Take two points to find the slope
Let;s take (1, -3) and (-3, -1)
Point slope formula is
m =

or
y₂-y₁ = m×(x₂-x₁) Which is the same thing
m =

=
It can be simplified:
=

Now we found the slope
Same formula:
y₂-y₁ = m × (x₂-x₁)
Substitute the point only (1, -3)
y₂-(-3) =

× (x₂-1)
y₂ + 3 =

× (x₂ - 1) (minus minus = plus)
The last option is the answer
General form for vertex form is:
y = a(x - h)² + k
Where the vertex is the point (h, k). We know this to be (5, -3), so we can substitute the values for h and k to get:
y = a(x - 5)² - 3
We then also have another point (6, 1) that gives us an x and y. Substitute those in to leave one unknown which we can solve for:
1 = a(6 - 5)² - 3
1 = a(1)² - 3
1 = a(1) - 3
1 = a - 3
4 = a
So the equation of this parabola in vertex form is:
y = 4(x - 5)² - 3
can i have brainlist
Answer:
80
Step-by-step explanation:
The ratio can be simplified and rewritten:
minutes : miles = 24 : 3 = 8 : 1 = 80 : 10
It will take Josie 80 minutes to run 10 miles at her 8 minutes/mile pace.
Answer:
It is D.
Step-by-step explanation:
The produce of the number and 10 is 10n.
20 percent of the number = 0.20n.