Answer:
Yes, 4 + -4 = 0.
Think of it like a number line: The number four is 4 units to the right of the center which is 0, and the number negative four is 4 units to the left of the center. When you add them together, those distances cancel out, and you just get 0.
Answer:
Option 2
Step-by-step explanation:
To find the sine of F, we have to find the length of the hypotenuse which is 2√13 from the Pythagorean Theorem. Then, sinF = opposite side / hypotenuse = 4 / 2√13 = 4√13 / 26 = 2√13 / 13. Hope this helps!
First reduce the fraction so your equation looks like this:
2/27=x/36
Now cross multiply to simplify
72=27x
Now change sides
27x=72
Now divide both sides by 27
X= 8/3
Now you are left with your answer:
x= 8/3
Hope this helps! :3
Answer:
4) y = 9
5) x = -1
6) y = -5x − 9
Step-by-step explanation:
4) x = 3 is a vertical line with an x-intercept of (3, 0). It has an undefined slope.
A perpendicular line to that will be y = a, which is a horizontal line with a y-intercept of (0, a) and a slope of 0. Since this line passes through (3, 9), the equation of the line must be y = 9.
5) The y-axis is x = 0. A parallel line that includes the point (-1, -2) is x = -1.
6) Parallel lines have the same slope, so:
y = -5x + b
To find the value of b (the y-intercept), plug in the point (-2, 1):
1 = -5(-2) + b
1 = 10 + b
b = -9
y = -5x − 9
