Answer:
x = -4, y = -4
Step-by-step explanation:
Normally, if it's allowed, I would use a graphing calculator which basically turns the equations (-2x+y=4) and (y=
x-2) into two straight lines, which represent the line of possible values that can fit into the equations. However, since you want the value of x and y in both equations to be the same, you have to look for the intersection of the two graphs. I use desmos.com/calculator to just type in the equations and the lines would be drawn automatically. By hovering over the equation, I can get the two values of x and y (the first value is for x, and the second one is for y).
Here is the working if you want to work it out by hand: (I'm using algebra for this one)
-2x+y=4 -------------------------------- Equation 1
y=x-2 ---------------------------------- Equation 2
Substitute Equation 2 into Equation 1:
-2x+x-2=4
Simplify:
-1x-2=4
-1x=4+2
-1x=6
1x=-6
x=-6
3x=-6×2
3x=-12
x=-12÷3
x=-4 ------------------------------------ Equation 3
Substitute Equation 3 into Equation 1:
-2(-4)+y=4
Simplify:
8+y=4
y=4-8
y=-4
Thus, x=-4, y=-4
Scale factor shows by how much the original model has been multiplied or divided by to get the measurements of the drawing .
In this case the ladybug is 8 mm long but drawing length is 2 cm.
Let’s convert both into the same units
2 cm -20 mm
Original - 8 mm
Painting -20mm
X - scale factor
20 = X * 8
X = 20/8 = 2.5
The ladybug has been multiplied/ enlarged by a scale factor of 2.5 to draw the painting
I believe it is D. Just ignore the 3 then subtract 2/7 from the 4/7, which is 2/7. Now put the 3 back and you'll have 3 4/7.
A. A perpendicular line to one side of the triangle.
