Answer: The gradient of the line segment between the points (-5,2) and (4,3) is
.
Step-by-step explanation:
Formula for gradient of a line segment :

Given points of the line segment: (-5,2) and (4,3)



Therefore , the gradient of the line segment between the points (-5,2) and (4,3) is
.
<em>Answer:</em>
<em>2h 15m</em>
<em>Step-by-step explanation:</em>
<em>If he drove 96 kilometers per hour for the first two hours, then he traveled 192 kilometers in two hours, meaning that the full trip is 384 kilometers.</em>
<em>192/80 = 2.4</em>
<em>Mr. Moore took 2 hours and 15 minutes to finish his trip.</em>
<em>Hope this helps. Have a great day.</em>
Answer:
50,803,200 ways
Step-by-step explanation:
In this situation, since you should alternate girl-boy or boy-girl, the line-up can either start with a boy or a girl kicking which would yield one of the two following patterns:
BGBGBGBGBGBGBG or GBGBGBGBGBGBGB.
For each of those patterns, there are 7! ways to arrange all boys and 7! ways to arrange all girls. The number of ways that a line-up can be made for one round of kicking is:

There are 50,803,200 ways to set the line-up.
Answer:
Brain travelled 687.68 from the cliff.
Step-by-step explanation:
Given that:
Height of the cliff = 520
Base of the cliff = 450
The distance will form the hypotenuse of right angled triangle.
Pythagorean theorem states square of hypotenuse of right angled triangle is equal to the sum of squares of base and height of triangle.
Using pythagorean theorem;
a = 520, b=450, c = hypotenuse

Taking square root on both sides

Hence,
Brain travelled 687.68 from the cliff.