Answer:
y-intercept: (0, 5)
Step-by-step explanation:
This parabola has an equation of -x² + 4x + 5.
It's y-intercept is (0, 5).
It's x-intercepts or roots are (-1, 0) and (5, 0).
It's vertex is (2, 9).
___________________________________
Keep in mind that the y-intercept is when x = 0.
Answer:
Step-by-step explanation:
The answer is 5 :)
Answer:
2√5
Step-by-step explanation:
d = √(x2 - x1)² + (y2 - y1)²
= √[1 - (-1)]² + [3 - (-1)]
= √(2)² + (4)²
= √(4) + (16)
= √20
= 2√5
Answer:
Q= 6x+1
R= -7x+1
Step-by-step explanation:
We can factor this by using grouping. Take the leading coefficient and multiply it by the constant. In this case we get 5*-7 = -35.
Now we need 2 numbers that add to 2 and multiply to be -35. The numbers are -5 and 7.
So split the 2r into these two terms and group.
(5r^2 - 5r) + (7r - 7)
Factor both groups.
5r(r-1) + 7(r-1)
The factors of (r-1) can be added together to get the answer.
(r-1)(5r+7)