Answer:
The number 10 is the base
Answer:
x cubed minus y cubed is equal to 504
Step-by-step explanation:
First we need to know what the values of x and y are. We can do this pretty easily, by just solving both equations for x, and equating them to each other:
With the first:
x + y = 10
x = 10 - y
And with the other
x - y = 6
x = 6 + y
Now that we have two definitions of x, we can say that the expressions are equal, and solve for y:
10 - y = 6 + y
10 - 6 = y + y
4 = 2y
y = 2
And now that we know what y is, we can find x:
x = 10 - y
x = 10 - 2
x = 8
So x is equal to eight. We can check our answer by plugging x into the other equation and seeing if we get the same value for y:
x - y = 6
8 - y = 6
-y = 6 - 8
-y = -2
y = 2
So we know we solved that correctly.
Now if we cube each number, eight cubed is equal to 512, and 2 cubed is equal to 8. If we subtract the latter from the former we get 504.
so x cubed minus y cubed is equal to 504
<h3>
Answer: x = 40</h3>
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Work Shown:
A+B+C = 180 ..... three angles of any triangle add to 180
(2x+10)+(x)+(2x-30) = 180
5x-20 = 180
5x = 180+20 .... adding 20 to both sides
5x = 200
x = 200/5 ... dividing both sides by 5
x = 40
This is the measure of angle B
We can stop here.
If you need to know the values of the other angles, then,
- angle A = 2x+10 = 2*40+10 = 90
- angle C = 2x-30 = 2*40-30 = 50
Then note how A+B+C = 90+40+50 = 90+90 = 180 which helps confirm our answer.
A short-cut to accurately evaluate the given expression above is using a scientific calculator where one can include integrals and evaluate using limits. In this case, using a calculator, the answer is equal to 0.2679. One can verify this by integrating truly letting 1-x^2 as u and use its du to be substituted in the numerator
It grows 2.5 inches in a month,
and 1 inch=2.54cm
then to know how many cm the plant grows in a month, we multiply
2.5*2.54=6.35cm
