Answer:
perpendicular lines
Step-by-step explanation:
when the two equation are written in slope intercept form:
y = -4x -7
y = 1/4x -2
the slopes are opposite reciprocals which means they are perpendicular
If the line must be perpendicular to the equation, that means the slope is the reciprocal of the one in the given equation. So first we find that, the slope of the given equation.
- 2y + 4 = 6x + 8
- 2y = 6x + 4
y = - 3x - 2
So the slope of the given equation is - 3x. That means the slope of our perpendicular equation must be 1/3x
Now to find the value of n, plug in our given information and perpendicular slope into the slope equation:
Slope = (Y₂ - Y₁ ) / (X₂ - X₁)
1/3 = (- 8 - (-4)) / (2 - n)
1/3 = (- 8 + 4) / (2 - n)
1/3 = ( - 4) / (2 - n)
Multiply both sides by (2 - n) to get the binomial out of the denominator
(1/3)(2 - n) = - 4
Multiply both sides by 3 to isolate the binomial
2 - n = - 4(3)
2 - n = - 12
Subtract 2 from both sides to isolate the variable
- n = - 14
Divide by - 1 to get rid of the negative.
n = 14. Your coordinate is ( 14, - 4)
Now to find the equation that is perpendicular.
y = 1/3x + b
Plug in either of the coordinates. I'm going to use the ordered pair we just found.
- 4 = 1/3(14) + b
- 4 = 14/3 + b
- 12/3 = 14/3 + b
Subtract 14/3 on both sides.
- 26/3 = b
Your equation is y = 1/3x - 26/3
Answer:
Step-by-step explanation:
Okay, first, you want to find the probability of getting a head, which would be 1/2 because there are two options and we are only looking for one out of the two. Then, the probability of getting a 6 would be 1/6 because there is only one chance of getting a 6 and there are 6 options. Next, you would have to multiply both quantities to find out what the probability would be of getting both. So it would be ×=
9 + x > (equal to or greater than) 15
6 more students need to sign up because 15-9=6