Answer:
y=-(1)/(2)x-5
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
Answer:
The maximum height of the marshmallow is 49 feet.
Step-by-step explanation:
The vertex form of a parabola is
.... (1)
Where, (h,k) is vertex of the parabola is a is constant.
The given function is
..... (2)
Where, h is height of the marshmallow (in feet) and t is the time (in seconds) after he throws the marshmallow.
From equation (1) and (2), we get

The value of a is -16, which is less than 0. So, the given function is a downward parabola.
The vertex of a downward parabola is the point of maxima.
The value of h is 14 and the value of k is 49. So, the vertex of the parabola is (14,49). It means the maximum height of the marshmallow is 49 feet in 14 seconds.
Therefore the maximum height of the marshmallow is 49 feet.
Answer:
Total surface area = 132 square feet
Step-by-step explanation:
Surface area of the triangular prism = Area of the triangular bases + Area of the lateral rectangular sides
Area of the triangular surface = 
= 
= 10 square feet
Area of the rectangular side with dimensions 5ft by 7ft,
Area = 5 × 7 = 35 square feet
Area of the rectangular side with dimensions 7ft by 4ft,
Area = 7 × 4 = 28 square feet
Area of the rectangular side with dimensions 7ft by 7ft,
Area = 7 × 7 = 49 square feet
Total surface area = 2(10) + 35 + 28 + 49
= 132 square feet
Answer:
its 3
so its
(4x+4)^2-2(4x+4)-5
so first you have to do
(4x+4)(4x+4)
the answer is 16x^2+32x+16
and then you do -2(4x+4) and then you add them so then its
16x^2+32x+16-8x-8-5
and then you just add like terms so its
16x^2+24x+3
and then you insert 0 for x
so the answer is 3
Step-by-step explanation: