6 = -2b (cancel -2b on both sides)
6/-2 = b (divide both sides by -2)
-3 = b (simplify 6/2 to 3)
now switch sides
Answer: b = -3
Answer: The answer is 2.
All they're doing is multiplying by 2.
Answer: y=-6
Step-by-step explanation:
First convert the equation -2y= 8 into y intercept form by divide both sides by -2.
-2y = 8
y= -4 Now that the line is in y intercept form we can now determine the slope.The slope is 0 so -4 in this case is the y intercept.
Remember lines that a parallel needs to have the same slope but different y-intercepts.
So if the slope of the line y=-4 is 0 then the slope of line that passes through the point (2,-6)
So using the y intercept form formula which says that y=mx+b where m is the slope and b is the y-intercept, we could plot in the values for y and x and solve for b to write the equation.
y is -6 and x is 2
-6 = 0(2) + b
-6 = 0 + b
b= -6
In this case the y intercept is -6 so since the slope is zero we will have the equation y = -6
<h3>
Answer: 79 full rotations</h3>
====================================================
Explanation:
150 cm = 150/100 = 1.5 m
The wheel has a diameter of 1.5 meters
The circumference of the wheel is
C = pi*d
C = pi*1.5
C = 1.5pi
C = 4.71238898038469
I'm using my calculator's stored version of pi to get the most accuracy.
Then we divide the 376.8 over the circumference found
(376.8)/(4.71238898038469) = 79.9594434093682
Despite being very close to 80, we must round down to 79 because we don't have enough to get that full 80th rotation. In other words, we have 79 full rotations and then some change leftover.
Though for the sake of simplicity, I can see how it's useful to say "about 80 rotations" if 79 seems a bit clunky. I'll stick with 79 however. Let me know if your teacher instructs otherwise.
