For this case we can use the law of the sine to solve the problem.
We have then:

From here, we clear the value of x.
We have then:

Rewriting we have:
Answer:
The angle R is given by:
x = 68 degrees
option B
Given two points (x₁,y₁) and (x₂,y₂)the slope passes through these points will be:
m=(y₂-y₁)/(x₂-x₁)
In this case the slope will be:
(7,-8)
(-4,6)
m=(6+8)/(-4-7)=14/-11=-14/11
point-slope form of a line: we need a point (x₀,y₀) and the slope (m).
y-y₀=m(x-x₀)
In this case, we know the slope (m=-14/11), and we can choose either of two points. The line will be the same.
(-4,6)
m=-14/11
y-y₀=m(x-x₀)
y-6=-14/11(x+4) ⇒ (point-slope form)
<span>Answer: D. y-6=-14/11(x+4)</span>
Answer:
.
Step-by-step explanation:
The given circle has equation
.
This is the equation that has its center at the origin with radius 4 units.
When this circle is translated seven units to the right and five units up, then the center of the circle will now be at (7,5).
The equation of a circle with center (h,k) and radius r units is
.
This implies that, the translated circle will now have equation.
.
.
Fine the length BC using the cosine law. Google the law and sub it in