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3 years ago

Why do you subtract exponents when dividing powers with the same base?

1 answer:

4 0

Division. If two powers have the same base then we can divide the powers. When we divide powers we subtract their exponents. A negative exponent is the sameas the reciprocal of the positive exponent

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Bobby scored 18 points in last night's game he made 8 baskets somewhere worth two points and summer were three points how many t

Nitella [24]

Answer:

6 2 points, 2 3 points

Step-by-step explanation:

x = 2point shots, y=3 point shots

total points: 2x +3y=18

total made: x+y=8

x= 8-y, derived from isolating x in total made equation

plug into equation 1

2(8-y) + 3y =18

-2y+16+3y= 18

y +16 = 18

y = 2

x = 8-2 = 6

6 2 points, 2 3 points

7 0

3 years ago

Find the simple interest on a $340 loan at a 12% annual interest rate for 5 years *

Lady_Fox [76]

Answer: $204

Step-by-step explanation:

Formular for simple interest (I) is: Principal(P) x Rate (R) x Time (T)

From the question, P= $340

R= 12% = 12/100 = 0.12

T= 5 years

Therefore, simple interest (I) =

340 x 0.12 x 5

I = $204

I hope this is clear, please mark as brainliest

5 0

3 years ago

Read 2 more answers

A RIGHT triangle has three sides: a, b, c such that a=b and LaTeX: a^2\:+\:b^2\:=\:c^2 a 2 + b 2 = c 2 What is the ratio of the

Alex_Xolod [135]

Answer:

$c=b\sqrt{2}$

Step-by-step explanation:

Refer to the attached image.

A right triangle is considered so when one of its corners are 90°.

If sides a and b are equal in length, then the corners across from them are equal in size as well.

The only way for this to be possible is if both corners A and B(opposite of sides a and b) are 45°.

Pythagorean theorem

This theorem states that the square of a right triangle's long side is equal to the sum of the squares of the shorter sides.

In this case:

$a^{2} +b^{2} =c^{2}$

but since:

$a=b$

the equation can be solved by replacing a with b in the equation:

$b^{2} +b^{2} =c^{2} \\2b^{2}=c^{2} \\\sqrt{2b^{2} } = c\\b\sqrt{2} =c$

7 0

3 years ago

Anita has $300 in her savings account that earns 5% annually. The

Paul [167]

She will have 315 Dollars.

8 0

3 years ago

Read 2 more answers

The larger of two numbers is 4 more than 2 times the smaller number. If the sum of the two numbers is 28, what is the larger num

Musya8 [376]

Answer:

The larger number is 20.

Step-by-step explanation:

Let x and y be the two numbers.

y = 2x + 4

x + y = 28

So x + 2x + 4 = 28

3x = 24

x = 8

y = 20

3 0

2 years ago