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MariettaO [177]
3 years ago
9

The parallelogram below will undergo a single transformation.

Mathematics
2 answers:
german3 years ago
6 0
The last 2 options are correct
vladimir1956 [14]3 years ago
5 0

Answer:

The correct options are 3 and 4.

Step-by-step explanation:

The vertices of the parallelogram are P(-8,6), Q(-2,6), R(0,-3) and S(-6,3).

If a figure reflected about x = -4, then

(x,y)\rightarrow (-x-8,y)

Therefore the image is not identical to the original parallelogram.

If a figure reflected about y = 4.5, then

(x,y)\rightarrow (x,-y+9)

Therefore the image is not identical to the original parallelogram.

If a figure rotated through an angle of 360° about the origin, then

(x,y)\rightarrow (x,y)

Therefore the image is identical to the original parallelogram.

If a figure rotated through an angle of 360° about the vertex R, then

(x,y)\rightarrow (x,y)

Therefore the image is identical to the original parallelogram.

Thus the correct options are 3 and 4.

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Which is a solution to (x – 3)(x + 9) = –27?<br><br> x = –9<br> x = –3<br> x = 0<br> x = 6
likoan [24]

Answer:

x = 0

Step-by-step explanation:

Since the product is not equal zero, we need to multiply both parenthesis first:

(x-3)(x+9) =-27

x*x+x*9+(-3)*x+(-3)*9=27

x^2+9x-3x-27=27

x^2+6x-27=27

Add 27 from both sides:

x^2+6x-27+27=-27+27

x^2-6x=0

Factor x out:

x(x+6)=0

Apply the zero product:

x=0,x+6=0

x=0,x=-6

The solutions of the equation are x=0 and x=-6.

We can conclude that the correct answer is x = 0.

7 0
3 years ago
Which of the following is the inequality −18x + 2y ≥ −13 written in slope-intercept form?
Elena L [17]
Hey there! :) 

We're simply just trying to convert "-18x + 2y ≥ -13" into slope-intercept form.

First, we need to know what slope-intercept form is.

Slope-intercept form is : y=mx+b , where m=slope and b=y-intercept.

In order to convert our given equation into slope-intercept form, we have to isolate "y." 

We can do this by adding 18x to both sides.

2y ≥ 18x - 13

Then, divide both sides by 2.

2y ÷ 2 = (18x - 13) ÷ 2

Simplify.

y = 9x - 13/2

Convert -13/2 into a mixed fraction.

So, simply divide -13 by 2.

-13 ÷ 2 = -6.5

Plug in -6.5 into where -13/2 was.

y = 9x - 6.5

Therefore, your answer is C : y ≥ 9x - 6.5

~Hope I helped!~

3 0
3 years ago
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Vinil7 [7]

The angle of depression from the top of the flag pole to point A is 36.2 degrees.

<h3>What is the angle of depression?</h3>

From trigonometric ratio: cos(θ) = Adjacent / Hypotenuse

Given that;

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cos(θ) = Adjacent / Hypotenuse

Cos(θ) = 25ft/31ft

Cos(θ) = 0.80645

θ = cos⁻¹( 0.80645 )

θ = 36.2°

Therefore, the angle of depression from the top of the flag pole to point A is 36.2 degrees.

Learn more about angle of depression here: brainly.com/question/11348232

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Answer:

110

Step-by-step explanation:

Im not sure but the GCF of 10 and 11 should be 110. I hope this helps.

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