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3241004551 [841]
4 years ago
6

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

Mathematics
1 answer:
Anastasy [175]4 years ago
4 0
Division<span>. If two </span>powers<span> have the </span>same base<span> then we can </span>divide<span> the </span>powers<span>. When we </span>divide powers<span> we </span>subtract<span> their </span>exponents<span>. A negative </span>exponent<span> is the </span>same<span>as the reciprocal of the positive </span><span>exponent</span>
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How many solutions does the system have?
amid [387]

Answer:

A; infinitely many solutions

Step-by-step explanation:

first, let's simplify the first equation to make it simpler.

divide both sides by 5

y=3x-8

new system

y=3x-8

y=3x-8

as you can see, they are the same.

not mandatory but useful!⬇⬇⬇⬇

just to be more clear, let's substitute them. since they're both already in y=, we can make them both set to each other.

3x-8=3x-8

add 8 to both sides; subtract 3x from one side

0=0

the answer is A, Infinitely many solutions.

hope this helped <3333333

8 0
3 years ago
If T is the midpoint of SV, ST= x + 4, and TV= 2x - 8, how long is SV?
Rashid [163]

Answer:

The answer to your question is SV = 32

Step-by-step explanation:

Data

T = mid point

ST = x + 4

TV = 2x - 8

SV = ?

Process

1.- If T is the mid point of SV, that means that the distance from ST to SV is the same.

                    ST = TV

2.- Substitution

               x + 4 = 2x - 8

-Solve for x

              x - 2x = -8 - 4

-Simplifying

                   -x = -12

-Result

                    x = 12

3.- Find the length of SV

                  SV = ST + TV

                  SV = x + 4 + 2x - 8

                  SV = 12 + 4 + 2(12) - 8

                  SV = 16 + 24 - 8

                  SV = 40 - 8

                  SV = 32                          

3 0
3 years ago
Joe painted 2/3 of a bedroom in 4/5 of a day How many days will it take for Joo to paint one bedroom?
Marysya12 [62]

Answer:

hi how are you doing today Jasmine

6 0
3 years ago
if a right circular cone has a volume of 15 cubic ft and a radius of 3 ft, what is the height of the cone?
Setler79 [48]
Volume of cone=1/3 times height times pir^2
v=15
r=3
15=1/3 hpi3^2
15=1/3hpi9
15=9/3hpi
15=3hpi
divide 3
5=hpi
h=5/pi
pi=aprox 3.14
5/3.14=1.59

1.59 ft
4 0
3 years ago
Help me with questions 3 &amp; 4
ASHA 777 [7]

3. -4x - 6

-3(x + 2) - x → ( distribute bracket by - 3)

= - 3x - 6 -x → (collect like terms)

=( - 3x - x) - 6 = - 4x - 6

4. A has the smallest value

A =( 2 - 3 ) = -1

B = 2 × 3 = 6

C = 2 + 3 = 5

D = \frac{2}{3}

A is negative while the others are all positive.

Thus A is the smallest value expression


6 0
3 years ago
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