Answer:
input = 5
Step-by-step explanation:
y = -2x - 6
When y = -16
-16 = -2x - 6
divide by -2 on both sides,
8 = x + 3
x = 8 - 3 = 5
The <em><u>correct answer</u></em> is:
A 180° rotation followed by a translation 1 unit down.
Explanation:
The points are mapped as follows:
J(3, 4)→J'(-3, -5)
K(3, 1)→K'(-3, -2)
L(1, 1)→L'(-1, -2)
A 180° rotation maps a point (x, y) to (-x, -y). This would map
J(3, 4)→(-3, -4)
K(3, 1)→(-3, -1)
L(1, 1)→(-1, -1)
The difference between these points and the image points are that each y-coordinate of the image is 1 lower than these. This means a translation 1 unit down would result in the image points.
Answer:
The answer is D
Step-by-step explanation:
Give the other person brainlest
<u>Part a)</u>
Given the expression

Apply exponent rule: 
∵ 
Rewrite 81 as 3 · 27
Rewrite 54 as 2 · 27

Factor out the common term: 27m³n
Therefore,

<u>Part B)</u>
Given the expression

Apply exponent rule: 

Rewrite as

Factor out common term 5y²x²z

Therefore,

The length of the rope for this case is given by the length of the circumference.
We have then:
C = 2 * pi * R
Where,
R: Earth radio.
We have then:
C = 2 * pi * (6371)
C = 12742 * pi
Answer:
the length of this rope is:
C = 12742 * pi