Answer:
The answer to your question is ![y = \frac{-1}{2} x - 1](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B-1%7D%7B2%7D%20x%20-%201)
Step-by-step explanation:
Process
1.- Get to points of the line
A (-2, 0)
B (0, -1)
2.- Find the slope of the line
Slope = m = ![\frac{y2 - y1}{x2 - x1}](https://tex.z-dn.net/?f=%5Cfrac%7By2%20-%20y1%7D%7Bx2%20-%20x1%7D)
Substitution
m = ![\frac{-1 - 0}{0 + 2} = \frac{-1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B-1%20-%200%7D%7B0%20%2B%202%7D%20%3D%20%5Cfrac%7B-1%7D%7B2%7D)
3.- Find the equation of the line
y - y1 = m(x - x1)
Substitution
y - 0 = -1/2(x + 2)
Simplification
y = -1/2x - 1
The partial product of 4.6×3.5 is 16.1
Answer:
72.2
Step-by-step explanation:
Monday: 78.8
Tuesday: 78.8 - 6.6 = 72.2
Answer: 48
Step-by-step explanation:
Given
Trapezoid DEFG is dilated by a scale factor of
![E'F'=32](https://tex.z-dn.net/?f=E%27F%27%3D32)
Suppose the length of EF is ![x](https://tex.z-dn.net/?f=x)
Multiply the side length of DEFG by
to form E'F'
![\Rightarrow E'F'=x\times \dfrac{2}{3}\\\\\Rightarrow 32=x\times \dfrac{2}{3}\\\\\Rightarrow x=16\times 3\\\Rightarrow x=48](https://tex.z-dn.net/?f=%5CRightarrow%20E%27F%27%3Dx%5Ctimes%20%5Cdfrac%7B2%7D%7B3%7D%5C%5C%5C%5C%5CRightarrow%2032%3Dx%5Ctimes%20%5Cdfrac%7B2%7D%7B3%7D%5C%5C%5C%5C%5CRightarrow%20x%3D16%5Ctimes%203%5C%5C%5CRightarrow%20x%3D48)
![\therefore EF=48](https://tex.z-dn.net/?f=%5Ctherefore%20EF%3D48)
Pick one coordinate point on figure 1 (-4,5)
First rotate 90 degree clockwise rule (x,y) -->(y , -x)
So (-4,5) rotate 90 degree clockwise will become (5, 4)
Then reflection over x a-xis, rule (x,y) -->(x,-y)
So (5, 4) reflection over x a-xis will be (5, -4)
Answer: first option
90 clockwise rotation around the origin, then a reflection across x - axis.
Hope it helps