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To find the distance between (-3,4) and (3,-1), Jacob's teacher drew a diagram and marked blue lines to represent the legs of a right triangle. Jacob then used 52 and 62 to find the distance represented by the red segment. What distance did he find?

see the explanation

Step-by-step explanation:

see the attached figure to better understand the problem

Let

A(-3,4)

B(3,-1)

we know that

In the right triangle ABC of the figure

Applying the Pythagorean Theorem

where

AB is the hypotenuse of the right triangle

AC and BC are the legs of the right triangle

substitute the given values

so

Jacob found the square of the distance represented by the red line

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

segment bisector

step-by-step explanation:

line segment bisector. definition: a line, ray or segment which cuts another line segment into two equal parts. try this drag one of the orange dots at a or b and note the the line ab always divides the line pq into two equal parts.

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