Hello there! I can help you! So, we are looking for the x and y-intercepts. Let's start off with x. The x-intercept is where the line intersects the x-axis, when y is 0. We will replace y as 0. So the equation becomes 0 = -½x - 3. What we do first is add 3 to each side. -3 + 3 cancels out. 0 + 3 is 3. That leaves 3 = -1/2x. Now, multiply each side by 2 to isolate the x. -1/2 * -2/1 cancels out. 3 * -2 is -6. There. x = -6
Now, we will plug in x as 0 to find the y-intercept. The equation becomes y = -½(0) - 3. We know that anything time 0 is 0. We will combine like terms by subtract 3 from 0 to get -3. There. y = -3. Here are your answers for each.
x-intercept: (-6, 0)
y-intercept: (0, -3)
Answer:
tan θ × sin θ
From trigonometric identities

So we have

We have the final answer as

Hope this helps you
We have been given that the standard deviation of a group of 20 scores is 15 and we are asked to find variance.
Since we know variance is square of standard deviation. In order to find out the variance of the given data we have to take the square of 15.

Therefore, our variance is 225.
1. A. Add 6 to both sides to solve.
2. D. If you simplify the a terms you will get 6 = 7 which is never true.
3. A. Subtract 1.2m from both sides and then divide to solve.
4. B. If you simplify you get 7 = 7 which is always true.
5. D. Distribute the 2 and then add the 24 to both sides. Then divide to solve.
6. A. Simplify the right side and then divide all by two. Then add 16 to both sides and divide by 4.
7. 3y - 2
Answer:
x = 9 (see explanation)
Step-by-step explanation:
Alternate exterior angles are two angles that are congruent to each other:
1. Set the two angles equal to each other: 7x-4 = 6x+5
2. Combine like terms and solve for x: x = 9
Hope this helps!