Answer:
Step-by-step explanation:
Combine like terms
Distribute the 7
Subtract 3m from each side
Add 7 to each side
Divide by 4
Answer:
a=6, b=-12, and c=0
Step-by-step explanation:
The standard format for the quadratic formula is ax^2+bx+c (=0).
If we rearrange the numbers given to look like this formula, we will find the values of a, b, and c.
6x^2=12x We can move over the 12x to the other side.
6x^2-12x=0 There is no visible value of c, but since there is no term without a variable, c=0
6x^2-12x+0=0
So a=6, b=-12, and c=0
Answer:
The length of the ramp is 7.3 meters.
Step-by-step explanation:
The length of a triangle's side must be less than the sum of its two other sides. It also cannot have the same value as its other combined sides.
7 + 2 > 7.3
2 + 7.3 > 7
7 + 7.3 > 2
<em>r</em> is also longer than 7 meters, so that leaves option b. as your answer.
Answer:
D.
Step-by-step explanation:
To find the equation of g(x), we can substitute the point into each of the equations.
A. g(x) = (1/4x)^2
1 = (1/4 * 2)^2
1 = (1/2)^2
1 = 1/4
This statement is false, so this is not the equation.
B. g(x) = 1/2 * x^2
1 = 1/2 * (2)^2
1 = 1/2 * 4
1 = 2
This statement is false, so this is not the equation.
C. g(x) = 2x^2
1 = 2 * 2^2
1 = 2 * 4
1 = 8
This statement is false, so this is not the equation.
D. g(x) = (1/2x)^2.
1 = (1/2 * 2)^2
1 = 1^2
1 = 1
This statement is true, so this is your answer.
Hope this helps!
The original volume of the given prism is
l*w*h = 162
where l = length, w = width, h = height
Reducing 1/3 of each sides,
(1/3)l*(1/3)w*(1/3)h=(1/27)162
Thus,
The new volume is 162/27 = 6 cubic cm
