Check the picture below.
so if we just find its vertex, we know how many feet it went up by its y-coordinate.
![\bf h=64t-32t^2\implies h=-32t^2+64t+0 \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=%5Cbf%20h%3D64t-32t%5E2%5Cimplies%20h%3D-32t%5E2%2B64t%2B0%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill)
"Rate of change" is another name for "slope".
In the table, every time 'x' increases by 2, 'y' also increases by 2.
So the rate of change (slope) of the function in the table is
(change in 'y') / (change in 'x') = 2/2 = 1 .
The rate of change (slope) in the function y = x + 4 is
the coefficient (number before) the 'x'. That's also ' 1 '.
So t<span>he rate of change in the function y = x + 4 is the same as (equal to)
the rate of change of the function represented in the table.</span>
Answer:
x=25
Step-by-step explanation:
because of vertical angles theorem you set them equal to each other
4x+50=150
subtract 50 from both sides
4x=100
devide by 4 on both sides
x=25
Answer:
the SSS similarity theorem
Step-by-step explanation:
⇒ It cannot be the SAA similarity theorem as they only share a single common angle
⇒ It cannot be the HL similarity theorem, as the sides are not equal
⇒ It must be the SSS triangles
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<h3>What is the SSS similarity theorem?</h3>
It states that :
If the lengths of the corresponding sides of two triangles are proportional, then the two triangles are similar.
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Let's take the sides in proportion :
⇒ 15/5 = 3 (Hypotenuses)
⇒ 6+3/3 = 9/3 = 3 (Heights)
⇒ 8+4/4 = 12/4 = 3 (Bases)
As the sides are in proportion, the triangles are similar by the SSS similarity theorem.
