The given line has a slope of -1 so the perpendicular line will have a slope of -1/1=1
y=x+5
Bruno had 10 bills for each if you don't count the 2 more $20 bills. If you want a complete number, bruno had 12 $20 dollar bills and 10 $10 bills
Answer:
18/44
Step-by-step explanation:
To turn 9/22 into something over 44, we need to figure out what to multiply it by.
44 / 22 = 2.
Multiply 9/22 by 2:
9/22 * 2 = 18/44
The x² term will be C(5,2)x²·2³ = 80x².
The coefficient is 80.
_____
C(n, k) = n!/(k!·(n-k)!)
C(5, 2) = 5·4/(2·1) = 10
Answer:
The function is A = 10√r
Step-by-step explanation:
* Lets explain the meaning of direct variation
- The direct variation is a mathematical relationship between two
variables that can be expressed by an equation in which one
variable is equal to a constant times the other
- If Y is in direct variation with x (y ∝ x), then y = kx, where k is the
constant of variation
* Now lets solve the problem
# A is varies directly with the square root of r
- Change the statement above to a mathematical relation
∴ A ∝ √r
- Chang the relation to a function by using a constant k
∴ A = k√r
- To find the value of the constant of variation k substitute A and r
by the given values
∵ r = 16 when A = 40
∵ A = k√r
∴ 40 = k√16 ⇒ simplify the square root
∴ 40 = 4k ⇒ divide both sides by 4 to find the value of k
∴ 10 = k
- The value of the constant of variation is 10
∴ The function describing the relationship of A and r is A = 10√r
