Answer:
(0, 4)
Step-by-step explanation:
To find the intersection of two lines, we want to find the value when they equal each other. To do this, we want to set the equations equal to each other.
First, let's simplify y = x + 4x + 4 by combining the x's.
y = 5x + 4
Now let's set the equations equal to each other. Since they both equal y, we can set the opposite sides equal to each other.
5x + 4 = 2x + 4
Now you want to combine the terms.
[subtract 4] 5x = 2x
[subtract 2x] 3x = 0
Now you want to isolate the x.
[divide by 3] x = 0
Now we want to find y by plugging x = 0 back into the equations.
y = 5(0) + 4
[multiply] y = 0 + 4
[add] y = 4
Check this with the other equation.
y = 2(0) + 4
[multiply] y = 0 + 4
[add] y = 4
Your answer is correct!
(0, 4)
Answer:
18
Step-by-step explanation:
Answer:
{1, 5}
Step-by-step explanation:
the union is all the values in both sets. The only shared numbers in these two sets are 1, and 5. therefore, the union of the sets is {1, 5}
Hope this helps have a great day! <3
also, pls mark brainliest!!
Use the Pythagorean Theorem to find the length of the line segment connecting (4,-6) and (9,-5). The change in x is 5 and the change in y is 1. Thus, the
hypotenuse is sqrt(5^2 + 1^2) = sqrt(26) (answer).
y=-2x+7
Step-by-step explanation:
line segment xy has endpoints x(5 7) and y(-3 3)
for the equation of the perpendicular bisector of line segment xy
slope of line segment xy = 7-3 / 5+3
= 4/8
=1/2
so slope of perpendicular bisector is -2
as m1m2= -1 or m1= -1/m2
As perpendicular bisector goes through midpoint of xy , let's find midpoint of xy
midpoint(x,y) = (5-3 / 2 , 7+3 / 2)
=(2/2, 10/2)
=(1,5)
find the equation of line(perpendicular bisector) passing through (1,5) and the slope -2
y-5 = -2(x-1)
y-5 =-2x+2
y=-2x+7
