A line passes through the points (8, 1) and (6, 7). What is the slope of the line? Answer choices: A)-3 B) -1/3 C) 1/3 D)3
1 answer:
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Answer:
For the first one
x= About 32.02
y= About 27.58
z= About 55.16
For the second one
x= 6
y= 12
z= about 16.97
Step-by-step explanation:
Their all really simple
These are special right triangles, a 45, 45, 90 and a 30, 60, 90 triangle. The formla for these triangles are shown in the picture below.
Now for the first one ]
Lets find Z first
Now this is a 45 special right triangle so we know the other side s 39 but the hypotenuse is n (I’m using N becuase x and y is taken) So n is basically 39 (look at the image below) and just solve that. Now for x and y. We know its a 30, special right triangle. We know that 39 here is already the answer for N
so make an equation to find the n and you’ll get 27.58 for y. Now For x, its just doubled the y.
For the second one this is easier
We know that the x is (6) becuase its already in the radical number, now to find the hypotnuse, we double that and get 12. Now we know what y is becuase since the 2nd triangle is a 45/45/90, we know that 12 is y, the hypotnuse is just N and we just plug in the n with 12 and solve it!
