Answer: The rocket will reach its max after 4 seconds
Step-by-step explanation:
Hi, to find the maximum height, we have to set the first derivative of the equation equal to zero.
y=-16x^2+128x+136
0 = (2)-16x +128
0= -32x+128
Solving for x:
32x = 128
x = 128/32
x = 4 seconds
The rocket will reach its max after 4 seconds
Feel free to ask for more if needed or if you did not understand something.
Answer:
The domain is all real numbers except x=3
Step-by-step explanation:
Assuming you mean
f(x) = 1/(x-3)
The domain is all numbers that x can take
This function is define except when the denominator goes to zero
x-3 cannot be zero
x cannot be 3
The domain is all real numbers except x=3
9514 1404 393
Answer:
x = 2
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relations between trig functions and angle.
Tan = Opposite/Adjacent
tan(θ) = y/x
Sin = Opposite/Hypotenuse
sin(θ) = y/4
The given relation is ...
tan(θ) = 2·sin(θ)
y/x = 2(y/4)
2 = x . . . . . . . multiply by (2x/y)
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<em>Additional comment</em>
Then the angle can be found from the relation ...
Cos = Adjacent/Hypotenuse
cos(θ) = x/4 = 2/4 = 1/2
θ = arccos(1/2) = 60°
and the value of y is ...
y = 4·sin(60°) = 2√3
Answer:
Considering each Y level the line lowers by 1 unit, the answer would be <em><u>-1</u></em>.
W= width= L+5
L= length
Area= 204
Area= LW
204 square yards= LW
substitute w=L+5 for w
204= (L)(L+5)
204= L^2 + 5L
subtract 204 from both sides
0= L^2 + 5L - 204
factor
0= (L+17)(L-12)
0= L+17
-17= L
0= L-12
12 yards= L
WIDTH
Since the area cannot be a negative number, we'll use L=12 to find the width.
w=L+5
w=12+5
w=17 yards
CHECK:
204=(12)(17)
204=204
ANSWER: The length is 12 yards and the width is 17 yards.
Hope this helps! :)
