Simple ....
we know to find slope is (y1-y2)/(x1-x2)
if we plug in what we know......
(-8,-6),(2,-3)
(-6--3)/(-8-2)
it turns into...
(-6++3)/(-8+-2)
(-3)/(-10)= 3/10
Thus, your answer is that she made no mistake. (C)
Answer:
B
Step-by-step explanation:
Since x varies directly as y, the ratio of x to y remains the same. Let the value of x when y=4 be a. Then we have
We can cross multiply to get that
Answer:
A. The reflection preserves the side lengths and angles of triangle . The dilation preserves angles but not side lengths.
Step-by-step explanation:
Reflection is a rigid transformation. It preserves both angles and side lengths. Dilation preserves angles, but changes all lengths by the same scale factor.
<h3>Application</h3>
The described triangle was subject to reflection, which preserves angles and lengths. It was also subject to dilation, which preserves angles, but not lengths.
The appropriate description is that of choice A.
Well, we are told that in the beginning, it has traveled 30km vertically, so do not forget to add that on at the end.
Next it says that it traveled 40km 30 degrees from vertical, so we set up a sin equation to solve for the missing side, n:
sin(angle)= opposite/hypotenuse:
sin(30) = n/40
40sin30=n
n=20km
Then it says at an angle of 45 degrees, it goes 100km. This means that we are given the hypotenuse of a right triangle, and we need to find the side that goes up and down. We shall call this length x.
We know that the angle opposite x is 45 degrees.
So, we will use sin to solve for x:
sin(angle)= opposite/hypotenuse
sin45= x/100
100sin45=x
x=70.711km
But remember, I said not to forget about that 30km from the very beginning? So we add up all of our vertical heights:
30km + 20km+ 70.711km = 120.711km
the easiest way is to make the fractions the same, with common denominators.
that means you have to multiply (1/4) by 2, to make it 2/8.
then you can see that she can make 3 total trips, not including driving back home.
