Answer:
c
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Let's draw a picture (see attachment).
We know that since our point is (-5, -12), it must pass in the third quadrant. Now, if we drop a perpendicular line from the point (-5, -12) to the x-axis, we have a right triangle. Notice that we already know the two leg lengths of this: -5 and -12.
Cosine is adjacent / hypotenuse. Here, the adjacent side to the angle θ is -5. We need to find the hypotenuse, which we can do so by using the Pythagorean Theorem:
c² = a² + b²
c² = (-5)² + (-12)²
c² = 25 + 144 = 169
c = 13
So, the hypotenuse is 13. Now, plug these values in:
cos(θ) = adjacent / hypotenuse = -5/13
The answer is D.
Divide 315,530,612 by 3,539,225 to get 89 people per square mile (rounded)
The equivalent expression is -12y + 48 or -12(y - 4) or 12(-y + 4)
<em><u>Solution:</u></em>
Given that we have to simplify to create an equivalent expression
<em><u>Given expression is:</u></em>
6(7 – 3y) + 6(y + 1)
Remove the parenthesis by multiplying terms inside the bracket with constant outside the bracket
Combine the like terms
Add the constants
Thus the equivalent expression is -12y + 48 or -12(y - 4) or 12(-y + 4)
Answer:
A
Step-by-step explanation:
The point slope form of the equation is where m is the slope and is a point on the line.
First find the slope by subtracting two points from the line.
To write the equation substitute in:
The answer is A.