Answer:
x=(-2/3)
Step-by-step explanation:
(9x+13)^2=49
√(9x+13)^2=√49
9x+13=7
9x+13-13=7-13
9x=-6
9x÷9=-6/9
x=-6/9
-6/9=-2/3

Given to points to us are :-
( As these are plotted on graph with yellow dots .)
Now , we can use Distance Formula , which is :-

Here ,
- x1 = 3 .
- x2 = -1.
- y1 = (-6)
- y2 = (-8).
<u>→ Substituting the respective values , </u>
⇒ Distance = √ [ { 3 - (-1)}² + { -6 -(-8)²} ] .
⇒ Distance = √ (3+1)² + (8-6)²
⇒ Distance = √ 4² + 2²
⇒ Distance = √ 16 + 4
⇒ Distance = √20 = √4 × √5
⇒ Distance = 4√5units .
<u>Hence the distance between two points is 4√5u.</u>
Since the distances were the same you can find the average speed directly by adding the speeds then dividing by 2. No need to weight anything.
If we’re considering speed regardless of direction, the average speed is:
(24 + 16) / 2 = 40 / 2 = 20mph
However if direction matters, then one number has to be negative since the directions are opposite:
(24 - 16) / 2 = 8 / 2 = 4mph (in the positive direction)
Depending on the context, either of these could be your answer.
First answer (x=-2)
...
(2)[(-2)^2]+6-20
2(4)+6-20
8+6-20
14-20
<em>-6 (answer)
</em><em>
</em><em />Second answer (x=5)
...
(2)[(-5)^2]+6-20
2(25)+6-20
50+6-20
56-20
<em>36 (answer)
</em>Hope this helps!