diagonal is square root of A^2+b^2
so C is the correct answer
Answer:
x = 5 and -6
Step-by-step explanation:
Using the intersecting chord theorem which states that the products of the lengths of the line segments on each chord are equal.
Hence:
let
a = 6, b = 5, c = x+1 and d = x
Therefore, ab = cd
6*5 = x(x+1)
30 = x²+x
x²+x - 30 = 0
x²+ 6x - 5x - 30 = 0
x(x+6) - 5(x+6) =0
(x-5)(x+6) = 0
x-5 =0 and x+6 = 0
x = 5 and -6
Answer:
C.
Step-by-step explanation:
Even though it is absolute value, 17 is still the greatest answer. If a number is in absolute value it will never be negative, only positive values can come out of an absolute value.
An example for absolute value would be if you had to measure the amount of distance away from something, even if its behind you, it would still be a positive number of length away from you.
If you had the absolute value of -25, it would automatically be equal to 25.
So circling back to the original problem, the absolute value of 17 would be greater than 3, -4 and -8. If (hypothetically) it was the absolute value of -17 it would still be greater because it would equal 17.
I hope that made sense, im sorry that it's a bit lengthy. Have a good day :)
Answer/Step-by-step explanation:
1.
Apply the Quotient rule: i.e.
2.
Apply the product rule: i.e. .
Apply the negative exponent rule: i.e.
3.
Apply product rule
4.
Apply the rules of 1 and quotient rule
Answer:
One pecan costs $8. One apple costs $9.
Step-by-step explanation:
p and a are number of number of pecan and apple sold, respectively.
:::::
"1 pecan cheesecake and 4 apple cheesecakes for $44"
p + 4a = 44
"14 pecan cheesecakes and 14 apple cheesecakes for $238"
14p + 14a = 238
You have a system of two equations in two unknowns:
p + 4a = 44
14p + 14a = 238
:::::
Eliminate the p terms: Multiply the first equation by -14, then add the product to the second equation.
-14p - 56a = -616
14p + 14a = 238
------------------------
-42a = -378
a = (-378)/(-42) = 9
p = 44-4a = 8
One pecan costs $8. One apple costs $9.