false, false, true, false
Answer:
(x, y) = (4, 9)
Step-by-step explanation:
You can use the second equation to write an expression for y.
y = 10 - 1/4x . . . . subtract 1/4x from the given 2nd equation
Now, substitute that for y in the first equation:
1/2x + 1/3(10 -1/4x) = 5
1/2x + 10/3 -1/12x = 5 . . . . eliminate parentheses
You can work this a couple of ways from here. One is to multiply by 12 to eliminate fractions. Another is to work with the numbers as they are. We'll do that, because we don't get enough practice doing arithmetic with fractions.
5/12x = 5/3 . . . . . subtract 10/3
x = (5/3)/(5/12) = 12/3 = 4
From above, we can use our expression for y:
y = 10 - 1/4·4 = 9
The solution is (x, y) = (4, 9).
Answer:
94.2ft
Step-by-step explanation:
- The formula for finding the circumstance is the diameter times pi.
- We know the radius. To find the diameter, we double the radius, which would be 30. (2x15=30)
- Next, we multiply 30 by pi. (30x3.14). The answer is 94.2.
- Thus, the answer is 94.2ft.
- Expand & simplify ⇨
. Give your answer in the form 
where b & c are integers.
Use binomial theorem 
to expand 
.
The square of 
is 10.
Factor 
. Rewrite the square root of the product 
as the product of square roots 
.
Multiply 
and 
to get 2.
Multiply -2 and 2 to get -4.
The square of is 2.
Add 10 and 2 to get 12.
- Here, b & c are integers where
