3 years ago

What is the smallest solution to this equation?

Mathematics

1 answer:

Lapatulllka [165]3 years ago

8 0

Answer:

x = - 6

Step-by-step explanation:

Given

$\frac{2}{3}$ x² = 24 ( multiply both sides by 3 )

2x² = 72 ( divide both sides by 2 )

x² = 36 ( take the square root of both sides )

x = ± $\sqrt{36}$ ← note plus or minus

x = ± 6

solutions are x = - 6, x = + 6

The smallest solution is x = - 6

You might be interested in

Help me please it’s simple :( thank u

Vikki [24]

All have 4 sides. That’s what I would put. Good luck and don’t copy links they’re most likely viruses

6 0

3 years ago

K=mv^2/2 solve for v

matrenka [14]

Answer: $v=\sqrt[]{\frac{2K}{m} }$

Step-by-step explanation:

$K=\frac{mv^2}{2}$

First, multiply by 2 to get rid of the 2 in the denominator. Remember that if you make any changes you have to make sure the equation keeps balanced, so do it on both sides as following;

$2*K=\frac{mv^2}{2}*2$

$2K=mv^2$

Divide by m to isolate $v^2$ .

$\frac{2K}{m}=\frac{mv^2}{m}$

$\frac{2K}{m} =v^2$

To eliminate the square and isolate v, extract the square root.

$\sqrt[]{\frac{2K}{m} }=\sqrt[]{v^2}$

$\sqrt[]{\frac{2K}{m} }=v$

let's rewrite it in a way that v is in the left side.

$v=\sqrt[]{\frac{2K}{m} }$

4 0

2 years ago

3 ounces of cinnamon cost $2.40. There are 16 ounces in 1 pound how much the cinnamon cost per pound

faltersainse [42]

16 ounces in a pound
2.40 for 3 ounces
16 divided by 3 = 5.333
$2.40 * 5.333 =$
12.8
Approx $12.80 for 1 pound of cinnamon

3 0

2 years ago

A jet files at an altitude of 52,800 feet. what is the height of the hey on miles

Triss [41]

There are 5,280 feet in a mile. so 52,800 feet is 10 miles.

4 0

3 years ago

Read 2 more answers

What are the solutions of the system? {y=2x+6y=x2+5x+6 (−3, 0) and (−2, 0) (0, −3) and (6, 0) (−3, 0) and (0, 6) (0, 6) and

SSSSS [86.1K]

<span>(−3, 0) and (0, 6)

Each of these work in both equations</span>

3 0

3 years ago

Read 2 more answers

What is the smallest solution to this equation?​

What is the smallest solution to this equation?