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AlladinOne [14]
3 years ago
10

What are the coordinates of R’, the image of R(-4,3) after a reflection in the line y=x?

Mathematics
1 answer:
navik [9.2K]3 years ago
6 0

Answer:

R'(3,-4)

Step-by-step explanation:

we know that

When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places

so

The rule of the reflection across the line y=x is equal to

(x,y) ------> (y,x)

we have

R(-4,3) ------> R'(3,-4)

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Factor the polynomial expression x^4+18x^2+81
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Answer:

Step-by-step explanation:

Hello,

please consider the following

x^4+18x^2+81=(x^2)^2+2*(3^2)x^2+(3)^4\\\\=(x^2+9)^2

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4 0
3 years ago
Find the x−and y−intercepts.
nadya68 [22]

Answer:

(4,-8/5)

Step-by-step explanation:

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3 years ago
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A rectangle has a length of 12 yards less than 3 times its width. If the area of the rectangle is 135 square yards, find the len
Aleonysh [2.5K]

Answer:

The length is 15 yards

Step-by-step explanation:

Given

Represent the width with W and length with L: So

Area = 135yd^2

L=3W - 12

Required

Determine the length of the rectangle:

Area is calculated as thus:

Area = L * W

Substitute 3W - 12 for L and 135 for Area

135= (3W - 12) * W

135= 3W^2 - 12W

Reorder:

3W^2 - 12W - 135= 0

Divide through by 3

W^2 - 4W - 45 = 0

Expand:

W^2  - 9W + 5W - 45 = 0

W(W  - 9) + 5(W - 9) = 0

(W + 5)(W-9) = 0

W + 5 = 0 or W - 9 = 0

W = -5 or W = 9

But width can't be negative

So:

W = 9

Recall that: L=3W - 12

L = 3 * 9 - 12

L = 15

<em>Hence, the length 15 yards</em>

4 0
3 years ago
Select the graph that would represent the best presentation of the solution set.<br> \absP &gt; 3
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Answer:

Step-by-step explanation:

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4 0
2 years ago
Look at the figure below: Triangle ABC is a right triangle with angle ABC equal to 90 degrees. The length of AC is 7 units, and
Studentka2010 [4]

Answer: 12.25

Step-by-step explanation:

Given the following details :

DAC = 90° and ABC = 90° = right angled

Segment AB is Parallel to segment DC

FROM THE DETAILS ;

Triangle ABC and ACD are similar triangles.

Length AC = 7 Units

Length AB = 4 Units

For similar triangles :

Segment CD /AC = Segment AC / AB

CD / 7 = 7 / 4

Cross multiply

CD × 4 = 7 × 7

CD × 4 = 49

CD = 49 / 4

CD = 12.25 Units

3 0
3 years ago
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