I can use the Distance Formula<span> to find the lengths of the each of the sides of the triangle, these lengths being the distances between the pairs of points. Then I can plus these distances into the Theorem to see if this triangle is a right triangle</span>
Answer:
B. g(x)=(x+7)^2-3
Step-by-step explanation:
Vertex form is F(x)= a(x-h)^2+k
a is the reflection
h and k are the vertex (x,y) = (h,k)
in this case there is no shrink or stretch (a)
if it is translating left or right it is "h". In this case it is translated left so its -7. However if you look at vertex form it is "x-h" so -7-7= +7
If it translating up or down it is "K". In this case it is translated down so its -3.
If it was translated up or right then its positive. If it was translated down or left its negative.
After you figure out what h and k are then you just plug it in. h=-7, k=-3
so the answer in vertex form is, g(x)=(x+7)^2-3
Answer:
you need to substitute values on the next form of resolving this problem as follows...
A hose fills up a hot tub at a rate of 3.2 gallons per minute. How many hours will it take to fill a 300 gallon hot tub?
please explain the method of unit conversions as thoroughly as possible.
Solution:
The rate of fill up is, Rate = 3.2 Gallons / minute = 3.2 g/min
The hut tub volume is 300 Gallons
You can set up this problem as follows:
Every 3.2 gallons require 1 minute, How many minutes 300 gallons require?
3.2 g 1min
300 g ? min = (300 gallons x 1min/ 3.2 gallons)=(300/32)min
= 93.75 min
or simply the number minutes is the time required (T) the rate is (R) and the volume is (V)
such that T=V/R= (300g/3.2 g/min)= 93.75 min
You could bake 9 cookies in 3 min. 5/15 us equal to 1/3 and 3/9 is equal to 1/3 as well.
