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zhuklara [117]
3 years ago
11

What is the equation of the line that passes through the point (2,-2) and has a slope of -1/2?

Mathematics
1 answer:
katrin2010 [14]3 years ago
3 0

Answer:

y = -1/2x - 1

Step-by-step explanation:

We can use the point-slope form of the equation:

y-y1 = m(x-x1)

Where the given y1 = -2, x1 = 2, and m = -1/2. This yields:

y - (-2) = -1/2(x - 2)

y + 2 = -1/2x + 1

y = -1/2x +1 - 2

y = -1/2x - 1

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Rectangle WXYZ was dilated to create W'X'Y'Z'.
Snezhnost [94]

You did not attach any picture to solve this problem. We cannot calculate for the value W’X’ without the correct illustrations. However, I think I found the correct one (see attached), please attach it next time.

So the first thing we have to do is to calculate for the dilation factor. Taking point G as the reference point, we can see that the distance of point G from rectangle W’X’Y’Z’ is 1.5 while the distance from rectangle WXYZ is (1.5 + 7.5), therefore the dilation factor to use is:

dilation factor = 1.5 / (1.5 + 7.5) = 1.5 / 9 = 1/6

 

Since WX has an initial measure of 3 units, therefore the measure of W’X’ is:

W’X’ = 3 units * (1/6) = 0.5 units

 

Answer:

<span>0.5 units</span>

4 0
2 years ago
Read 2 more answers
An 18 foot rope is extended from the top of a tree to a stake in the ground. What is the measure of the angle, to the nearest de
poizon [28]

Answer:

6 ugly

Step-by-step explanation:

6 x 3 equals 18

5 0
3 years ago
The bearing of Y from X is 63
zimovet [89]

Answer:

  • 117°

Step-by-step explanation:

<u>As per diagram:</u>

  • ∠NXY ≅ ∠XYZ as alternate interior angles since XN and YN are parallel and XY is transversal
  • m∠XYZ = m∠XZY = 63° since ΔXYZ is isosceles

<u>Find the measure of ∠YXZ:</u>

  • m∠YXZ = 180° - 2*63° = 54°

<u>Find the bearing of Z from X:</u>

  • m∠NXZ = m∠NXY + m∠YXZ = 63° + 54° = 117°
8 0
2 years ago
Evaluate each expression. 6 ÷ 6 + z + x − y; use x = 2, y = 5, and z = 6
Paladinen [302]

Answer:

4

Step-by-step explanation:

6/6+6+2-5=

5 0
3 years ago
Estimate 80,767 - 37,291 by first rounding each number to the nearest thousand.
N76 [4]

Answer:

44000

Step-by-step explanation:

Given the following question:

80767-37291

To estimate by the nearest thousand, we have to look at the thousand's place value and then look at the number next to it, to see if it's greater than five.

80767-37291

80767

7 > 5

81000

37291

2 < 5

37000

81000-3700=44000

=44000

Hope this helps.

6 0
2 years ago
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