Answer:
The correct answer is option B). 7x² -12x√14 + 72
Step-by-step explanation:
I<u>dentity</u>
(a - b)² = a² - 2ab + b²
Find the product
It is given that ( x√7 - 3√8)(x√7 - 3√8)
(x√7 - 3√8)(x√7 - 3√8) = (x√7 - 3√8)²
(x√7 - 3√8)² = (x√7)² - 2*x√7*3√8 +(3√8)²
= 7x² - 6x√56 + 72
= 7x² - 6x*2√14 + 72
= 7x² - 12x√14 + 72
Therefore the correct answer is option B). 7x² - 12x√14 + 72
Answer:
x = 20√2 and y = 20√3.
or x = 28.28 and y = 34.64 to the nearest hundredths.
Step-by-step explanation:
Take the 2 'inside' triangles. They are similar.
So we have x / (60-40) = 40 / x
x/ 20 = 40 /x
x^2 = 800
x = √800
x = 20√2
y = √(800 + 20^2)
= √(1200)
= 20√3.
Step-by-step explanation:
g(x) = 3x² + 2x - 1
g(-1) = 3(-1)² + 2(-1) - 1
= 3(1) -2 -1
= 3 - 3
= 0
Answer:Find the distance between the parallel lines m and n whose equations are y = x + 4 and y = x - 6, respectively.
There are several ways to do this...here's one
Let (0, 4) be a point on the first line
Then.......a line with a negative reciprocal slope going through this point will have the equation :
y = -x + 4........so......we can find the intersection of this line with y = x - 6....set both equations equal
-x + 4 = x - 6 add x, 6 to both sides
10 = 2x divide both sides by 2
5 = x
So...using -x + 4, the y value at intersection = -1.......
So...we just need to find the distance from (0,4) to ( 5, -1) =
√[ (5)^2 + (4 + 1)^2 ] = 5√2 ≈ 7.07 units
Here's a pic....AB is the distance with A = (0,4) and B = (5, -1)
Step-by-step explanation:
