Answer:
2x + y = 26
Step-by-step explanation:
The standard form of a linear equation is
A
x + By = C.
Simplify -2(x - 8)
Multiply -2 by -8
y - 10 = -2x + 16
2x + y - 10 = 16
Add 10 to both sides.
Add 16 and 10
Answer= 2x + y = 26
There is a pattern of -2, -6, so the next number is 20.
Answer:
see below
Step-by-step explanation:
First we need to find the radius
r =d/2 = 15.8/2 = 7.9 cm
The area of a circle is given by
A = pi r^2
= pi ( 7.9) ^2
=62.41 pi
Using 3.14 for pi
195.9674
To the nearest hundredth
195.97
Using the pi button
196.0667975
To the nearest hundredth
196.07
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
A = consecutive interior
b= alternate exterior
c= consecutive exterior
d= alternate interior
e= corresponding
f= none
g= consecutive exterior
h= corresponding
i= alternate exterior
j= consecutive exterior
k=corresponding
l= alternate exterior
m= alternate interior
n= consecutive interior
