Answer:
x = 1/4
Step-by-step explanation:
<u>Calculations:</u>
Answer:
Step-by-step explanation: This is the quadratic function:
h(x)=ax²+bx+c
We have two points:
(1,58)
(2,112)
Now, we calculate this quadratic funtion.
we assume that h(0)=0
Therefore:
a(0)²+b(0)+c=0
c=0
(1,58)
a(1)²+b(1)=58
a+b=58 (1)
(2,112)
a(2)²+b(2)=112
4a+2b=112
2a+b=56 (1)
With the equations (1) and (2) we make a system of equations:
a+b=58
2a+b=56
we can solve this system of equations by reduction method.
-(a+b=58)
2a+b=56
---------------------
a=-2
-2(a+b=58)
2a+b=56
-------------------
-b=-60 ⇒ b=60
The function is:
h(x)=ax²+bx+c
h(x)=-2x²+60x
Now find the height, in feet, of the rock after 10 seconds in the air.
h(10)=-2(10)²+60(10)
h(10)=-200+600=400
Answer: 400 ft.
Answer: 238.95 in²
because this is a regular pentagon
=> the area of the regular pentagon will be 5 times the area of the triangle in the picture.
we have: the area of the triangle is: (11,8.8,1)/2 = 47,79 (in²)
=> the area of the regular pentagon is 5. 47,79 = 238,95 (in²)
Step-by-step explanation:
Answer:
22738.96
Step-by-step explanation:
119.5% x 19028.42=
22738.9619
now rounded to 2 d.p is 22738.96
