F(x)=-5t^2+20t+60
Divide everything by -5
f(x)=t^2-4t-12
(t-6)(t+2)
Set it up to zero
t-6=0. t+2=0
t=6. t=-2
Since you can’t have negative seconds, the answer is 6 seconds
Answer:
The corresponding segments AB and DC in the image are parallel.
Step-by-step:
It already tells us that segment QR is parallel to segment TS. So now the only segments left are segments AB and DC. Now look at segments AB and DC, do they look parallel? Yes, they do.
And that's how I got my answer. Even further, I took the test and got it right.
Your welcome. ;)
Answer:
Width = 18, height = 3
Or
Width = 6, height = 9
Step-by-step explanation:
Complete question
( A piece of sheet metal 24 inches wide is bent to form a gutter as shown in the picture below, if the cross sectional area is 54 square inches, find the depth of the gutter).
X = width, Y = height
X - 2y = 24........ equation i
X = 24 - 2y.......... equation ii
Area = xy
54 = xy........ equation iii
Put equation ii into equation iii
54 = (24 - 2y) * y
54 = 24y - 2y²
2y² - 24y + 54 = 0........ equation iv
Solving equation iv using quadratic methods,
Factors = (y-3), (y-9)
(Y-3)(y-9) = 0
y = 3 or y = 9
Substitute y = 3 or y = 9 into equation ii
X = 24 -2(3) = 18 or x = 24 - 2(9) = 6
If Width = 18, height = 3
Or
Width = 6, height = 9
Answer:
valid
Step-by-step explanation:
it's valid because for example here are some even numbers, 0, 2, 4, 6, 8, they're are all multiples of four.
hope that helped :)
mark me brainliest pls
First you have to plug in your information into the formula- y=mx+b
So we know the y is 2, the slope (m) is 1/2, the x is 2 and we don't know the b. Do plug it in the formula and solve... you should get 2=1/2(2)+b you will end up with 1=b and the final answer is y=1/2x+1
