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Mathematics

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Fantom [35]3 years ago

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The approximate height, h, in meters, traveled by golf balls hit with two different clubs over a horizontal distance of d meters

inna [77]

Answer:

a) 100 metres

b) 10 metres

Step-by-step explanation:

Given: the approximate height, h, in meters, travelled by golf balls hit with two different clubs over a horizontal distance of d meters is given by the functions: $h=-0.002d^2+0.3d\,,\,h=-0.004d^2+0.5d$

To find: distances when the ball is at the same height when either of the clubs are used. Also, to find this height

Solution:

(a)

$-0.002d^2+0.3d=-0.004d^2+0.5d\\d(-0.002d+0.3)=d(-0.004d+0.5)\\-0.002d+0.004d=0.5-0.3\\0.002d=0.2\\d=\frac{0.2}{0.002}=100\,\,metres$

(b)

Put d = 100 in $h=-0.002d^2+0.3d$

$h=-0.002(100)^2+0.3(100)\\=-20+30\\=10\,\,metres$

4 0

3 years ago

Mark and Zoe are hiking a trail. Mark starts before Zoe. The expression 2t + 100 represents how far, in meters, Mark has hiked t

olasank [31]

Answer: No

Step-by-step explanation:

The distance hiked of Mark is represented by 2*t + 100

and the distance hiked of Zoe is represented by 2*t

here, you can see that the slope of both equations is equal, this means that in the same lapse of time, Zoe and Mark displace the same amount, but because Mark started earlier, he has a y-intercept bigger than zero, so for every value of t, the distance that Mark hiked will be higher than the one of Zoe.

We can represent this by:

2*t + 100 > 2*t

100 > 0

So the distance hiked by Mark is always bigger than the one of Zoe

7 0

3 years ago

Read 2 more answers

Which of the following statements is true for the figures shown

kupik [55]

Answer:

no question pls give and I can think

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