Answer:
Option d.
y2-y1/X2-X1
Step-by-step explanation:
I hope it helped U
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For part a: you just need to find how far the vertex has been moved from the origin, or the point (0,0). As the vertex is at the point (2,-3), it has been translated right 2 horizontally and down 3 vertically.
For part b: you use the info found in part a to create the equation in the form of y=A(x-h)^2+k. In this case, A =1, so you can ignore it. The h value is the horizontal distance the vertex has been moved. Since it has been moved right 2, this part of the equation would be (x-2). I know it seems like it should be plus 2, but values in parentheses come out opposite. For the k value, find the vertical shift, which is down3, or -3.
Now that you have h and k, substitute them back into the equation.
Your final answer for part b is: y=(x-2)^2 -3.
Answer:
84ways
Step-by-step explanation:
This is a problem on combination. Combination has to do with selection. For example if r objects are to be selected from a pool of n objects, this can be done in nCr ways.
nCr = n!/(n-r)!r!
9C3= 9!/(9-3)!3!
9C3= 9!/(6)!3*2*1
9C3= 9*8*7*6!/(6)!6
9C3= 9*8*7*/6
9C3= 9*8*7*/6
9C3= 504/6
9C3= 84ways
Answer:
A)
Step-by-step explanation:
the top one
Answer:
15a² + 21a + 19 = 0
Step-by-step explanation:
Given
(4a + 3)² = (a + 5)(a - 2)
(4a + 3)(4a + 3) = (a + 5)(a - 2 ) ← expand both sides using FOIL
16a² + 24a + 9 = a² + 3a - 10 ( subtract a² + 3a - 10 from both sides )
16a² - a² + 24a - 3a + 9 + 10 = 0 ← collect like terms
15a² + 21a + 19 = 0
