Answer:
x=-10 and y=1
Step-by-step explanation:
-2(-10)=20
-10(1)=-10
20-10=10
Perpendicular lines refers to a pair of straight lines that intercept each other. The slopes of this lines are opposite reciprocal, meaning that it's multiplication is -1.
On this case they give you the equation of a line and a point, and is asked to find the equation of a line that is perpendicular to the given one, and that passes through this point.
-2x+3y=-6 Add 2x in both sides
3y=2x-6 Divide by 3 in both sides to isolate y
y=2/3x-6/3
The slope of the given line is 2/3, which means that the slope of a line perpendicular to this one, needs to be -3/2. Now you need to find the value of b or the y-intercept by substituting the given point into the formula y=mx+b, where letter m represents the slope.
y=mx+b Substitute the given point and the previous slope found
-2=(-3/2)(6)+b Combine like terms
-2=-9+b Add 9 in both sides to isolate b
7=b
The equation that represents the line perpendicular to -2x+3y=-6 and that passes through the point (6,-2), is y=-3/2x+7.
Answer:
The answer for the number after 400 is <u>1595</u><u>.</u>
Step-by-step explanation:
:)
Answer:
2
Step-by-step explanation:
2x(5+4)=(_x5)+(_x4)
lets start with 2x(5+4)
(5+4)=9
so we are left with 2x9
2x9=18
so now we have 18=(_x5)+(_x4)
lets try 2 for the blank spaces
18=(2x5)+(2x4)
2x5=10
2x4=8
10+8=18
2x(5+4)=(2x5)+(2x4)
It worked! Hope this helps :)
Answer: 10x - 15y because 5(2x) = 10x and 5(-3y) = -15y