Answer:
d(x) = √[(x - 2)² + (3x - 1)²]
Step-by-step explanation:
The distance between two points with coordinates (x₁, y₁) and (x₂, y₂) is given as
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
So, the distance between point (2,0) and a point (x,y)
d = √[(x - 2)² + (y - 0)²]
d = √[(x - 2)² + (y)²]
But the point (x,y) is on the line y = 3x - 1
We can substitute for y in the distance between points equation.
d(x) = √[(x - 2)² + (3x - 1)²]
QED!
Answer:
Option C (2.5, 1) is the right alternative.
Step-by-step explanation:
The given points are:
A = (-1, 5) = (x₁, y₁)
B = (6, -3) = (x₂, y₂)
Now,
The midpoint on X-axis is:
=
=
=
=
The midpoint on Y-axis is:
=
=
=
=
=
Thus the midpoint of AB is "2.5, 1".
Answer:
Ground Morgans are 52% the price of Floating Jumps.
Step-by-step explanation:
A pair of Ground Morgans is 20% less expensive than a pair of Elite Butterflies
, this means
<em>(GM is 80% the price of EB's)</em>
Elite Butterflies are 30% more expensive than Cloud Trainers
's, this means
<em>(EM's is 130% the price of CT's)</em>
Cloud Trainers are 50% less expensive than Floating Jumps
, this means
<em>(CT is 50% the price of FJ)</em>
Now, if we want the price of Ground Morgans in terms of Floating Jumps, then, since EB = 1.3 CT,
and since CT = 0.5F, we have
.
Simplifying we get
Ground Morgans are 52% the price of Floating Jumps.