Answer:
D
Step-by-step explanation:
A unit rate is basically which one increases more as time goes on. Now. to make it easier let me explain visual.
You have 50 apples at the start and every hour you get 200 more apples, sweet!
Now let's look at the chart.
The first one is 200x+100, this is wrong since this has a better start but you don't get as much apples.
Same goes for the B and C. The only one that would make sense is D since you're also adding 10 more apples for each one you increase.
Y = x^2 is the parent function.
y = (x - 2)^2 would translate 2 units to the right
y = (x - 2)^2 - 2 would translate 2 units to the right and also 2 units down
y = - (1/2) (x - 2)^2 - 2
would reflect the parabola upside down, and also make it wider
Answer: The required equation for points P is 
Step-by-step explanation: We are give two points A(0, 1, 2) and B(6, 4, 2).
To find the equation for points P such that the distance of P from both A and B are equal.
We know that the distance between two points R(a, b, c) and S(d, e, f) is given by
Let the point P be represented by (x, y, z).
According to the given information, we have
![PA=PB\\\\\Rightarrow \sqrt{(x-0)^2+(y-1)^2+(z-2)^2}=\sqrt{(x-6)^2+(y-4)^2+(z-2)^2}\\\\\Rightarrow x^2+y^2-2y+1+z^2-4z+4=x^2-12x+36+y^2-8y+16+z^2-4z+4~~~~~~~[\textup{Squaring both sides}]\\\\\Rightarrow -2y+1=-12x-8y+52\\\\\Rightarrow 12x+6y=51\\\\\Rightarrow 4x+2y=17.](https://tex.z-dn.net/?f=PA%3DPB%5C%5C%5C%5C%5CRightarrow%20%5Csqrt%7B%28x-0%29%5E2%2B%28y-1%29%5E2%2B%28z-2%29%5E2%7D%3D%5Csqrt%7B%28x-6%29%5E2%2B%28y-4%29%5E2%2B%28z-2%29%5E2%7D%5C%5C%5C%5C%5CRightarrow%20x%5E2%2By%5E2-2y%2B1%2Bz%5E2-4z%2B4%3Dx%5E2-12x%2B36%2By%5E2-8y%2B16%2Bz%5E2-4z%2B4~~~~~~~%5B%5Ctextup%7BSquaring%20both%20sides%7D%5D%5C%5C%5C%5C%5CRightarrow%20-2y%2B1%3D-12x-8y%2B52%5C%5C%5C%5C%5CRightarrow%2012x%2B6y%3D51%5C%5C%5C%5C%5CRightarrow%204x%2B2y%3D17.)
Thus, the required equation for points P is
Answer:
i think 65 but if not then it is D impossible
Step-by-step explanation:
hope that helps
and that i wasn't to late
Answer:
(-1, -3)
Step-by-step explanation:
The midpoint coordinates are the average of the respective end point coordinates:
M = (P +Q)/2
M = ((-7, 1) +(5, -7))/2 = (-7+5, 1-7)/2 = (-2, -6)/2
M = (-1, -3) . . . . the midpoint of PQ
