruent

First, we calculate the length of CD using:

$\mathbf{CD = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}$

Where:

$\mathbf{C = (2, 4)}$

$\mathbf{D = (2, 1)}$

So, we have:

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

$\mathbf{CD = \sqrt{9}}$

$\mathbf{CD = 3}$

By comparison

$\mathbf{CD \ne AB}$

Hence, AB and CD are not congruent

(c) AB bisects CD or not?

If AB bisects CD, then:

$\mathbf{AB = \frac 12 \times CD}$

The above equation is not true, because:

$\mathbf{3\sqrt 2 \ne \frac 12 \times 3}$

Hence, AB does not bisect CD

(d) CD bisects AB or not?

If CD bisects AB, then:

$\mathbf{CD = \frac 12 \times AB}$

The above equation is not true, because:

$\mathbf{3 \ne \frac 12 \times 3\sqrt 2}$

Hence, CD does not bisect AB

Read more about lengths and bisections at:

brainly.com/question/20837270

7 0

3 years ago

Photon Lighting Company determines that the supply and demand functions for its most popular lamp are as follows: S(p) = 400 - 4

Alinara [238K]

S(p)=D(p)
400-4p+0.00002p4=2,800-0.0012p3
Solve for p
P=96.24

8 0

3 years ago

Read 2 more answers

Explain the difference between common and preferred stock? List the advantages and disadvantages of each.

Arturiano [62]

Common Stock :

→Common stock is the most common type of stock that is issued by companies.

→ Have voting privileges, whereas holders of preferred stock may not.

→ Most common stock gives owner one vote per number of shares owned.

Preferred Stock :

→ Preferred stock is generally considered less volatile than common stock.

→ Preferred stockholders generally do not have voting rights.

Both common stock and preferred stock have their advantages.

When considering which type may be suitable for you, it is important to assess your financial situation, time frame, and investment goals.

7 0

4 years ago