Answer:
centre=(25,-17)
radius=19
Step-by-step explanation:
comparing with the formula
(x-h)^2+( y-k)^2=r^2
Answer:
$8
Step-by-step explanation:
The formula for simple interest is i = p*r*t, where r is the interest rate as a decimal fraction.
Here, i = $80*0.10*1 = $8
A. x=1/8
b. x=0.025 same thing, just divide<span />
<span>Let P be the cost per pound of peanuts.
Let M be the cost per pound of M&M's.
We can set up two equations to solve this question.
(1) 8P + 5M = 55.27
(2) 6P + 4M = 42.70
Let's multiply equation (1) by 3.
Let's multiply equation (2) by 4.
(1) 24P + 15M = 165.81
(2) 24P + 16M = 170.80
Let's subtract equation (1) from equation (2).
M = 4.99
Let's put M = 4.99 in equation (2) to find P.
6P + 4(4.99) = 42.70
6P = 42.70 - 19.96
6P = 22.74
P = 22.74 / 6
P = 3.79
The cost per pound of peanuts is $3.79
The cost per pound of M&M's is $4.99</span>
Answer:
Step-bThis is an interesting problem. To solve it I should find two irrational numbers r and s such that rs is rational.
I am not sure I am able to do that. However, I am confident that the following argument does solve the problem.
As we know, √2 is irrational. In particular, √2 is real and also positive. Then √2√2 is also real. Which means that it is either rational or irrational.
If it's rational, the problem is solved with r = √2 and s = √2.
Assume √2√2 is irrational. Let r = √2√2 and s = √2. Then rs = (√2√2)√2 = √2√22 = √22 = 2. Which is clearly rational.
Either way, we have a pair of irrational numbers r and s such that rs is rational. Or do we? If we do, which is that?
(There's an interesting related problem.)
Chris Reineke came up with an additional example. This one is more direct and constructive. Both log(4) and √10 are irrational. However
√10 log(4) = 10log(2) = 2.y-step explanation:
