Answer:
b
Step-by-step explanation:
The circumference of a circle is <span>πd
You know the circumference of the rim of the wheel is 48 inches so to find the diameter (d) you divide 48/3.14 which gives you 15.29 inches.
As the spoke goes from the center to its rim, it it is the radius, which is half of the diameter.
15.29/2 is B) 7.64 inches.</span>
Answer:
21 yards
Step-by-step explanation:
12 + 8 = 20
2/3 + 1/3 = 1
20 + 1 = 21 yards of gold ribbon
Answer:
see below
Step-by-step explanation:
x=y+3
Subtract 3 from each side
x-3 = y
y = x-3
y=-4x-3
We have both equations in slope intercept form
y = mx +b where m is the slope and b is the y intercept
graph is below
They both have the same y intercept so they intersect at (0,-3)
Substitution
x=y+3
y=-4x-3
Substitute the second equation into the first equation
x=y+3
x = -4x-3 +3
x = -4x
Add 4x to each side
5x =0
x=0
y = -4x-3
y = 0-3
y = -3
(0,-3)
Additon
x=y+3
Subtract y from each side
x-y = 3
y=-4x-3
Add 4x to each side
4x+y =-3
Add the equations together to eliminate y
x-y = 3
4x+y =-3
-----------------
5x +0y =0
5x = 0
x=0
Now solve for y
y = -4x-3
y = 0-3
y = -3
(0,-3)