The man's age is 57 years old.
To find this answer follow the steps below:
1. Subtract 29 from 200 to get 171.
2. Divide 171 by 3 to get 57.
To check this, use the equation 200 - (57 x 3) = 29.
1. 57 x 3 = 171. 200 - 171 = 29
2. 200 - 171 = 29. 29 = 29.
Thus meaning the man is 57 years old. I hope this helps!
Answer:
Center: (0, 6); radius = 4
Step-by-step explanation:
x^2 + y^2 - 12y + 20 = 0
We must complete the square in y.
x^2 + y^2 - 12y = -20
x^2 + y^2 - 12y + 36 = -20 + 36
x^2 + (y - 6)^2 = 16
(x - 0)^2 + (y - 6)^2 = 4^2
Center: (0, 6); radius = 4
Find the dot product of the vectors
a = <ax, ay> and b = <bx, by>
The dot product is found by multiplying corresponding coordinates, and then sum all those products:
a * b = ax * ay + bx * by
________
For this question, you have these vectors
a = <5, 2> and b = <4, 5>
so the dot product is
a * b = 5 * 4 + 2 * 5
a * b = 20 + 10
a * b = 30 <----- this is the answer.
I hope this helps. =)
You simply have to take the linear equation form (ax + by = c) and solve for y. So you get:
by = c - ax
y = c/b - ax/b
Since c/b will be a constant, you can replace it with any variable (i.e. b), and so that represents the y-intercept and a/b will also be a constant, so that can also be replaced by any variable (i.e. m), and it represents the slope.
Answer:
d. Summarized account information
Step-by-step explanation: