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2 years ago

Any three noncollinear points are also considered to be Coplanar

Mathematics

1 answer:

Otrada [13]2 years ago

6 0

Yes and they will always be coplanar.

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HELP PLS I NEED HELP When solving the equation such as 3/5x = 1/9, why would you multiply both sides of the equation by the reci

True [87]

Because 3/5 and 5/3 make a product of 1, so you have one x on the right side.

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2 years ago

Two cyclists, Alan and Brian, are racing around oval track of length 450m on the same direction simultaneously from the same poi

skelet666 [1.2K]

Answer:

Alan: 200 m/min

Brian: 150 m/min

Step-by-step explanation:

Given : Two cyclists, Alan and Brian, are racing around oval track of length 450m on the same direction simultaneously from the same point. Alan races around the track in 45 seconds before Brian does and overtakes him every 9 minutes.

To find : What are their rates, in meters per minute?

Solution :

Let n represent the number of laps that Alan completes in 9 minutes.

Then n-1 is the number of laps Brian completes.

45 seconds = 3/4 minutes.

The difference in their lap times in minutes per lap is

$\frac{9}{(n -1)}-\frac{9}{n} =\frac{3}{4}$

Solving the equation we get,

$\frac{9n-9n+9}{n(n -1)} =\frac{3}{4}$

$9\times 4=3\times n(n -1)$

$36=3\times n(n -1)$

$n^2-n-12=0$

$n^2-4n+3n-12=0$

$n(n-4)+3(n-4)=0$

$(n-4)(n+3)=0$

$n=4,-3$

Neglecting n=-3

So, n=4

Then Alan's speed in m/min is

$S=\frac{D}{T}$

$S_a=\frac{4\times 450}{9}$

$S_a=200 m/min$

Brian completes 3 laps in that 9-minute time, so his rate is

$S_b=\frac{3\times 450}{9}$

$S_b=150 m/min$

Therefore, Alan: 200 m/min

Brian: 150 m/min

4 0

3 years ago

Which equation represents the line containing (0,-2) and (2,-1)?

77julia77 [94]

Answer:

The answer is A.

Step-by-step explanation:

You can make a test by substituing x-coordinate into the equation :

$y = \frac{1}{2} x - 2$

$let \: x = 0$

$y = \frac{1}{2} (0) - 2$

$y = - 2 \: (correct)$

$let \: x = 2$

$y = \frac{1}{2} (2) - 2$

$y = 1 - 2$

$y = - 1 \: (correct)$

8 0

3 years ago

pls help me asap and fast and for every question, you have to explain to me how you got the answer the one who did all of the wi

shtirl [24]

Answer:

180-12-35

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= 133

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3×2×1

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2 × 2

=6/4

=3/2

6(2÷3/5)

=6(10/3)

=20

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2 years ago

There are 192 students, ratio is 6:2 - how many do there homework and how many do not

harina [27]

192* 6/6+2= 144(do )
192*2/6+2=48( do not do )

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3 years ago

Read 2 more answers