Step-by-step explanation:
12. Cos 60° = 8/c
0,5 = 8/c
0,5 c = 8
c = 16
D² = V16²-8²
= V256-64
=V192 = V16×12 = 4V12
= 4V4×3 = 8V3
13. Cos 30° = 6/b
V3/2 = 6/b
V3 b = 12
b = 12/V3
b/Sin B = a /sin A
b/Sin90° = 6/ sin 60°
<u>b</u> = <u> </u><u> </u><u> </u><u>6</u><u> </u><u> </u><u> </u>
1 V3/2
b× <u>V3</u> = 6
2
b = 6× 2/V3
= 12/V3
You need to find the change in x and y
change in x = 12
change in y = 16
to find the distance you use a^2+ b^2 = c^2
or in this case x^2 + y^2 = d^2
144+256 = 400

=20
so distance equals 20
I hope this helps!
Answer:
y=5/3x-3
Step-by-step explanation:
first, let's put 3x+5y=15 into y=mx+b form
move 3x to the other side
5y=-3x+15
divide by 5
y=-3/5x+3
now, perendicular lines have slopes that are negative and reciprocal.
With our new equation we can automatically find the slope, which would be 5/3.
now, we need to find b
plug the points (3,2) into y=5/3x+b
2=5/3(3)+b
2=5+b
-3=b
so that means that our equation will now be
y=5/3x-3.
Hope this helps!
Answer:
the answer is the last one
Step-by-step explanation: