Answer:
(13 + or - (sign) square root(37)) / 6
Step-by-step explanation:
First search up the quadratic formula which is
x = (- b + or - square root(b^2 - 4ac)) / 2a
and to find a, b, and c you need this formula
ax^2 + bx + c = 0 (btw this is the safest solution to finding your answer with a number in-front of a quadratic equation.)
Math:
a = 3, b = -13, c = 11
b = -13, because of the x on the other end of the equation as the equation above "ax^2 + bx + c = 0" you need the zero to proceed to this next step.
Side Note: You only take the number and not the variable, variables are x, y, w, z, or etc.
(- (- 13) + or - square root((-13)^2 - 4(3)(11) ) ) / 2 * 3
13 + or - square root(37) / 6
Answer:
2 sqrt(2x-1)
Step-by-step explanation:
f(x) = sqrt( x+9)
g(x) = 8x-13
f(g(x))
place the function g(x) in for x in f(x)
f(g(x)) = sqrt(8x-13+9)
Combine like terms
f(g(x)) = sqrt(8x-4)
Factor out 4
f(g(x)) = sqrt(4*(2x-1)
2 sqrt(2x-1)
Answer:
A repeating decimal is a decimal with no end, its constantly repeating itself
A terminating decimal is a decimal with an end
Answer:
9,765 cm
Step-by-step explanation:
We'll solve out the measurements for triangle ABC then it will be easy to figure out x
For triangle ABC, we have
Angle B = 90 degrees.
Angle A (CAB) = 38 degrees (the angle CAD is 19 and is said to be half of CAB, since the line AD is a bisector).
Angle C = 180 - 90 - 38 = 52 degrees.
To find the measurement of the BC line, which we label a, we know that

So, we can isolate the a to get:

Now we know the segment BC is 19.53 cm.
And we know that segments CD and DB are equal, since AD is a bisector, cutting the CAB angle in half.
So, CD is half of BC.... so 19.53 / 2 = 9.765 cm
To find the volume of the recycling bin, you will use the formula for finding volume of a rectangular prism.
V = lwh
V = 12 x 512 x 612
V = 3760128 cubic meters
The answer is not given, but based in these numbers this is correct.
If it is 12 m x 5 m x 6 than the answer is 360 cubic meters