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inessss [21]
3 years ago
15

AXYZ is rotated 180°. What are the coordinates of point X'?

Mathematics
1 answer:
vredina [299]3 years ago
5 0
<h3>Answer:  (4, -1)</h3>

Reason:

When rotating a point 180 degrees around the origin, you use the rule

(x,y) \to (-x,-y)

We flip the sign of each coordinate from positive to negative or vice versa.

The point X is at the location (-4, 1). Rotating this 180 degrees will get us to X'(4, -1)

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Write an equation for the line that passes through the given point and is perpendicular to the graph of the given equation.
Nezavi [6.7K]

Answer:

  • y + 2 = - 3/2(x - 4)

Step-by-step explanation:

<u>Given line:</u>

  • y + 4 = 2/3(x - 2)

It has a slope of 2/3.

<u>Perpendicular lines have negative-reciprocal slopes, so the perpendicular slope is:</u>

  • m = - 3/2

<u>Find its equation provided it passes through the point (4, - 2):</u>

  • y - (-2) = - 3/2(x - 4)
  • y + 2 = - 3/2(x - 4)
3 0
2 years ago
Rob mixed 3.7 grams of salt into a pot of soup he was cooking. Before he served the soup, Rob added 0.5 grams of salt. How much
saul85 [17]

Answer:

4.2 grams in total

Step-by-step explanation:

<h2>Remember to line up the decimal point when adding numbers that contain decimals.</h2>

 3.7

+0.5

_______

 4.2                    

5 0
3 years ago
Employees of a landscaping company built a retaining wall. They used brick to make the top 2/3 of the wall. The wall is 8and 1/2
IgorC [24]

Answer:

Height of the brick portion of the wall is 5.61 feet.

Step-by-step explanation:

Employees of the landscaping company used brick to build the top 2/3 of the wall. The total dimensions of the wall are 8 and 1/2 * 2 and 3/4 feet. So the height of the wall = 8 and 1/2 feet or in other words 8.75 feet.

Height of the brick portion of the wall = 2/3 * 8.5 = 0.66 * 8.5 = 5.61 feet

So the height of the brick portion of the wall is 5.61 feet.

Non brick portion of the wall is 8.5 - 5.61 = 2.89

4 0
3 years ago
Read 2 more answers
What does 72 divided by 9 + 4x4 equal
MrMuchimi
72 divided by 9 = 8
8 + 4x4 = 8+16
8+16=24
5 0
3 years ago
Read 2 more answers
5 of 5
Vsevolod [243]
Let ratio constant k
Pip: 3k
Angad: k
Nick: k
Pip gets 36 more than Nick
3k-k=36
k=18

All together:
3k+k+k
=5k
=5(18)
=90
7 0
3 years ago
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