Answer:
The answer to your question is: D = non of the above
Step-by-step explanation:
Data
-4x - 4y = -5 (I)
x - 2y = 1 (II)
Process
Find the slopes of both lines
(I) -4x - 4y = -5
-4y = 4x + 5
y = 4/-4 x + 5/-4
y = - x + 5/4
(II) x - 2y = 1
- 2y = - x + 1
y = -1/-2 x + 1/-2
y = 1/2 x - 1/2
The slopes are different slope 1 = -1 and slope 2 = 1/2, so there is no relation between the lines.
9514 1404 393
Answer:
sin(θ) ≈ -0.92
cos(θ) ≈ 0.38
tan(θ) = -2.40
Step-by-step explanation:
Let r represent the distance of the point from the origin. The Pythagorean theorem tells us ...
r² = (5)² + (-12)²
r² = 169
r = √169 = 13
The trig relations for a point on the terminal ray are ...
(x, y) = (r·cos(θ), r·sin(θ))
Then ...
sin(θ) = y/r = -12/13 ≈ -0.92
cos(θ) = x/r = 5/13 ≈ 0.38
tan(θ) = y/x = -12/5 = -2.40
3x^2 - 7x + 12 = 0 ....subtract 12 from both sides
3x^2 - 7x = -12 ....divide both sides by 3 to get x^2 by itself
x^2 - 7/3x = -4
His work is not accurate because he divided the second term by 4 instead of 3.
Divide 560 by 23, 23 goes into 560 24.347 times.
