Jolie, Weston, Keller, and Thomas created a map to show the relative location of their houses in respect to their school. In their map, the length of each square represents one block. They placed their school at the origin. Jolie's house is located at point (-4, 3). Weston's house is located at point (1, 2). Keller's house is located at point (-3, 2). Thomas' house is located at point (1, -4). The distance between Keller's house and Weston's house is

blocks.

The distance between Weston's house and Thomas' house is

blocks.

From Weston's house, the distance to Thomas' house is

blocks farther than the distance to Keller's house.

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

answer: #1 ads up by 8 and i don't know #2

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0