Answer:
A. x = -2,500.
Step-by-step explanation:
sqrt(-4x) = 100
(sqrt(-4x)^2 = (100)^2
-4x = 10,000
4x = -10,000
x = -2,500
Check your work...
sqrt(-4(-2,500))
= sqrt(4 * 2,500)
= sqrt(10,000)
= plus or minus 100
A. x = -2,500 is your answer.
Hope this helps!
Answer: 90 Earth years.
Step-by-step explanation:
Analizing the information provided in the exercise, you need to find the Least Common Multiple (LCM) of the given numbers.
You can follow these steps:
1. You must descompose 6, 9, 15 and 18 into their prime factors:
2. Finally, you need to choose the commons and non commons with their greatest exponents and multiply them. Then you get:
Therefore, it will take 90 Earth years for them to all line up.
Answer:
24 Meters Cubed
Step-by-step explanation:
If 3m is the length of the base edge, and 8 is the height, then the answer would be 24 Meters cubed. The formula for a square trapezoid is V=a squared times height/three.
Answer:
C) How many 1/8s are in 3?
Step-by-step explanation:
Do the algebraic process:
1/8x = 3
x = 24
This means there are 24 (twenty-four) 1/8's in 3.
You can also check:
1/8 • 24 = 3
This is the same as 24/8 = 3.
So, this answers the question, "How many 1/8s are in 3?"
Answer:
y = -2(x -2)^2 + 11
Step-by-step explanation:
It works well to factor the leading coefficient from the first two terms.
... y = -2(x^2 -4x) +3
Now we want to add the square of half the x-coefficient inside parentheses, and subtract the equivalent quantity outside parentheses.
... y = -2(x^2 -4x +4) +3 - (-2·4)
... y = -2(x -2)^2 +11 . . . . . . . . simplify
_____
The form given in the problem statement is called "vertex form," where the vertex of the parabola is (h, k). A graph shows us the vertex is (2, 11), so we can write the function immediately as ...
... y = -2(x -2)^2 +11