The distance formula is based on the Pythagorean Theorem:
Distance = Square Root [(X2 - X1)^2<span> + (Y2 - Y1)^</span>2<span>]
</span>Distance = Square Root [(7 -1)^2 + (-7 -1)^2]
Distance = Square Root [ 6^2 + -8^2]Distance = Square Root [ 36 + 64 ]Distance = Square Root [100 ]Distance = 10
Source:http://www.1728.org/distance.htm
AD = AB
AD = 2r+8
AB = 5r-13
we need to find the value of r to find the total length
so 2r+8 = 5r-13
subtract 2r from each side:
8 = 3r -13
add 13 to each side:
21 = 3r
divide both sides by 3
r = 21 / 3 = 7
r=7
now we know r, so replace r with 7 in the equation for AD
AD = 2r+8 = 2(7) +8 = 14 +8 = 22
the answer is D. 22
Answer:
4
Step-by-step explanation:
4
Answer:
a = - 4
Step-by-step explanation:
Given x = - 2 is a root then f(- 2) = 0
f(x) = x³ + x² + ax - 4, thus
f(- 2) = (- 2)³ + (- 2)² - 2a - 4 = 0, that is
f(- 2) = - 8 + 4 - 2a - 4 = 0, thus
- 8 - 2a = 0 ( add 8 to both sides )
- 2a = 8 ( divide both sides by - 2 )
a = - 4
Answer:
3/2.
Step-by-step explanation:
f(x)=2x+5 Finding the inverse:
y = 2x + 5
2x = y - 5
x = (y - 5)/2
So the inverse f-1(x) = (x - 5)/2
and f-1(8) = (8-5)/2
= 3/2.
