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3 years ago

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

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

Vikentia [17]

Answer:

Step-by-step explanation:

Hello,

please consider the following

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

hope this helps

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

Read 2 more answers

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 > 3

m_a_m_a [10]

Answer:

Step-by-step explanation:

there's no graph selection attached. Can you upload it and then I can help?

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