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ohaa [14]
2 years ago
15

Midpoint of (16,5) and (-6,-9)?

Mathematics
1 answer:
Zigmanuir [339]2 years ago
8 0

To solve this problem, we need to use the midpoint formula, where M = (x1+x2/2, y1+y2/2). To solve, we must plug in the given (x,y) values from our ordered pairs and then simplify, shown below:

(x1+x2/2, y1+y2/2)

( (16 + -6)/2, (5 + -9)/2 )

Now, we can begin to simplify by computing the addition in the numerators of both fractions.

(10/2, -4/2)

Next, we can finish the simplification process by dividing these fractions.

(5, -2)

Therefore, the midpoint of (16,5) and (-6,-9) is (5,-2).

Hope this helps!

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lesya692 [45]

Step-by-step answer:

Given an enlargement from preimage (ABC) to image (A'B'C').

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Scale factor = linear size of image / linear size of preimage.

From the accompanying diagram, we see that

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Therefore

Scale factor = L(image) / L(preimage) = 12 / 4 = 3

4 0
3 years ago
Ramon earns $1,610 each month and pays $53.40 on electricity. To the nearest tenth of a percent, what percent of Ramon's earning
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2 years ago
What is the equation of the following graph in vertex form? parabolic function going down from the left through the point negati
Anestetic [448]
A parabolic function's key characteristic is either having 2 x-intercepts or 2 y-intercepts. That is the reason why the standard form of parabolic functions are:

(x-h)^2 = +/- 4a(y-k) or (y-k)^2 = +/- 4a(x-h), where

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Since we don't know any of those parameters, we'll just have to graph the data points given as shown in the picture. From this data alone, we can see that the parabola has two x-intercepts, x=-4 and x=-2. Since it has 2 roots, the parabola is a quadratic equation. Its equation should be

y = (x+4)(x+2)
Expanding the right side
y = x²+4x+2x+8
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Rearrange the equation such that all x terms are on one side of the equation
x²+6x+___=y-8+___
The blank is designated for the missing terms to complete the square. Through completing the squares method, you can express the left side of the equation into (x-h)² form. This is done by taking the middle term, dividing it by two, and squaring it. So, (6/2)²=9. Therefore, you put 9 to the 2 blanks. The equation is unchanged because you add 9 to both sides of the equation.

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6 0
3 years ago
What is the slope of this line?
HACTEHA [7]
The slope of this line is -1 because it goes down one and to the right one
6 0
3 years ago
Read 2 more answers
Point 6 is on line segment FH. Given FG=8 and GH=11, determine length FH
Pie

Answer:

GH = 20

Step-by-step explanation:

We have that

FH = FG + GH ← substitute values

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8 = 2x ( divide both sides by 2 )

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Hence GH = 5x = 5 × 4 = 20GH = 20

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