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Readme [11.4K]
3 years ago
5

Determine the value of the expression: 5^4 × 5^8/5^6 Write your answer in exponential notation (in exponent form).

Mathematics
1 answer:
4vir4ik [10]3 years ago
6 0

Answer:

5⁶

Step-by-step explanation:

We have

5^4*\frac{5^8}{5^6}\\\frac{x^n}{x^y}=x^{n-y}\\\frac{5^8}{5^6}=5^{8-6}=5^2\\x^n*x^y=x^{n+y}\\5^4*5^2=5^6

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Plot the vertex, focus, and directrix for the parabola represented by this equation. X=-1/12(y-2)^2+1
alukav5142 [94]

The vertex of the parabola is (1, 2), focus of the parabola is  (-2, 2), and directrix x = 4.

<h3>What is a parabola?</h3>

It is defined as the graph of a quadratic function that has something bowl-shaped.

We have a parabola equation:

\rm x = -\dfrac{1}{12}(y-2)^2+1

The standard form of the parabola:

\rm x = \dfrac{1}{4(f-h)}(y-k)^2+h

(h, k) is the vertex of the parabola and (f, k) is the focus.

\rm x = \dfrac{1}{4(-2-1)}(y-2)^2+1

h = 1, k =2, and f = -2

The directrix is x = 4

Thus, the vertex of the parabola is (1, 2), focus (-2, 2), and directrix x = 4.

Learn more about the parabola here:

brainly.com/question/8708520

#SPJ1

5 0
2 years ago
Solve for x. x/2≥−4 <br> a. x≥−2 <br> b. x≤−2 <br> c. x≥−8 <br> d. x≤−8
yKpoI14uk [10]
If you are satisfied please like

7 0
3 years ago
(2x + 5x - 3) + (x + 3)
IrinaK [193]

Answer:

8x

Step-by-step explanation:

Because you are adding the (x+3) there you can immediately you the association property to simplify

(2x + 5x + x) + (3 - 3)

8x + 0 =

8x

5 0
2 years ago
Paulette can bake a batch of cookies with 2 eggs and 1 cup of water. How many batches of cookies can Paulette bake if she has 10
Brrunno [24]
She can bake a maximum of 5 batches
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3 years ago
The ratio of blue shirts to
Ugo [173]

Answer:

35 blue shirts

Step-by-step explanation:

7 x 3 = 21

7 x 5 = 35

4 0
3 years ago
Read 2 more answers
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