Answer:
Step-by-step explanation:
p = power washer and g = generator
6p + 6g = 90 .....multiply by 4
4p + 8g = 100 ....multiply by -6
---------------------
24p + 24g = 360 (result of multiplying by 4)
-24p - 48g = -600 (result of multiplying by -6)
---------------------add
-24g = - 240
g = -240 / -24
g = 10 <=== the generator cost $ 10 per hr
6p + 6g = 90
6p + 6(10) = 90
6p + 60 = 90
6p = 90 - 60
6p = 30
p = 30/6
p = 5 <==== the power washer costs $ 5 per hr
check...
4p + 8g = 100
4(5) + 8(10) = 100
20 + 80 = 100
100 = 100 (correct)
Answer:
Part C
Look at the circle you created that has point C(the midpoint of AB) as its center and passes through point A.
What can you say about AB, about the inscribed angle of a circle, and include your reasoning in your response.
Answer:
p(5) = 17
Step-by-step explanation:
p(x) = 4x - 3
p(5) = 4(5) - 3
= 20 - 3
= 17
Answer:
proof below
Step-by-step explanation:
Remember that a number is even if it is expressed so n = 2k. It is odd if it is in the form 2k + 1 (k is just an integer)
Let's say we have to odd numbers, 2a + 1, and 2b + 1. We are after the sum of their squares, so we have (2a + 1)^2 + (2b + 1)^2. Now let's expand this;
(2a + 1)^2 + (2b + 1)^2 = 4a^2 + 4a + 4b + 4b^2 + 4b + 2
= 2(2a^2 + 2a + 2b^2 + 2b + 1)
Now the sum in the parenthesis, 2a^2 + 2a + 2b^2 + 2b + 1, is just another integer, which we can pose as k. Remember that 2 times any random integer, either odd or even, is always even. Therefore the sum of the squares of any two odd numbers is always even.
