Answer:
The equation of the Parallel line passes through the point (-1,4) is
y = -5 x -1
Step-by-step explanation:
<u><em>Explanation</em></u>:-
Given the equation of the line y = -5 x + 2
Given point (-1 , 4 )
The equation of the parallel line of a given line is 5x + y +k=0 ...(i)
The equation (i) passes through the point (-1,4)
5(-1)+4+k=0
-5 +4 +k =0
-1 + k = 0
k = 1
<em>The equation of the Parallel line passes through the point (-1,4) is </em>
<em> y = -5 x -1</em>
Consider for a moment building a tree with all possible choices. The first row would contain 8 books (each possible choice for the first book). Then, the second row would contain 7 books for each book in the first row (the choices possible for the second book). Otherwise, it would be 8*7. Following this principal, we continue to multiply down to 1. 8*7*6*5*4*3*2*1. This is also known as 8!, a factorial.
Finally, 8! = 40,320
The answers 15.
Explanation: you can’t evenly divide the other option choices
Answer:
4. 158
Step-by-step explanation:
First let's make things a little simpler and put these arcs in terms of x. We know that the degree measure around the outside of a circle, regardless of its size, is 360. So let's say that arc BC is x. That means that arc BDC is 360 - x. This is because arc BC + arc BDC = 360. Substituting in our x's we have:
x + 360 - x = 360 and
360 = 360. (That's just the proof that putting in our x's as we did does in fact work!)
Following the formula then, we have
and

Multiply both sides by 2 to get rid of the fraction and get
44 = 360 - 2x
Subtract 360 rom both sides to get
-316 = -2x
Divide both sides by -2 to get that x = 158
Since we are looking for arc BC and we designated arc BC as our x, that means that arc BC = 158.
Answer:

Step-by-step explanation:
Given: 
To find: solutions of the given equation
Solution:

Write 
Therefore,

So, solutions of the given equation are
and
.