How many vertices does a triangles have
2 answers:
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Answer:
(5, - 4)
Step-by-step explanation:
Given a quadratic in standard form : ax² + bx + c : a ≠ 0
Then the x- coordinate of the vertex is
= -
x² - 10x + 21 ← is in standard form
with a = 1, b = - 10, so
= -
= 5
Substitute x = 5 into the quadratic for the corresponding value of y
y = 5² - 10(5) + 21 = 25 - 50 + 21 = - 4
vertex = (5, - 4)
Notice the graph, the domain is just the horizontal area "used up" over the x-axis, so, the graph goees from ![\bf -\cfrac{5x}{2}\quad to\quad \cfrac{5x}{2}\implies domain\implies \left[-\cfrac{5x}{2}\ ,\ \cfrac{5x}{2}\right]](https://tex.z-dn.net/?f=%5Cbf%20-%5Ccfrac%7B5x%7D%7B2%7D%5Cquad%20to%5Cquad%20%5Ccfrac%7B5x%7D%7B2%7D%5Cimplies%20domain%5Cimplies%20%5Cleft%5B-%5Ccfrac%7B5x%7D%7B2%7D%5C%20%2C%5C%20%20%20%5Ccfrac%7B5x%7D%7B2%7D%5Cright%5D)
the range is just, the vertical area "used up" over the y-axis, so, the graph goes to 2 and down to -2, thus![\bf range\implies [2\ ,\ -2]](https://tex.z-dn.net/?f=%5Cbf%20range%5Cimplies%20%5B2%5C%20%2C%5C%20-2%5D)
the range is just, the vertical area "used up" over the y-axis, so, the graph goes to 2 and down to -2, thus
Answer:
A and C
Step-by-step explanation:
Both A and C are the same shape, same size, but C is flipped over. If you were to cut out the two shapes and put them over one another, they would be the same. You can also count the blocks that are in the shape itself to see if they match.
The longer side on both has 2.5 blocks in it, the side is two blocks tall, and the smaller line has 1.5 of the block shown.
I'll will implement a sketch to show you what I mean and submit it here. Look at it if you are still confused
I hope this helps!
-No one
