Answer:
-3
Step-by-step explanation:
The length of a segment is
sqrt( ( y2-y1)^2 + (x2-x1) ^2) = 2 sqrt(10)
sqrt( ( a-4 - -1)^2 + (2a -4) ^2) = 2 sqrt(10)
sqrt( ( a-4 +1)^2 + (2a -4) ^2) = 2 sqrt(10)
Combine like terms
sqrt( ( a-3)^2 + (2a -4) ^2) = 2 sqrt(10)
Square each side
( a-3)^2 + (2a -4) ^2) = 4 *(10)
FOIL the left side
a^2 -6a +9 + 4a^2 -16a +16 = 40
Combine like terms
5a^2 -22a +25 = 40
Subtract 40 from each side
5a^2 -22a -15 =0
Factor
(a - 5) (5 a + 3) = 0
Using the zero product property
a-5 =0 5a +3 = 0
a = 5 5a = -3
a=5 a = -3/5
The product of the terms is
5 * -3/5 = -3
Tax=tax rate times cost of product
tax=17.50
cost of product=250
17.50=rate times 250
divide both sides by 250
17.50/250=rate
0.07=rate
percent means parts out of 100
0.07/1 times 100/100=7/100=7%
7%=rate
answer is 7% tax
There is no entry fee at an amusement park. It costs $110 per day at the amusement park.
Answer:
correct
Step-by-step explanation:
x means up and down and it is at -3
y means side to side and it is at -7
Answer:
15
Step-by-step explanation:
30 / 2 = 15