(r, theta)= (8, 3/2 pi)
r=(x^2 +y^2)^(1/2)
theta= 3/2 pi
x= r(costheta)
y=r(sintheta)
x=8(cos(3/2 pi))
y=8(sin(3/2 pi))
x=8(0)
y=8(-1)
x=0
y=-8
r=((-8)^2+(0)^2)^(1/2)
r=(64+0)^(1/2)
r=8
rectangular coordinates= (0,-8)
Answer:
2 and 5/8 +2 and 2/5
Step-by-step explanation:
That equals 5 1/40
You can immediately read off the y-intercept; it is (0, -1).
To find the slope:
-3 - 0
m = ---------- = -1/3
9
Answer:
A. 30
B. 6
Step-by-step explanation:
We'll use P for Penny's age and B for Benny's age. When Penny is 24, Benny will be 1.25 her age. Thus:
B = 1.25 * 24
(benny is 25% older than her)
So Benny's age then will be 1.25 * 24 = 30.
When Benny is 30, Penny will be 24. This means that he is older than her by 6 years. Think about it for a second: Benny will <em>always</em> be 6 years older than her. You can write that as:
B = P + 6
If Benny is 12 years old now,
12 = P + 6
Subtract 6 from both sides and you get
6 = P
or P = 6
Penny is 6 years old when Benny is 12.
Answer:
7. 28.8722
8. 21.7093
Step-by-step explanation:
458.29 x .063=28.8722
21.7093 x .0775= 21.7093