Answer:
y= -11/144(x-8)^2+6
Step-by-step explanation:
This equation can be represented in vertex form, which is:
y=a(x-h)^2+k
If we plug in 8 as h and 6 as k we get the following equation:
y=a(x-8)^2+6
Now we have to plug in x and y. We can use the other point (-4,-5) and plug it into the equation and get:
-5=a(-4-8)^2+6
Once we solve this we get a= -11/144
Now we have to plug in -11/144 into the original equation to get
y = -11/144 (x-8)^2 + 6
Answer:
Terrell drove 200 miles one way
Step-by-step explanation:
Since his trip concluded at 9 hours, let's say that x = time traveled at 40 mph
and 9 - x = time traveled at 50 mph
D = (rate) x (time)
<em>40x = 50(9 - x)</em> -----Use Distributive property on the right side of the equation
<em>40x = 450 - 50x</em><em> </em>-----Add 50x on both sides
<em>90x = 450</em> ------Divide by 90 on both sides
We end up with<em> x = 5 </em>which is the value we need to determine the distance of our first trip, calculated by
<em>D = 40x</em>, or <em>40(5) = 200 mi</em>
6 less a number implies 6 decreased by a certain number
that would be 6-n where n is the number
6 less than a number implies a number decreased by 6
that would be n-6 where n is the number
so they probably don't mean the same thing
Answer:
Area: 48 sq. units
Perim: 28 units
Step-by-step explanation:
The distance between (-4, 3) and (-4,-3) is 6. The distance between (-4,-3) and (4,-3) is 8. So, 6 x 8 is 48, and that is the area.
6, 6, 8, and 8 are the lengths, so add those up to find the perimeter and you get 28.
