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Bumek [7]
2 years ago
8

What is the midpoint of the coordinate F( -2, 4) and G(6, 1)

Mathematics
1 answer:
Marrrta [24]2 years ago
6 0

Answer:

\huge\boxed{\left(2; 2\dfrac{1}{2}\right)}

Step-by-step explanation:

\text{The formula of a midpoint:}\\\\M\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)\\\\\text{We have the points}\ F(-2,\ 4),\ G(6,\ 1).\\\\\text{Substitute:}\\\\M_{FG}\left(\dfrac{-2+6}{2};\ \dfrac{4+1}{2}\right)\to M_{FG}\left(\dfrac{4}{2};\ \dfrac{5}{2}\right)\to M_{FG}\left(2; 2\dfrac{1}{2}\right)

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Answer:

Step-by-step explanation:

y = 6x − 4

y = 5x − 3

A: chose a value for x(input) and get the out put (y) because the equation already in the slope intercept mode:y=mx+b

x                   y=6x-4                  y=5x-3

1                    y=2                        y=2

2                    y=8                        y=7

0                     -4                            -3

slope  :

y=6x-4    slope is 6            y intercept(0,-4)

y=5x-3      slope is 5          y intercept (0,-3)

solution of the pair of equation is  the point of intersection :

6x-4=5x-3

6x-5x=-3+4

x=1   and y=6x-4   ⇒ y=6-4=2

<h2>(1,2)</h2>

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3 years ago
An employee of a store's gift wrapping center is wrapping 8 gifts
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<h3>Part A:</h3>

The area A of a rectangle is A = bh, where b is the base of the rectangle and h is the height. The area of each rectangle with side lengths 1.5 ft and 2 ft is 1.5 × 2 = 3ft2. Since there are two rectangles with these dimensions, the combined area is 2 × 3 = 6 ft2. The area of each rectangle with side lengths 1.5 ft and 2.5 ft is 1.5 × 2.5 = 3.75 ft2. The area of each rectangle with side lengths 2 ft and 2.5 ft is 2 × 2.5 = 5 ft2. Since there are two rectangles of each type, the combined area is 2 × 3.75 + 2 × 5 =17.5 ft2. <u><em>So, the total surface area of the box is 6 ft2+ 17.5 ft2 = 23.5 ft2</em></u>

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<h3>Part B:</h3>

The employee needs to wrap 8 boxes, each with a surface area of 23.5 ft2. So, the combined surface area needing to be wrapped is 8 × 23.5 = 188 ft2. Since there is only 160 square feet of wrapping paper left, the employee will not be able to wrap all of the gifts

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vlada-n [284]

ANSWER:

125/2 =125/2

PROVED

STEP BY STEP EXPLANATION

PUTTING THE VALUE OF X, WE HAVE

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PROVED.

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