Answer:
6.2 units.
Step-by-step explanation:
We are given two angles and an opposite corresponding side. To solve for an unknown side, we can use the law of sines.
Cross multiplying and solving will get you this:
Which can simplify to:
Which putting into a calculator gets you:
So the line PR is 6.2 units long.
Distribute.
(a + 8)(a -3)
FOIL:
First, Outside, Inside, and Last
a * a = a^2
a * 3 = 3a
8 * a = 8a
8 * -3 = - 24
a^2 + 11a - 24
Distributed Expression: a^2 + 11a - 24
Answer:
1/4
Step-by-step explanation:
1/6 + 1/12 = 1/4
Answer:
(a) Orthogonal, (b) Neither, (c) Parallel, d( Orthogonal
Step-by-step explanation:
a and b are parallel is a=kb
a and b if a dot b = 0
(a) a dot b = (9)(-4)+6(6)=-36+36=0
a and b are orthogonal
(b) a dot b = 40-7-21=12
a=kb -> there is no k value satisfying the equation
a and b are neither parallel or orthogonal
(c) a dot b = -12-108-48=-168
a=kb -> k=-3/4 satisfies the equation
a and b are parallel
(d) a dot b= 9-3-6=0
a and b are orthogonal
