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11 votes
Find the distance between (5,-3) and (5,8).

2 Answers

11 votes

Answer:
11

Explanation:

the distance between
(5,-3) and
(5,8) is
11, I know this because I Use the distance formula to determine the distance between two points.

the slope will be Undefined, and I know this because I use the slope formula to find the slope
m.

To find the mid-point, Use the midpoint formula to find the midpoint of the line segment.


(5, (5)/(2) )

From the Equation Using Two Points I will need to use the slope formula and slope-intercept form
y=mx+b to find the equation.


x=5

Find the distance between (5,-3) and (5,8).-example-1
User Samizdis
by
8.1k points
1 vote

Answer:


\Longrightarrow: \boxed{\sf{11}}

Explanation:

As with the slope formula, you must use the distance formula to determine the distance.

Use the slope formula.

Slope:


\Longrightarrow: \sf{(y_2-y_1)/(x_2-x_1) }

  • y2=8
  • y1=(-3)
  • x2=5
  • x1=5

Use the distance formula.

Distance formula:


\Longrightarrow: \sf{√(\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2)}


\Longrightarrow: \sf{√(\left(5-5\right)^2+\left(8-\left(-3\right)\right)^2)}}

Solve.

Use the order of operations.

PEMDAS stands for:

  • Parentheses
  • Exponents
  • Multiply
  • Divide
  • Add
  • Subtract

BODMAS stands for:

  • Brackets
  • Order
  • Divide
  • Multiply
  • Add
  • Subtract


\sf{\left(5-5\right)^2+\left(8-\left(-3\right)\right)}

First, do parentheses.

(5-5)²

5-5=0


\sf{0^2+\left(8-\left(-3\right)\right)}

(8-(-3))

=8+3

8+3=11

0²+11

Do exponents.

0²=0

0+11

Add.

0+11=11


\Longrightarrow: \boxed{\sf{11}}

  • Therefore, the distance between (5,-3) and (5,8) is 11, which is our answer.
User Henry Liu
by
7.4k points

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