Answer:
See below.
Step-by-step explanation:
Triangle ABC will be right-angled if 2 of its sides are perpendicular to each other. When sides are perpendicular the product of their slopes = -1.
Slope of side AB = (-3-2)/(2-5) = -5/-3 = 5/3
Slope of side BC = (3- -3) / -8-2) = 6/-10 = -3/5
The product of the slopes = 5/3 * -3/5 = -15/15 = -1.
So AB is perpendicular to BC and triangle ABC is right-angled .
Answer:
25 points.
Step-by-step explanation:
In the second game, you can say the Foosball team scored x points.
In their third game, they would have scored x points, plus 8.
In the last game, they would have scored x points, plus 8, then multiply the WHOLE THING by 3.
We would get the following equation...
x + (x + 8) + 3(x + 8) = 117
x + x + 3x + 8 + 24 = 117
5x + 32 = 117
5x = 85
x = 17
So, the Marauders scored 0 points in the first game. In the second game, they scored 17 points. In the third, they scored 17 + 8 = 25 points. In the last, they scored 25 * 3 = 75 points. Altogether, that's 117 points!!
Hope this helps!
Split the second term in
2x squared -5x + 3 into two terms
2x squared - 2x - 3x + 3
Factor out common terms and last two terms
2x(x-1) -3 (x-1)
Factor out the common term x - 1
ANSWER: (x-1) (2x-3)
Answer:
see below
Step-by-step explanation:
The trip takes 2 hours
Stopping every half hour means stopping at 30 minutes, 1 hour, 1.5 hours
We would not stop at 2 hours because we would be done.
One the number line R means rest stops
200 Km /4 means at 50 km, 100 km 150 km and 200 km
The rest stops are at 50 km 100 km 150 km (the one at 200 is at the end of the trip so it is not a rest stop
We have to stop for gas 3/4 of the way
200 *3/4 = 150 km
We will stop for gas at a rest stop at 150 km
You can use a volume calculator
