Answer:
So 24 hours each month times 12 would be 288 hours of working out of one year.
Hope this helps!
Step-by-step explanation:
Answer:
y = 3x + 23 and

Step-by-step explanation:
The first equation is 9x - 3y = - 69 and we have to write it in slope-intercept form.
Now, 9x - 3y = - 69
⇒ 3x - y = - 23 {Dividing both sides by 3}
⇒ 3x + 23 = y
⇒ y = 3x + 23 {Interchanging the sides} (Answer)
The second equation is x - 3y = - 6 and we have to write it in slope-intercept form.
Now, x - 3y = - 6
⇒ x + 6 = 3y
⇒ 3y = x + 6 {Interchanging the sides}
⇒
{Dividing both sides by 3}
⇒
(Answer)
Answer:
Step-by-step explanation:
<u>Midpoint of JK:</u>
- x = (-12 + 8)/2 = -4/2 = -2
- y = (3 - 5)/2 = -2/2 = -1
<u>Slope of the line JK:</u>
- m = (-5 - 3)/(8 - (-12)) = -8/20 = -2/5
Perpendicular lines have negative reciprocal slopes.
So the line r has a slope 5/2 and passes through the point (-2, -1)
<u>Equation of r:</u>
- y = 5/2x + b
- -1 = 5/2(-2) + b
- -1 = -5 + b
- b = 5 - 1
- b = 4
<u>So the equation is:</u>
To solve the question, the both equations should have a positive value and a negative value with same number. Then one variable can be eliminated.
To eliminate X term first, we should multiply the first equation by 2 and second one by 3.
Then,
6X - 12Y = -30
-6X + 15Y = 70
Or
To eliminate Y term first, we should multiply the first equation by 5 and second one by 6.
Then,
15X - 30Y = -75
-12X + 30Y = 84
According to the choices given 'A' is the correct answer.
Answer:
tan(9pi/12) = 0.041146549
Step-by-step explanation: