20 and 10 are the numbers that multiply by each other to make 200
Answer:
50.27in
Step-by-step explanation:
Given data
Diameter of small tire= 13in
Radius= 13/2= 6.5in
Circumference= 2πr
C= 2*3.142*6.5
C= 40.85 in
Diameter of Big tire= 29in
Radius= 29/2= 14.5in
Circumference= 2πr
C= 2*3.142*14.5
C= 91.118in
Hence the difference in distance between the two tires after on revolution is
=91.118-40.85
=50.27in
Answer:
76 cm
Step-by-step explanation:
P=2L+2w
324=2(86)+2w
324=172+2w
324-172=2w
2w=152
w=152/2
w=76 cm
Answer:
see below
Step-by-step explanation:
f(x) = −16x^2 + 24x + 16
Set equal to zero to find the x intercepts
0 = −16x^2 + 24x + 16
Factor out -8
0 = -8(2x^2 -3x-2)
Factor
0 = -8(2x +1) (x-2)
Using the zero product property
2x+1 =0 x-2 =0
x = -1/2 x=2
The x intercepts are -1/2 ,2
Since the coefficient of x^2 is negative the graph will open down and the vertex will be a maximum
The x value of the maximum is 1/2 way between the zeros
(-1/2+2) /2 = 1.5/2 =.75
To find the y value substitute into the function
f(.75) = -8(2x +1) (x-2)
=-8(2*.75+1) (.75-2)
= -8(2.5)(-1.25)
=25
The vertex is at (.75, 25)
We have the zeros, and the vertex. We know the graph is symmetrical about the vertex