Answer:
7xy + 2x^2t
Step by step explanation:
You just group the like terms and simplify (pay attention to the signs)
5xy + 2xy = 7xy
-1x^2t + 3x^2t = 2x^2t
So the answer is : 7xy + 2x^2t
Answer:
y=5
Step-by-step explanation:
That is literally what horizontal lines' equations would be like.
The slope would be 0, so y=0x and the y-intercept would be 5 so y=0x+5 which is useless to keep the 0x so it becomes y=5.
Answer:
y= -6
Step-by-step explanation:
y=1/3x
x= -18
y=1/3(-18)
y= -6
Answer:
1. (10, -⁸/₃)
2. (2, ⁸/₃)
3. (12, -4)
Step-by-step explanation:
I will do the first 3 as examples.
1. Y is ⅔ of the distance from X to Z.
Y − X = ⅔ (Z − X)
The x-coordinate of Y is:
x − -6 = ⅔ (18 − -6)
x + 6 = ⅔ (24)
x + 6 = 16
x = 10
The y-coordinate of Y is:
y − 8 = ⅔ (-8 − 8)
y − 8 = ⅔ (-16)
y − 8 = -³²/₃
y = -⁸/₃
Y is at (10, -⁸/₃).
2. The ratio of XY to YZ is 1:2.
(Y − X) / (Z − Y) = 1 / 2
Cross multiply.
2 (Y − X) = Z − Y
The x-coordinate of Y is:
2 (x − -6) = 18 − x
2x + 12 = 18 − x
3x = 6
x = 2
The y-coordinate of Y is:
2 (y − 8) = -8 − y
2y − 16 = -8 − y
3y = 8
y = ⁸/₃
Y is at (2, ⁸/₃).
3. Y is ¼ of the distance from Z to X.
Y − Z = ¼ (X − Z)
The x-coordinate of Y is:
x − 18 = ¼ (-6 − 18)
x − 18 = ¼ (-24)
x − 18 = -6
x = 12
The y-coordinate of Y is:
y − -8 = ¼ (8 − -8)
y + 8 = ¼ (16)
y + 8 = 4
y = -4
Y is at (12, -4).
Answer: They are not equal because they have different answers... I'm pretty sure
