Answer:
108m
Step-by-step explanation:
Hello, to find the height of the bigger triangle, you take the width of the bigger triangle and divide by the width of the smaller triangle like this:
72/0.8=90
Then, you take 90 and you multiply it by the height of the smaller triangle like this:
1.2 x 90= 108
So the height of the bigger triangle is 108m.
Taxi A
1mile £3.50+£1.75=£5.25
Taxi B
1mile £1.25+£2.00=£3.25
Taxi A
2miles £3.50+£3.50=£7.00
Taxi B
2miles £1.25+£4.00=£5.25
Taxi A
3miles £3.50+£5.25=£8.75
Taxi B
3miles £1.25+£6.00=£7.25
Taxi A
4miles £3.50+£7.00=£10.50
Taxi B
4miles £1.25+£8.00=£9.25
Taxi A
5miles £3.50+£8.75=£12.25
Taxi B
5miles £1.25+£10.00=£11.25
Taxi A
6miles £3.50+£10.50=£14.00
Taxi B
6miles £1.25+£12.00=£13.25
Taxi A
7miles £3.50+£12.25=£15.75
Taxi B
7miles £1.25+£14.00=£15.25
Taxi A
8miles £3.50+£14.00=£17.50
Taxi B
8miles £1.25+£16.00=£17.25
Taxi A
9miles £3.50+£15.75=£19.25 (the same)
Taxi B
9miles £1.25+£18.00=£19.25 (the same)
^^^
They would have to drive 9 miles for the taxi to cost the same.
Hope this helped, this is the longest way to work it out but also the simplest.
1. The function

is a parabola of the form

. The the formula for the axis of symmetry of a parabola is

. We can infer from our function that

and

, so lets replace those values in our formula:





We can conclude that to the left of the line of symmetry the ball is reaching its maximum height, and to the right of the line of symmetry the ball is falling.
2. Lets check how much time the ball takes to reach its maximum height and return to the ground. To do that we are going to set the height equal to zero:



or


or

From our previous point we know that the ball reaches its maximum time at

, which means that <span>
it takes 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground.</span>
Answer:
1

-0.7
Step-by-step explanation:
Both
and -0.7 are negative so therefore, 1 is the greatest
is -0.6 which is greater than -0.7 so it's the 2nd greatest
and -0.7 is the least
Answer:
D.
Step-by-step explanation: