All categories

3 years ago

5^2x * 5^3 =5^9 what is x please help

Mathematics

1 answer:

erastovalidia [21]3 years ago

4 0

Answer:

x = 3

Step-by-step explanation:

${5}^{2x} \ast {5}^{3} = {5}^{9} \\ {5}^{2x + 3} = {5}^{9} \\ 2x + 3 = 9 \\ (bases \: are \: equal \: so \: exponents \: will \: also \: \\ be \: equal) \\ 2x = 9 - 3 \\ 2x = 6 \\ x = \frac{6}{2} \\ \huge \red { \boxed{x = 3}}$

You might be interested in

In a marble collection, 1/8 of the marbles are blue. Of the blue marbles, 1/2 have sparkles. What fraction of the marbles in the

Delvig [45]

Answer:

1/16

Step-by-step explanation:

if half the amount of blue marbles have sparkles you need to divide the amount of blue marbles in half

so 1/2 of 1/8 is 1/16

8 0

3 years ago

High of the following transformations does not result in a congruent figure

LuckyWell [14K]

Any transformation involving change of scale will not result in a congruent figure. Rotations and reflections and translations maintain congruence.

7 0

3 years ago

Suppose a triangle has sides a, b, and c, and let theta be opposite the side of length a. If cos theta < 0, what must be true

katrin2010 [14]

If $\cos \theta\ \textless \ 0$ , then angle $\theta$ is obtuse and triangle with sides a, b, c is obtuse triangle.
In an arbitrary triangle can be only one obtuse angle, and the side which lies opposite to the largest angle is the largest. Then since <span>angle $\theta$ is opposite the side of length a</span> you can conclude that a>c and a>b.

6 0

3 years ago

Georgia lifts free weights. The bar weighs 25 pounds. She puts two 25-pound weights and two 10-pound weights on the bar. How muc

Digiron [165]

Answer:

there would be 95 pounds all together

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

A square has a diagonal of 44in. I want to frame the picture, how many inches of frame do I need

dimaraw [331]

The square has a 44-inch diagonal.

The pythagorean equation must be used to obtain the hand.

Diagonal (d) ^ 2 = side^2 + side ^ 2

Diagonal (d) ^ 2 = 2side (s)^2

d^2 = 2s^2

44^2 = 2s^2

1936 = 2s^2

2s^2 = 1936

s^2 = 968

s = 31.11 inches

The length of the side is around 31 inches

Perimeter = 4*s

Perimeter = 4 * 31

Perimeter = 124 inches

As a result, you will need a total of 124 inches to frame the rectangle.

Hope this helps you!!

8 0

3 years ago