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2 years ago

Help! Find the coordinates of P so that P partitions the segment AB in the ratio 6:2 if A(−4,12) and B(9,−4).

Mathematics

1 answer:

LekaFEV [45]2 years ago

7 0

(5.75,0)

Let A be (x1,y1) , B be (x2,y2) , P be (x,y) and the ratio be m:n

Formula is,

x=(x2*m+x1*n)/(m+n)

y=(y2*m+y1*n)/(m+n)

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A circle with radius of \greenD{1\,\text{cm}}1cmstart color #1fab54, 1, start text, c, m, end text, end color #1fab54 sits insid

MatroZZZ [7]

Answer:

$8.86cm^2$

Step-by-step explanation:

Given the rectangle of 3cm by 4cm and a circle of 1 cm inside it:

The Area of the shaded portion =Area of Rectangle-Area of Circle

Area of a Rectangle=Length X Width $=3 X 4 =12cm^2$

Area of the circle = $\pi r^2=\pi X 1^1=3.142cm^2$

Area of the shaded portion=12-3.142

$=8.86cm^2$

6 0

2 years ago

Use the alternative curvature formula K=|a x v|/|v|^3 to find the curvature of the following parameterized curves.

neonofarm [45]

Answer:

$K=\frac{2}{(4t^{2}+1)^{\frac{3}{2}}}$

Step-by-step explanation:

First of all, we calculate v and a as:

$v(t)=\frac{dr(t)}{dt}=(2t,1,0)$

$a(t)=\frac{dv(t)}{dt}=(2,0,0)$

after that, we compute the cross product and we replace in the formula for k

a(t) X v(t) = (0,0,2)

| a(t) X v(t) | = 2

$| v |^{3} = (4t^{2}+1)^{\frac{3}{2}}$

Hence we have

$K=\frac{2}{(4t^{2}+1)^{\frac{3}{2}}}$

I hope this is useful for you

regards

8 0

2 years ago

Emanuel surveyed a random sample of 505050 subscribers to Auto Wheel magazine about the number of cars that they own. Of the sub

Anna [14]

Answer:

The most reasonable estimate for the number of Auto Wheel magazine subscribers who own fewer than 2 is 102

Step-by-step explanation:

We can build an estimate from a sample, and this estimate will be the best estimate for the proportion of the population.

Sample:

50 subscribers

15 own fewer than 2 vehicles

Proportion:

15/50 = 0.3 = 30% own fewer than 2 vehicles.

Based on the data, what is the most reasonable estimate for the number of Auto Wheel magazine subscribers who own fewer than 2 vehicles?

340 subscribers

The most reasonable estimate for this number is 0.3*340.

0.3*340 = 102

The most reasonable estimate for the number of Auto Wheel magazine subscribers who own fewer than 2 is 102

4 0

2 years ago

Four friends are playing a game. They randomly choose a handful of marbles from a bag. The player with the highest ratio of blue

Monica [59]

We are given the number of Blue and Purple Marbles for each of the four friends. So first we have to find the ratio of blue marbles to purple marbles for each of them.

A) Rosa

Number of blue marbles = 10

Number of purple marbles = 12

Ratio of blue to purple marbles = $\frac{10}{12}=0.833$

B) Chi

Number of blue marbles = 5

Number of purple marbles = 6

Ratio of blue to purple marbles = $\frac{5}{6}=0.833$

C) Alberto

Number of blue marbles = 5

Number of purple marbles = 12

Ratio of blue to purple marbles = $\frac{5}{12}=0.417$

D) Pedro

Number of blue marbles = 10

Number of purple marbles = 6

Ratio of blue to purple marbles = $\frac{10}{6}=1.667$

From the above calculations we can see that Pedro has the highest value of ratio for blue marbles to purple marbles. Also we can see Pedro is the only one for whom the number of blue marbles is more than the number of purple marbles. So this confirms that our calculation is correct.

Thus, the player which gets to go first is Pedro.

4 0

2 years ago

Read 2 more answers

Check all statements that are equivalent to If the sky is not clear, then you don't see the stars ? a. Clear sky is necessary an

IrinaVladis [17]

Answer: The answer is G

Step-by-step explanation:

If you don't see the stars, then the sky is not clear. This statement is equivalent to saying "If the sky is not clear, then you don't see the stars", because if you rearrange both statements you will find out that they are equivalent to each other.

Mark out all the words in each statement, you will discover that at the end you will have no word left on both side, its just as good as saying 1 - 1 = 0.

6 0

2 years ago

Read 2 more answers