Note that the equation of the circle is
(x-h)² +(y-k)² =r²
where centre is (h,k)
the equation of the circle based on the information given
(x-3)² +(y-4)² =r²
and the point on the circle (3,-2)
substitute into the equation
(3-3)² +(-2-4)² =r²
r=6 or r=-6
since r is radius, we reject r=-6 since radius must be nonnegative.
the radius is 6
<u>Answer:</u>
The amount of butter, sugar and flour does Clifford need is 2.5 cups flour, 3.75 cups sugar and 1.25 butter
<u>Explanation</u>:
Consider the number of cup of flour used to be x
According to question,
Recipe calls for 1.5 times as much flour as sugar
Sugar =
Sugar = 1.5x
Butter = ½ x = 0.5x
According to question,
Flour + Sugar + Butter = 7.5
x + 1.5x + 0.5x = 7.5
3x = 7.5
x = 2.5
Sugar = 1.5x = 1.5(2.5) = 3.75
Butter = 0.5(2.5) = 1.25
Clifford need is 2.5 cups flour, 3.75 cups sugar and 1.25 cups butter
The answer is B. -7m+12.
First distribute the -2 to 6m and -5.
5m-2(6m-5)+2
5m+(-2*6m)+(-2*-5)+2
5m+-12m+10+2
After that, combine the like terms.
5m+-12m+10+2
-5m+-12m=-7m
10+2=12
The simplified expression is -7m+12.
Answer:
The skydiver will fall 1600 ft in 10 seconds.
Step-by-step explanation:
<u>Distance a body falls from rest varies directly as the squares of the time it falls </u>
Let distance = s
time = t
Therefore , s = k 
Given, the body falls 64 ft in 2 seconds.
Substituting in above equation,
64 = k 
64 = k 
k = 
k = 16 ft/
We have to find how much he will fall in 10 seconds.
s = k 
s = 
s = 
s = 1600 ft
5,000 × 3.8%= 19,000×18= 342,000 × 40 = 13,680,000