Solve for x: 3(x + 1) = −2(x − 1) − 4

1 answer:

4 0

Solve your equation step-by-step.

3(x+1)=−2(x−1)−4

Simplify both sides of the equation.

3(x+1)=−2(x−1)−4

Simplify:

3x+3=−2x−2

Add 2x to both sides.

3x+3+2x=−2x−2+2x

5x+3=−2

Subtract 3 from both sides.

5x+3−3=−2−3

5x=−5

Divide both sides by 5.

5x/5 = −5/5

x=−1

You might be interested in

What is m∠B? A.51 B..129 C.134 D.141

san4es73 [151]

Answer:

I think it 129 If not try 4

7 0

3 years ago

Sally lives in City A and works for the department of transportation. She needs to inspect the weigh stations in each of four di

KonstantinChe [14]

She could drive to city a

6 0

2 years ago

Twenty-two is what percent of 55 A) 22% B) 40% C) 50% D) 250%

Mashutka [201]

Answer:

twenty two percent of 55 would be the answer B.40 I think.

4 0

2 years ago

- 3(x - 6) + 6 = 5x - 6. work

MakcuM [25]

Answer:

= 15/4 as fraction

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

15 points!!! GEOMETRY help please!! Questions attached!

dolphi86 [110]

3. Look at the picture.

We have the right angle triangle. We know the sum of measures of angles in triangle is equal 180°. Therefore:

$x^o+90^o+43^o=180^o\\\\x^o+133^o=180^o\ \ \ |-133^o\\\\x^o=47^o$

$Answer:\ \boxed{47^o}$

4.
Look at the picture.

Use Pythagorean theorem:

$x^2+14^2=(10+x)^2\\\\x^2+196=10^2+2\cdot10\cdot x+x^2\ \ \ \ |-x^2\\\\196=100+20x\ \ \ |-100\\\\20x=96\ \ \ |:20\\\\x=4.8$

$Used:\ (a+b)^2=a^2+2ab+b^2$

$Answer:\ \boxed{4.8\ units}$

5.
TRUE: 1; 2; 4

6.
We find a slope of the line OP:

$m=\dfrac{y_2-y_1}{x_2-x_1}\\\\O(2;\ 6)\to x_1=2;\ y_1=6\\\\P(4;\ 3)\to x_2=4;\ y_2=3\\\\m=\dfrac{3-6}{4-2}=\dfrac{-3}{2}$

We have: $OP:\ y=-\dfrac{3}{2}x+b$

Now, we must find the slope of the line perpendicular to the line OP.
We know:

$k:y=m_1x+b;\ l:y=m_2x+c\\\\k\ \perp\ l\iff m_1m_2=-1$

therefore

$-\dfrac{3}{2}m_2=-1\ \ \ |\cdot\left(-\dfrac{2}{3}\right)\\\\m_2=\dfrac{2}{3}$

So. We have the answer! :)

$Answer:\ \boxed{y=\dfrac{2}{3}x+\dfrac{1}{3}}$

6 0

3 years ago