![8t^{2}](https://tex.z-dn.net/?f=%208t%5E%7B2%7D%20)
isn't like any of the other terms because it is being raised to the second power, so you can leave it alone.
-2t + 5t are like terms because they are both coefficients with the variable t. You can combine these to get 3t.
The only term left is -4, so that will remain the same.
Now, you can combine all of these terms to get
+ 3t - 4.
We have that
<span>Point R is located at (–1, 3), and point S is located at (3, 1)
we know that
</span>the perpendicular bisector of RS <span>go through the midpoint of RS
step 1
find the midpoint RS
midpoint M (Mx,My)
Mx=(x1+x2)/2
My=(y1+y2)/2
Mx=(-1+3)/2------> Mx=1
My=(3+1)/2-------> My=2
the midpoint M is (1,2)
step 2
find the slope RS
m=(y2-y1)/(x2-x1)-------> </span>m=(1-3)/(3+1)-----> m=-2/4-----> m=-1/2
we know that two lines are perpendicular if the slopes
m1*m2=-1
step 3
find the slope of <span>the perpendicular bisector of RS
</span>m2=-1/m1------> m2=2
step 4
with m=2 and the midpoint M (1,2) find the equation of a line
y-y1=m*(x-x1)------> y-2=2*(x-1)----> y=2x-2+2-----> y=2x
the answer isy=2x
see the attached figure
Answer:
x = 15
Step-by-step explanation:
MN:RS
18:30
MQ:RU
Known:Known
QP:TU
15:Known
NP:ST
x:25
18/30 = x/25
30x = 18*25
30x = 450
x = 15