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topjm [15]
3 years ago
11

Find the coordinates of C' after a reflection across the line

Mathematics
1 answer:
iragen [17]3 years ago
4 0
<h3>Answer:  (4,2)</h3>

==============================================================

Explanation:

C is at (0,0). Ignore the other points.

Reflecting over y = 1 lands the point on (0,2) because we move 1 unit up to arrive at the line of reflection, and then we keep going one more unit (same direction) to complete the full reflection transformation. I'll call this point P.

Then we reflect point P over the line x = 2 to arrive at the location Q = (4,2). Note how we moved 2 units to the right to get to the line of reflection, and then keep moving the same direction 2 more units, then we have applied the operation of "reflect over the line x = 2"

So we have started at C = (0,0), moved to P = (0,2) and then finally arrived at the destination Q = (4,2). This is the location of C' as well.

All of this is shown in the diagram below.

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Graph the following expression on the number line by placing the dot in the proper locations. | x | = 2
trasher [3.6K]

Answer:

x = 2

x = -2

Step-by-step explanation:

The absolute value of x is the distance from the point x to 0.

Given:

|x| = 2

This means you have to find such points, the distances from which to 0 is equal to 2.

There are two such points: 2 and -2. They are symmetric about 0 (lies on the same distance from 0).

The attached diagram shows the positions of these two points.

4 0
3 years ago
Annabelle uses 15 cups of orange juice when she makes fruit punch. Each pitcher of punch contains 154 cups of orange juice. How
lbvjy [14]
154/15=10.2666666667, which would round to 11 pitchers.
8 0
3 years ago
Lennox owns a big apple orchard. She ships her apples to various markets using a fleet of trucks. Every week, each truck goes on
gavmur [86]

Answer:

  $0.50

Step-by-step explanation:

Each trip transports 50 packs at 12 kg each, for a total of 600 kg. That trip nets $300 in income.

Lennox gets paid ($300)/(600 kg) = $0.50/kg, or 50¢ for 1 kg of apples

8 0
3 years ago
3/4 is added to x, the result is 9/8 . What is the value of x? Enter your answer in the box as a fraction in simplest form.
timofeeve [1]

375/1000 is the answer for u



3 0
3 years ago
The lengths of the bases of the right trapezoid are 9 cm and 18 cm. The length of a longer leg is 15 cm. Find the area of the tr
finlep [7]

Firstly, we will draw figure

now, we will draw a altitude from B to DC that divides trapezium into rectangle and right triangle

because of opposite sides of rectangle ABMD are congruent

so,

DM=AB=9

CM=CD-DM

CM=18-9

CM=9

now, we can find BM by using Pythagoras theorem

BM=\sqrt{BC^2-CM^2}

now, we can plug values

we get

BM=\sqrt{15^2-9^2}

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now, we can find area of trapezium

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now, we can plug values

and we get

A=\frac{1}{2} (9+18)*(12)

A=162cm^2

so, area of of the trapezoid is 162cm^2..........Answer

6 0
3 years ago
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