Answer:
b = sqrt(39)
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2
5^2 + b^2 = 8^2
25+b^2 =64
b^2 =64-25
b^2 =39
Take the square root of each side
b = sqrt(39)
Answer:
problem 1: h=a/b problem 2: 5
Step-by-step explanation:
First problem: a=bh
First you have to flip the equation so bh=a
Next you have to divide both sides by b.
bh/b=a/b
so h=a/b
Second problem: 45ft is the area and 9ft is the base so to find the height you have to divide the area by the base
If you only have the base and height you would multiply them to find the area. If you only have area and height you divide area by height to get base.
You have to divide 45 by 9, the answer would be 5.
Hope this helped!
Answer:
k = 16 , (4, 0 )
Step-by-step explanation:
Using the discriminant Δ = b² - 4ac
• b² - 4ac = 0 , then 2 real and equal roots
Here
y = x² - 8x + k
with a = 1, b = - 8, c = k , then
b² - 4ac
= (- 8)² - (4 × 1 × k)
= 64 - 4k , and equating to zero
64 - 4k = 0 ( subtract 64 from both sides )
- 4k = - 64 ( divide both sides by - 4 )
k = 16
Then
y = x² - 8x + 16
Equate to zero to find the root
x² - 8x + 16 = 0 ← left side is a perfect square
(x - 4)² = 0
x - 4 = 0 ( add 4 to both sides )
x = 4
The point on the x- axis is (4, 0 )
Answer:
A #1 ( x+2)2 (x-2)2
Step-by-step explanation:
it is the only one that could possibly work
Remember the slope formula is
. So plugging in the coordinates we have
