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3 years ago

Are collinear points coplanar?

Mathematics

1 answer:

Anna35 [415]3 years ago

8 0

collinear points are points in the same line, like

●-----------------●------------------------------------------●

and the line will always be contained by a plane, so since the line is in a plane, all points in it will also be in the same plane, and therefore be coplanar.

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The length of a 200 square foot rectangular vegetable garden is 4feet less than twice the width. Find the length and width of th

inna [77]

Answer:

Length = 18.099 ft

Width = 11.049 ft

Step-by-step explanation:

let the length of the field be x ft

and the width be y ft

as per the condition given in problem

x=2y-4 -----------(A)

Also the area is given as 200 sqft

Hence

xy=200

Hence from A we get

y(2y-4)=200

taking 2 as GCF out

2y(y-2)=200

Dividing both sides by 2 we get

$y(y-2)=100$

$y^2-2y=100$

subtracting 100 from both sides

$y^2-2y-100=0$

Now we solve the above equation with the help of Quadratic formula which is given in the image attached with this for any equation in form

$ax^2+bx+c=0$

Here in our case

a=1

b=-1

c=-100

Putting those values in the formula and solving them for y

$y=\frac{-(-2)+\sqrt{(-2)^2-4 \times (-1) \times 100}}{2 \time 1}$

$y=\frac{-(-2)-\sqrt{(-2)^2-4 \times (-1) \times 100}}{2 \time 1}$

Solving first

$y=\frac{2+\sqrt{4+400}{2}$

$y=\frac{2+\sqrt{404}{2}$

$y=\frac{2+20.099}{2}$

$y=\frac{22.099}{2}$

$y=11.049$

Solving second one

$y=\frac{-(-2)-\sqrt{(-2)^2-4 \times (-1) \times 100}}{2 \time 1}$

$y=\frac{2-\sqrt{4+400}{2}$

$y=\frac{2-\sqrt{404}{2}$

$y=\frac{2-20.099}{2}$

$y=\frac{-18.99}{2}$

$y=-9.045$

Which is wrong as the width can not be in negative

Our width of the field is

y=11.099

Hence the length will be

x=2y-4

x=2(11.049)-4

x=22.099-4

x=18.099

Hence our length x and width y :

Length = 18.099 ft

Width = 11.049 ft

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3 years ago

AWARDING BRAINLIEST!!!! Using the distributive property of multiplication write 2(6r+18) in standard form and explain steps

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Your answer is 21...

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3 years ago

Larry was able to bake 14 loaves of bread per hour. How many loaves of bread will he make after 15 hours

ANEK [815]

14 loaves per hour

15 hours will get 14×15 = 210loaves

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2 years ago

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What is the domain of the function on the graph

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All real numbers greater than or equal to -3

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Picky Polls asked 1600 third-year college students if they still had their original major. According to the colleges, 50% of all

Reptile [31]

Answer:

The probability that less than 800 students who said they still had their original major is 0.50 or 50%.

Step-by-step explanation:

Let the random variable X be described as the number of third-year college students if they still had their original major.

The probability of the random variable X is, P (X) = p = 0.50.

The sample selected consisted of n = 1600 third-year college students.

The random variable X thus follows Binomial distribution with parameters n = 1600 and p = 0.50.

$X\sim Bin(1600, 0.50)$

As the sample size is large, i.e.n > 30, and the probability of success is closer to 0.50, Normal approximation can be used to approximate the binomial distribution.

The mean of X is:

$\mu_{x}=np=1600\times0.50=800\\$