OK. So I took the test and got a 60 because of the person who said the answer was (3,2) or (4, 2). They were WAY OFF. THE RIGHT ANSWER IS (9, 2) FOR ANYONE WHO STILL NEEDS IT.
Answer:
10x² - 48y² - 11x + 2y - 74xy
Step-by-step explanation:
(-x+8y)+(-10x-6y)(−x+8y)+(−10x−6y)
Rearranging,
=> - x - 10 x + 8y - 6y + (-10x-6y)(−x+8y)
=> - 11x + 2y + 10x² - 48y² + 6xy - 80xy
=> 10x² - 48y² - 11x + 2y - 74xy
#1 second line: x-y=-3
x=y-3(isolating x to prepare for substitution)(what x is equivalent to)
get back to the first line
x+y=5
(y-3)+y=5(substituting the value of x of the first line with the value of x at the second line)(It is a process to find the intersection between the two lines(line#1 and line#2 are two linear functions)
2y-3=5(simplify)
2y=8(simplify)
y=4(simplify)
line#1 x+y=5
x+(4)=5(plug the value of y back into either line#1 or line#2 will work)(plugging in the y value of the point of intersection to solve for the x value of the point of intersection)
x=1(solve)
the two linear lines intersect at the point(1(x coordinate), 4(y coordinate))(1,4)
#2 (line#1) y=3x-1
(line#2) 2x+y=14
2x+(3x-1)=14
5x-1=14
5x=15
x=3
y=3(3)-1
y=9-1
y=8
(3,8)
#3 line#1 2x+3y=8
line#2 6x+9y=24
2x=8-3y
x=(8-3y)/2
6((8-3y)/2)+9y=24
24-9y+9y=24
24=24
(those two lines are on top of yeach other/the same line)
any point on the line
#4 line#1 3x-4y=12
line#2 y=3/4x-4
3x-4(3/4x-4)=12
3x-3x+16=12
16=12
parallel lines: lines with same slope and different y-intercept
No solution/they never intercept each other
I hope it is helpful, if you have any question, I will answer ASAP
The slope of y = 5x - 4 is 5.
Angles are complementary when they add up to 90 degrees. For example 60 and 30, or 45 and 45.
Angles are supplementary when they add up to 180 degrees. For example 90 and 90, or 100 and 80.
Hope that helps
