5 / 16
m = rise/run = y2 - y1 / x2 - x1
m = 2-7 / (-4) - 12 = -5 / -16
m = 5 / 16
Same. You should use Desmos online graphing calculator if you have anymore problems like this. You just put it into the calculator and it graphs the line. In this case, the line must be perpendicular to the line CD, basically a horizontal version of the line. I put all of these into Desmos and the one that is perpendicular is -0.5x + 5.5. Hope this will help you in the future!
5 because a thousand means 1000 and u got 5 times 1000 so its 5000
Answer:
A
Step-by-step explanation:
If two nonadjacent angles formed by two intersecting lines = Vertical angles= congruent
Then
Two non adjacent angles formed by two intersecting lines are congruent
A) I would make the positive integer x and then form an equation.
x + 30 = x^2 - 12
x + 42 = x^2
0 = x^2 - x - 42 this can be factorised
(x - 7) ( x + 6) Therefore x = 7 or x = -6
Since the question asks for a positive integer the answer is 7.
B) two positive numbers x and y.
X - y = 3
x^2 + y^2 = 117
Use these simultaneous equations to figure out each number.
Rearrange the first equation
x = y + 3
Then substitute it into the second equation.
(y+3)^2 + y^2 = 117
y^2 + 6y + 9 + y^2 = 117
2y^2 + 6y - 108 = 0
then factorise this.
(2y - 12) (y + 9)
This means that y = 6 or y = -9 but it’s 6 because that’s the only positive number.
Use y to find x
x = y + 3
x = 6 + 3
x = 9
So the answers are x = 9 and y = 6.
