Answer:
r = 5
Step-by-step explanation:
To solve for r, plug in the change in x values and change in y values, since the hypotenuse is simply the diagonal of both the y-coordinate and x-coordinates shown via drawing legs on the vertical and horizontal axis. So, since (0,0) is the initial point, r = sqr[(-4-0)^2 + (-3-0)^2 = sqr(16 + 9) = 5.
Now, the angle theta is the angle in which the sine, cosine, and tangent ratios are found. Simply use opposite over hypotenuse for sine, adjacent over hypotenuse for cosine, and opposite over adjacent for tangent using theta as the angle in which these values are obtained.
Question:
2x + y = 3, x - 2y = –1.
If equation one is multiplied by 2 and then the equations are added, the result is _____.
(A) 3x = 2
(B) 3x = 5
(C) 5x = 5
Answer:
Option C:
5x = 5
Solution:
Given equations are
2x + y = 3 – – – – (1)
x – 2y = –1 – – – – (2)
Let us first multiply equation (1) by 2, we get
(1) × 2 ⇒ 4x + 2y = 6 – – – – (3)
Now, add equation (3) to equation (2).
⇒ x – 2y + 4x + 2y = –1 + 6
Combine like terms together.
⇒ x + 4x – 2y + 2y = –1 + 6
⇒ 5x = 5
So, if equation one is multiplied by 2 and then the equations are added, the result is 5x = 5.
The intersecting arcs are created and connected.
If it is a straight line going across then the slope is 0.
