How to find all points having an x coordinate of 3 whose distance from the...

Maxim Rosales

Maxim Rosales

Answered

2022-12-23

How to find all points having an x coordinate of 3 whose distance from the point (-1, -4) is 5?

Answer & Explanation

Mikayla Cox

Mikayla Cox

Expert

2022-12-24Added 15 answers

The following formula is used to determine the separation between two points:
d=(x2x1)2+(y2y1)2
We can let You can't use 'macro parameter character #' in math mode
We can let You can't use 'macro parameter character #' in math mode
Substituting these values and 5 for d, we can solve for y1:
5=(13)2+(4y1)2
First, square both sides of the equation:
52=((13)2+(4y1)2)2
25=(13)2+(4y1)2
25=(4)2+(4y1)2
25=16+(4y1)2
25=16+((4)2(24y1)+y12)
25=16+(16(8y1)+y12)
25=16+16+8y1+y12
25=32+8y1+y12
25=y12+8y1+32
2525=y12+8y1+3225
0=y12+8y1+7
y12+8y1+7=0
This can be considered as:
(y1+7)(y1+1)=0
Now that we have found the solutions, we can solve each term on the left for 0:
Solution 1:
y1+7=0
y1+77=07
y1+0=7
y1=7
Solution 2:
y1+1=0
y1+11=01
y1+0=1
y1=1
The two points satisfying this problem are:
(3,7) and (3,1)

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get your answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?