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
Answer:
52+p
Step-by-step explanation:
The expression says "add p to 52", so we know that we need to sum two values, one of them is the variable 'p', and the other is the value 52.
So, writing this expression in mathematical terms, we have:
52+p
With this expression, we added p to the number 52.
So the correct answer is the last one (the fifth one)
If you mean what goes in the blanks, it is 5 for the first empty box and 10 for the second empty box.
Answer:
a y=25+89x b 25 c 14
Step-by-step explanation:
89*22=1958
1983-1958=25(service fee)
(1271-25)/89=14
Mean is average so you sum up all 4 numbers and divide by 4. Answer is 27.6725 or rounded 27.67
Have a nice day. Hope this helps.