Answer: -0.6, -1/4 (-0.25), -0.15
Step-by-step explanation: the farther away from 0, going left, the smaller the number.
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: 904.78 cu. ft
Step-by-step explanation:
Volume of sphere = 4/3 pi r^3
Assuming 12 ft. is the diameter of the sphere.
The simplest form for this fraction is (A)
You divide both the numerator and denominator by 9, you will get 3/5.
so the answer is A.
Answer:
The expressions are not equivalent because -3(2)(5-4)+3(2-6)=-18 and -12(2)-6=-30
Step-by-step explanation:
Two expressions are said to be equal if after a number is substituted to the expression, they produce the same result (that is they have the same value).
To determine whether -3x(5-4)+3(x-6) is equivalent to -12x-6, we have to substitute the same number to the expression and see if it produces the same result.
Substituting 2 to the first expression gives:
-3×2(5-4) + 3(2 - 6) = -6 - 12 = -18
Substituting 2 to the second expression gives:
-12(2) - 6 = -24 - 6 = -30
Since -3×2(5-4) + 3(2 - 6) = -6 - 12 = -18 and -12(2) - 6 = -24 - 6 = -30, the expressions are not equivalent because they do not produce the same result.
