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Allisa [31]
3 years ago
8

Describe how to use the Equality of Bases Property to solve an equation with an exponent

Mathematics
1 answer:
loris [4]3 years ago
8 0

Answer:

Step-by-step explanation:

To solve exponential equations with same base, use the property of equality of exponential functions . If b is a positive number other than 1 , then bx=by if and only if x=y . In other words, if the bases are the same, then the exponents must be equal.

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The length of a rectangle is 2 Inches less than three times its width, and its perimeter is 36 Inches. Find the width of the
elixir [45]

Answer: Width = 5 inches

Concept:

Here, we need to know the idea of the perimeter.

A perimeter is a path that encompasses/surrounds/outlines a shape.

Perimeter of rectangle = 2 (w + l)

w = width

l = length

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

w = w

l = 3w - 2

P = 36 inches

<u>Given formula</u>

P = 2 (w + l)

<u>Substitute the value into the formula</u>

36 = 2 (w + 3w - 2)

<u>Simplify values in the parentheses</u>

36 = 2 (4w -2)

<u>Divide 2 on both sides</u>

36 / 2 = 2 (4w - 2) / 2

18 = 4w - 2

<u>Add 2 on both sides</u>

18 + 2 = 4w - 2 + 2

20 = 4w

<u>Divide 4 on both sides</u>

20 / 4 = 4w / 4

w = 5

Hope this helps!! :)

Please let me know if you have any questions

5 0
3 years ago
Find the slope of the following graph and Choose the correct result
-BARSIC- [3]

Answer: B 1/3

Step-by-step explanation:

For every 3x it travels 1 y so you will get 1/3 as your answer.

At 50y the line is at 10x.  By the time it is at 60 y it is at 40x.  This was a change in y by 10 and change in x by 30.  There fore the answer is 10/30 or 1/3.

3 0
3 years ago
Read 2 more answers
Suppose you toss a fair coin 4 times. Let X = the number of heads you get. Find the probability distribution of X.
lesantik [10]

Answer:1 and 2:4

Step-by-step explanation: Because  if it's fair you have  a 50 percent chance of heads or tails. and if u write it as a ratio you would get 2_4 you will most likely learn this in 7th grade or 6th

3 0
3 years ago
Solve the equation <br><br> 6-x-x=18<br><br> A. -6<br> B. 6<br> C. 9<br> D. -9
Veronika [31]
A. x = -6
6-x-x = 18
6-2x =18
-2x = 12
x = -6
4 0
4 years ago
HELLPPPPPLSSSS SOMSE
Nina [5.8K]

Answer:

Option F

Step-by-step explanation:

F). x + y = 3 -------(1)

    x - 3y = -2 --------(2)

    Equation (1) minus equation (2)

    (x + y) - (x - 3y) = 3 - (-2)

    4y = 5

    y = 1.25

    Hence, y is positive.

G). x + y = 3 --------(1)

    x + y = -2 --------(2)

    Both the equations represent parallel lines.

    There are no solutions of the given equations.

H). x - 3y = -2 -------(1)

     x + y = -2 -------(2)

    Equation (2) minus equation (1)

    (x + y) - (x - 3y) = -2 - (-2)

     4y = 0

     y = 0

    Since, 0 is neither positive nor negative, y will be neither positive nor negative.

J). x + y = 3 -------(1)

    x - y = 3 --------(2)

    Equation (1) - Equation (2)

    (x + y) - (x - y) = 3 - 3

    2y = 0

    Hence, y is neither negative nor positive.  

    Therefore, Option F is the answer.

7 0
3 years ago
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