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 )
The filled in dot means inclusive and the hallow dot means exclusive. For an inequality, inclusive will mean it can be equal to that number as well as being less or greater than. Exclusive means the opposite.
In terms of x, the number line shows that -2 <= x < 2.
Answer:
the answer is 210
Step-by-step explanation:
10×10=20+1=21, 21×10=210
Answer:
true hope it helps?
Step-by-step explanation: