Answer:
Dannielle's mistake was that she added the exponents,
x^3 + 5x^3, doesn't equal 6x^6
Step-by-step explanation:
the correct work is below:
x^3 + 5x^3 + 5x^2 - 3x^2 + 2x - 7 - 1
6x^3 + 2x^2 + 2x -8
Answer:
With brackets
(t + 9) + (t + 9) + (t + 9) + (t + 9)
4(t + 9)
Without brackets
4t + 36
Answer:
32.14
Step-by-step explanation:
it is a right triangle
so Pythagorean Theory is a^2 + b^2 = c^2
a and b are the legs of the right triangle
c is the hypotenuse
15.3^2 + b^2 = 35.6^2
234.09 + b^2 = 1267.36
1267.36 - 234.09 = 1033.27
1033.27 ^1/2 (square root) = 32.14
Answer:
the rate of change of the area is Ra= 80 mm² per second
Step-by-step explanation:
the area of a rectangle (A) is
A = L * W , L= length and W= width
if the width remains constant the change in the area is only due to the change in length , thus:
ΔA = Δ( L * W ) = W * ΔL , where ΔA represents the change in area and ΔL represents the change in length
ΔA = W ΔL
denoting Δt as the time required to change, and dividing both sides by Δt
ΔA/Δt = W ΔL/Δt
where Ra=ΔA/Δt = rate of change of the area and RL=ΔL/Δt rate of change of the length.
thus
Ra = W * RL
replacing values
Ra = W * RL = 8 mm * 10 mm/second = 80 mm² /second
B = 120 because it is in your sum
