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>
Answer:
The expression that is greater is a (b - c)
Step-by-step explanation:
- a < 0 and c > b, this means <u>(by the addition property)</u> that c - c > b - c⇒0 > b - c
so for the product <u>a(b - c) </u>we would have a multiplication of a negative number <em>a</em> and another negative number <em>(b - c)</em>. We know that the result of the <u>multiplication of two negative numbers is a positive number.</u>
Therefore, a (b - c) > 0
- a < 0 and c > b, this means <u>by the addition property</u> that c - b > b - b⇒ c - b > 0
so for <u>a(c - b)</u>, we have the negative number <em>a</em> multiplied by the positive number <em>(c - b). </em>We know that the result of the <u>multiplication of a negative number by a positive number is negative. </u>
<u>Therefore a (c - b) < 0</u>
Thus, the expression that is greater is the positive one which is a (b - c)
The average speed of the runner is 12.7 mph and 20.4 km/h
Given that the runner ran 26.2 mile in 2hr and 4 minutes, we start of by converting the time from hours and minutes into minutes and finally hours, since hours is what we need. So, we have
2hr = 120mins
+ 4 mins = 124 mins
124 mins ÷ 60 hour/mins = 2.06 hours.
This means that the runner finished the race in 2.06 hours.
If we are to find the average speed in mile per hour, we have
Average speed = distance ran ÷ time taken
Average speed = 26.2 ÷ 2.06
Average speed = 12.7 mph
From the speed in mph, we can directly convert it to km/hr by saying
1 mph = 1.609 km/h
12.7 mph = 12.7 * 1.609 = 20.4 km/hr
for more, check: brainly.com/question/1989219