To answer this question you will need to know how many inches the car travels Per minute.
1. To find this out you will first divide 45 miles by 60 to get the number of miles per minute.
The convertible travels 0.75 mi./min.
2. Next you will convert this number of miles to inches.
There are 63,360 inches per mile.
0.75 x 63360 = 47520 inches per minute.
3. You then need to find the distance the wheel travels in one rotation. You will need to find the circumference of the wheel.
C = pi x d
3.14 x 48
C = 150.72 inches
Each rotation is about 150.72 inches.
4. Finally, divide the total distance traveled in a minute by the circumference(distance of one rotation) to get the total number of rotations in a minute.
47520/150.72 is about 315.3 rotations per minute.
Answer:
a. (2,5)
b. (14,15.5)
Step-by-step explanation:
a.
y=4x-3
y=-2x+9
Set both equations equal to each other to solve for x.
4x-3=-2x+9
6x=12
x=2
Plug in x to solve for y.
y=4x-3
y=4(2)-3
y=8-3
y=5
(2,5)
b.
y=(5/4x)-2
y=(-1/4x)+19
Set both equations equal to each other to solve for x.
(5/4x)-2=(-1/4x)+19
4((5/4x)-2=(-1/4x)+19)
5x-8=-x+76
6x=84
x=14
Plug in x to solve for y.
y=(5/4x)-2
y=(5/4(14))-2
y=17.5-2
y=15.5
(14,15.5)
Answer:
1.107cm 2. 112 cm
Step-by-step explanation:
your welcome
Given parameters:
Coordinates of end points = (2, -3) and (-6,5).
Slope of line = 
Unknown:
Equation of the line with the given slope = ?
Solution:
Let us find the coordinates of the mid-point of the line given.
Since the end points are (2, -3) and (-6,5);
Midpoint;
x, y =
,
x, y =
,
= -2 , 1
The coordinate of the mid point = -2,1
Equation of a line is;
y = mx + c
x and y are the coordinates
m is the slope
c is the y intercept
We need to find c in order to fully develop our equation;
y = mx + c
y = 1 , x = -2 and m = 
So,
1 =
x (-2) + c
c = 1 +
= 
Now, the equation of the line is;
y = -2x +
Multiply through by 7,
7y = -14x + 25
The equation of the line is 7y = -14x + 25
Answer:
544
Step-by-step explanation: