Answer:
36 miles
Step-by-step explanation:
His entire journey, represented with a diagram, is in the shape of a right angle triangle.
We need to first find the hypotenuse of the triangle, then, add all the sides together:
hyp² = opp² + adj²
hyp² = 9² + 12²
hyp² = 81 + 144 = 225
Find the square root of both sides:
hyp = 15 miles
Therefore, adding the three sides together:
Total distance traveled = 9 + 12 + 15
Total distance traveled = 36 miles
He would ride 36 miles altogether.
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Step-by-step explanation:
Look at the photo below for the answer.
:)
Answer:
2/3 (0,-3) is one possible answer.
Step-by-step explanation:
y -1 = 2/3(x-6) We want to get this into the slope intercept form of a line. We want it to be in the form y = mx + b. Let's clear the fraction first by multiplying the whole equation through by 3.
3(y - 1) = 3[2/3(x - 6)]
3y -3 = 2(x -6)
3y - 3 = 2x -12
3y = 2x - 9 Now divide all the way through by 3 to get
y = 2/3x - 3
y = mx + b. The m part is the slope. In this equation the slope is 2/3
There are in infinite amount of points on a line. I do not know if they give you a picture or if you are just to create your own. I am going to create a point that have x = 0. I get to pick the point. I could pick any number. 0 is just usually really easy. So, if I substitute 0 for x I will get:
y = 2/3(0) - 3
y = 1 so my point is (0,-3)
Now that I think about it, I do not think that I would start out clearing the fraction even though it works. I think that I would do it like this"
y - 1 = 2/3(x - 6) Distribute the 2/3 through (x - 4) to get
y-1 = 2/3x -4 I can make -6 a fraction by putting it over 1. Now we have 2/3(-6/1) multiply across to get -12/3. A positive times a negative is a negative. -12 divided by 3 is -4.
y - 1 = 2/3x -4 now add 1 to both sides.
y = 2/3x -3
This is not correct. You might think you are "on a roll" but the probability of heads on any toss is just as likely as the probability of tails because each coin toss is an independent event, meaning, two events related in such a way that knowing about the occurrence of one event has no effect on the probability of the the other event. This would hold true if you have tossed these 15 heads and you believe that tails "are due". It is an independent event.
