Answer:
(5,6)
Step-by-step explanation:
-6x+6y=6
-6x + 3y =-12
Multiply the first equation by -1
6x-6y=-6
Add this to the second equation
6x-6y=-6
-6x + 3y =-12
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-3y = -18
Divide each side by -3
-3y/-3 = -18/-3
y =6
Now we need to find x
6x - 6y = -6
6x -6(6) = -6
6x -36 = -6
Add 36 to each side
6x-36+36 = -6+36
6x = 30
Divide each side by 6
6x/6 = 30/6
x =5
First Question
circumference = pi * diameter
diameter = circumference/pi = 94.2 in./3.14 = 30 in.
The wheels have a 30-inch diameter.
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Second question
The area of a circle: area = pi * r^2
radius = diameter/2 = 94.2 in./2 = 47.1 in.
area = pi * r^2 = 3.14 * 47.1 in. * 47.1 in. = 6966 in.^2
Answer: 6966 in.^2
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Third question
The piece of felt has a width equal to the diameter of the wheel. The length has to be the same as 4 diameters.
4 * 94.2 in. = 376.8 in.
Answer: 376.8 in.
Answer:
none
Step-by-step explanation:
110 + 60 = 170
but 170 is obviously not 180 sooo none will be 60 degrees
Answer:
48 questions.
Step-by-step explanation:
x is for the unknown variable, the number you are trying to figure out.
12= 25%x
if you convert to a fraction, 12 is 1/4 of x. if you then multiply your answer by 4, 12 is 25% of 48.
to figure this out you can also ask, 12 is 25% of what number?
Answer:
21/4
Step-by-step explanation:
21 y = -4x Divide 21 on both sides
y = -4/21x Slope is -4/21
Perpendictulare lines have a slope that are the negative inverses of eachother, so flip the 4 and the 21 and make it positve instead of negative
