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Step-by-step explanation:
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Answer:
Step-by-step explanation:
If 3⁄4 gallons of water come out of a hose in 15 minutes, to calculate the rate of water that comes out in an hour (60 minutes), we will use the expression;
3/4 gallons = 15 minutes
x gallons = 60minutes
cross multiply
15x = 3/4 * 60
15x = 180/4
15x = 45
x = 45/15
x = 3/1
x = 3:1
Hence the water rate in gallons per hour is 3 gallons per hour
M<UWV =180- 99 -36= 45
45 = 1/2(94+20- arcUV)
45=57 - arcUV/2
arcUV / 2 = 57-45
arcUV / 2 =12
arcUV = 12(2)
arcUV = 24
answer is B. 24
To find the equation of a line using two coordinate points, use the slope intercept formula, (y2-y1)/(x2-x1). Using this formula, plug in your values from the two coordinates (-5, -5) and (1, -3). This would look like this:
(-3-(-5))/(1-(-5))
When simplified, you should get 2/6 or 1/3 as your slope or m value. Now that you have your slope, now use your slope intercept equation y=mx+b and plug in your known values. Since you know the m value is 1/3 and you can use one of your set of points to plug into the x and y values, you can plug in these values and solve for b (the coordinate you use doesn't matter but I'm just using the (1,-3)). This would look like this:
-3=1/3(1)+b
When you simplify, you should get -3=1/3+b and when you subtract both sides by 1/3, you should get b=-10/3.
Now that you have your m and b values, you can conclude that your equation for the line would be y=1/3x-10/3
