Find the distance between the points (7,-6) and (-5,3). Write your answers as a whole number or a fully simplified radical expression. Do not round.

15

Step-by-step explanation:

Let index 1 refer to the first point, while index 2 refers to the second one.

The distance d:

d²=(x2-x1)²+(y2-y1)²=(-5-7)³+(3-(-6))²=

(-12)²+9²=144+81=225=15²

d=15

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

sas (side angle side)

aa (angle angle)

sss(side side side)

sas find two sides with an angle in between

aa is finding two angles and the third will add up to 180

sss find all sides

step-by-step explanation: