Answer:
C = 6.28r
Step-by-step explanation:
If the circumference of a circle is C, then C = 2(3.14)r, where r is the radius.
Then C = 6.28r
Answer: -36a^6+32a^4
Step-by-step explanation:
Y = |x| = x if x ≥ 0, -x if x < 0
absolute value can be interpreted as a function that does not allow negative real numbers, forcing them to be positive (leaving 0 alone). if the input x is more than or equal 0, then x stays positive so there is no need to do anything: "x if x ≥ 0".
if the input is less than 0, then it is an negative number and needs a negative coefficient to negate the negative: "-x if x < 0"
example: if x = -3, then it will take the "-x if x < 0" piece resulting in y = -(-3) = 3, which is what |-3| does
if x = 1, it will take the "x if x ≥ 0" piece and just have y = 1 which is what |1| does.
for x = 0, it will take the "x if x ≥ 0" and just have y = 0 which is what |0| does
9 + 13x = 6 + 19x since x is same variable (year)
9 - 6x = 6
-6x = -3
x = 1/2 yr or 6 months
Pj = prop jet speed
pp = private plane speed
pj is 2.5 times faster than pp, therefore
A) pj = 2.5*pp
B) pj = 2*pp + 60
Substituting equation A into B
B) 2.5*pp = 2*pp +60
.5 * pp = 60
Private Plane travels at 120 mph
Prop jet = 2.5 * private plane = 300 mph
