4 2/3+5x=7-2x
Add 2x to both sides.
4 2/3+7x=7
Subtract 4 2/3 on both sides.
7x=2 1/3
7x=7/3
Divide by 7 on both sides.
x=1/3
answer: x=1/3
Well there are 6 toppings. For one person to select sausage, it is

. For two people, multiply them together and the probability is
Answer:
162 in
Step-by-step explanation:
Split this shape into two rectangles:
The big rectangle has a base of 16 and a height of 7 (subtract 12-5=7 for height) Multiply base*height to get area of big rectangle:
16*7 = 112 in
The small rectangle has a base of 10 and a height of 5. Mulitply base*height to get area of small rectangle:
10*5 = 50 in
Add both areas together:
112+50= 162 inches
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.