Make them both equal to y
y=-2x+6
2y=x+6 y=1/2x+3
These are perpendicular since ones slope is -2 and the other is the opposite, 1/2.
Answer: x = −18
Step-by-step explanation:
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4' to each side of the equation.
4 + -4 + -1x = 22 + -4
Combine like terms: 4 + -4 = 0
0 + -1x = 22 + -4
-1x = 22 + -4
Combine like terms: 22 + -4 = 18
-1x = 18
Divide each side by '-1'.
x = -18
Simplifying
x = -18
Answer:
с. A matched pairs t-interval for a mean difference.
Step-by-step explanation:
With the sample, we will have possession of the sample mean and of the sample standard deviation, which means that the t-distribution will be used.
We want to find the mean number of back problems for each sample, and estimate the difference. Since the groups are similar, with only the positions in which they work being different, we have matched pairs. So the correct answer is given by option c.
Answer:
m∠A = 9.1°
m∠B = 10.9°
c = 54.2
The answer is (d)
Step-by-step explanation:
∵ a = 25
∵ b = 30
∵ m∠C = 160°
∴ c² = a² + b² - 2 × ab × cos(C)
∴ c² = 25² + 30² - 2(25)(30) × cos(160) = 2934.5389
∴ c = 54.2
∵ a/sin(A) = b/sin(B) = c/sin(C)
∵ 25/sin(A) = 54.2/sin(160)
∴ sin(A) = (25 × sin(160)) ÷ 54.2 = 0.1577584
∴ m∠A = 9.1°
∵ 30/sin(B) = 54.2/sin(160)
∴ sin(B) = (30 × sin(160)) ÷ 54.2 = 0.18931
∴ m∠B = 10.9°