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gayaneshka [121]
3 years ago
5

Find the coordinates of the midpoint of a segment with the given endpoints W(-12, -7), T(-8, -4)

Mathematics
2 answers:
jasenka [17]3 years ago
4 0

Finding the midpoint coordinates of any segment really boils down to finding the midpoints of each individual coordinate.

The x-coordinates of the two points are -12 and -8 - the number halfway between those two is -10, so that'll be the midpoint's x-coordinate. The y-coordinates are -7 and -4 - -5.5 is halfway between these two, so the y-coordinate will be 5.5.

Putting the two together, the midpoint of the segment WT has the coordinates (-10, -5.5).

Ludmilka [50]3 years ago
3 0

You can find the midpoint with the following formula:

\frac{x1+x2}{2}, \frac{y1+y2}{2}

Substitute the corresponding values into the formula.

\frac{(-12)+(-8)}{2}, \frac{(-7)+(-4)}{2}

\frac{-20}{2}, \frac{-11}{2}

-10, -5.5

The coordinates of the midpoint are (-10, -5.5).

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Part A: The area of a square is (16x2 − 8x + 1) square units. Determine the length of each side of the square by factoring the a
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Answer:

see below

Step-by-step explanation:

16x^2 − 8x + 1

(4x)^2 -8x +1

Factor

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a^2 -2ab +b^2 = (a-b)(a-b)

(4x)^2 -8x +1 = (4x-1) (4x-1)

The area of a square is given by

A = s^2

(4x-1) ^2 = s^2

4x-1 = s

The side length is 4x-1

(81x^2 − 4y^2)

(9x)^2 - (2y)^2

This is the difference of squares

a^2 - b^2 = (a-b) (a+b)

(9x-2) (9x+2)

The area of a rectangle is

A = l*w

(81x^2 − 4y^2)  = (9x-2) (9x+2)

The dimensions are (9x-2) (9x+2)

3 0
2 years ago
For options A– E choose all of the expressions that are equivalent to 3(4x + 3).
Katen [24]
3(4x+3) = 12x + 9
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Hope This Helps✨
3 0
3 years ago
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Kazeer [188]

Step-by-step explanation:

I hope it helps man this much .

6 0
3 years ago
Use the remainder theorem to find the remainder of 2x^4 + x^2 - 10x -1 divided by x +2.
Svetllana [295]

Remainder Theorem says that if there is any Polynomial equation P(x), which is to be divided by (x - a) then remainder can be calculated by substituting value of a in equation P(x).  

2x^{4} +x^{2}-10x-1 = P(x)   divided by   (x+2)

Step 1: Find a

To find a we will have to convert (x+2) into (x - a) form

i.e.  (x+2) = (x - (-2))

therefore, a = -2

Step 2: Substitute value of a in P(x),

By substitution we get,

2(-2)^{4}+(-2)^{2}-10(-2)-1

= 2(16) + 4 +20 -1

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Hence, Remainder is 55.

8 0
2 years ago
A small telescope magnifies
WARRIOR [948]

The observatory telescope has 22 times the magnifying power compared to the small telescope.

Data;

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<h3>Division of Numbers</h3>

To solve this question, we have to divide the large telescope by the small telescope to calculate it's magnifying power.

x = \frac{3300}{150}=22

The magnification of the observatory telescope is 22 times greater or larger than the small telescope.

Learn more on division of numbers here;

brainly.com/question/7068223

4 0
2 years ago
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