Answer:
y = 3
y = 5
(last answer choice)
Step-by-step explanation:
A system of equation is given in "x" and "y".
For it to have a solution, there should be a value for x and a value for "y".
There needs to be 2 values, one for x and another for y.
It doesn't matter if the values of x and y are same, but there needs to be one value of x and one value of y (if linear equations).
First one has a value of x = 5 and y = 3, so there are 2 values, one for x and another for y, distinct values. So it's okay.
The second one has 2 values for x and y, respectively. THey are same, doesn't matter. So, this one is okay as well.
The last one has NO VALUE for x and has 2 values for y. So, this one doesn't have a proper solution.
So, the last one of the choices shown has NO SOLUTION.
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:
I think the answer is 8
Step-by-step explanation:
8 1/2 times 120 times 20 3/10 = 20706
L*W*H
Hope this helps :D
Answer:
the answer is a b c or d
Step-by-step explanation:
because I'm smart
