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LUCKY_DIMON [66]
3 years ago
10

What is the midpoint of the segment shown below? (3,5) (2,2)

Mathematics
2 answers:
Kamila [148]3 years ago
7 0
(X, Y) = (5/2, 7/2)
Juliette [100K]3 years ago
6 0

Answer:

(5/2, 7/2)

Step-by-step explanation:

Use the midpoint formula to solve for the midpoint:

(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\\\(\frac{3+2}{2},\frac{5+2}{2})\\\\(\frac{5}{2},\frac{7}{2})

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A certain positive number is multiplied by 4, and then the result is subtracted from the original number. The result is 21 less
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Answer:

The number is 7

Step-by-step explanation:

certain positive number: x

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result of this is subtracted from the original number:

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the result is 21 less than 0, this means negative 21

x - 4x = 0 - 21 = -21

do algebra:

-3x = -21

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3x = 21

divide both sides by 3

x=7

(certain positive number: x) is equal to 7

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8 to the power 1/6 times 2 to the power x equals 32 to the power 1/2
Elza [17]

The exact value of x is 2.

<h3>What is linear equation?</h3>

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. This is sometimes referred to as a "linear equation with two variables," where y and x are the variables.

8⁽¹/⁶⁾ x 2ˣ = 32⁽¹/²⁾

32⁽¹/²⁾ = 2⁵⁽¹/²⁾

32⁽¹/²⁾ = 2⁽⁵/²⁾

8⁽¹/⁶⁾ = 2³⁽¹/⁶⁾

8⁽¹/⁶⁾ = 2⁽¹/²⁾

8⁽¹/⁶⁾ x 2ˣ = 2⁽¹/²⁾ x 2ˣ

= 2⁽¹/²⁾+ˣ  

= 2⁽¹/²+ˣ⁾

since 8⁽¹/⁶⁾ x 2ˣ  = 32⁽¹/²⁾

= 2⁽⁵/²⁾

2⁽¹/²+ˣ⁾ = 2⁽⁵/²⁾

equate the powers

1/2+ x = 5/2

subtract 1/2 from both sides

x = 5/2 - 1/2

x = (5-1)/2

x = 4/2

x= 2

Therefore, x = 2 is the exact value of x.

To know more about linear equation, visit:

brainly.com/question/11897796

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