Answer:
45 and 450
Step-by-step explanation:
let x be the bigger number and y the smaller number, then:
495 = x+y, 10y=x
then you simplify:
495=10y+y
y=45
x=10y=450
Answer:
(x + 4)^2 + (y - 8)^2 = 81
or
(x + 4)^2 + (y - 8)^2 = 9^2 depending on how your teacher wants it written.
Step-by-step explanation:
The standard form for a circle is
(x + h)^2 + (y + k)^2 = r^2
r is the radius.
You are given the diameter
r = d/2
r = 18/2
r = 9
So you already have the right hand side of the equation
(x + h)^2 + (y + k)^2 = 9*2
(x + h)^2 + (y + k)^2 = 81
You basically have h and k as well. They come from the center point.
h = 4
k = - 8
So the equation of the circle (and the answer) is
(x + 4)^2 + (y - 8)^2 = 81
One question remains. Why do the x and y values change signs? If you know what the distance formula is, then what you are finding is the distance r of all points on the circle from the center of the circle.
It is the distance formula that is actually the formula for the circle.
I am assuming that you can only pick one answer per question.
Let's imagine there are two questions on the test. I would:
1) Consider the first question. How many possible ways could you answer it?
2) Consider the second question. How many ways can you answer that?
If you wrote out all the possibilities, how many combinations of answers would you get across the two questions?
The answer is C because if you put
Find the reflected two points which are:
They're just flipped equations
