Answer:
The value of y given the values of x and z in the question is -734.85
Step-by-step explanation:
This is a joint variation question.
First, we are made to know that y varies jointly as x and z.
The equation for this can be written as;
y = k * x * z
Where k is the constant of proportionality.
Let’s calculate k first.
117 = k * (-3) * (-11)
33k = 117
K = 117/33 = 3.55
Now, we proceed to get what y is when x = -9 and z = 23
Let’s plug these values into the initial equation written.
y = k * x * z
We use the value of k calculated above;
y = 3.55 * (-9) * (23) = -734.85
Answer:
a^x/y=1 x: 0
Step-by-step explanation: w.k.t, a^0=1( any variable raised to 0 is 1)
so, here the exponent is x/y which should have been 0 so that answer was 1.
The last option because he spent $135 or more
If a pentagon is regular, then all of the sides are the same length. This means that

So, if
, the lengths of the sides evaluate to

So, all the sides of the pentagon are 21 units long, and AB is 21 units long as well, because all sides are the same length.
Answer:
Step-by-step explanation:
Note that one equation has -2y and the other has +2y. The fastest solution is to add the equations together. The two terms will cancel out, eliminating the y terms.