We need to swap the numerator and denominator, and change the sign of one of them to get a perpendicular slope.5x + 10y = c. Now subtract the point.
5(-4) + 10(7) = -20 + 70 = 50 = c
5x + 10y = 50 is an equation. If we want, we can divide everything by 5 to get x + 2y = 10.The more usual way to do these is put the equation in slope-intercept form by solving for y. 10x-5y=8 -5y = -10x + 8 y = 2x - 8/5 Now you have the slope of the original line, 2. Any line perpendicular to this one must have a slope that is the negative reciprocal of this one, -1/2 So this new line must be y = -1/2 x + c .Now subtract in point to solve for c.
7 = (-1/2)(-4) + c 7 = 2+c
5 = c
y = -1/2 x + 5
The first time we solved we got this.
x + 2y = 10 but, if we divide everything by 2, we get 1/2 x + y = 5 So... subtract 1/2 x from both sides and you have identical equations. So the two are equivalent. The answer is y = -1/2 x + 5
Hope this helped!
Answer:
B The vertex is at (2,2)
Or could possibly be
C the axis of symmetry is x=2
The answer is 10 lawns in 15 hours
Answer:
choice 1) 2-4y
Step-by-step explanation:
from the answers available, you are looking for the expression for x to substitute into the first equation.
The second equation is: x+4y = 2
To convert x+4y = 2
subtract 4y from both sides of the equation:
x+4y-4y = 2-4y
simplified:
x = 2-4y
Answer:
(40,0)
Step-by-step explanation:
A rotation of 270 degrees° counterclockwise about the origin has the rule
A ferris wheel is drawn on a coordinate plane so that the first car is located at the point (0,40).
According to the given rule, the image point after a rotation of 270 degrees° counterclockwise about the origin have the coordinates (40,0) (see attached diagram for details).
