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3 years ago

given MP m(-12 -5) and p(9,-12) if N lies on MP such that the ratio of MN to NP is 3:4, Find the coordinates of N

Mathematics

1 answer:

Nataly_w [17]3 years ago

8 0

Answer:

The coordinates of N are (-3,-8)

Step-by-step explanation:

Here, we are going to use the internal division to find the coordinates of the point split the line segment MP in the ratio 3:4

Mathematically, that would be;

(x,y) = (nx1 + mx2)/(m + n), (ny1 + my2)/(m + n)

we have;

m = 3 and n = 4

M is (x1,y1) while N is (x2,y2)

we have;

(x,y) = (4(-12) + 3(9))/(3+4) , (4(-5) + 3(-12))/(3+4)

(x,y) = (-48 + 27)/7, (-20 -36)/7

(x,y) = (-21/7 , -56/7)

(x,y) = (-3,-8)

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Which of the following expressions are equivalent to -0.5(1.7+1.7)−0.5(1.7+1.7)minus, 0, point, 5, left parenthesis, 1, point, 7

Allisa [31]

The expressions equivalent to -0.5(1.7+1.7) are -0.5(1.7) - 0.5(1.7)

and 2(-0.5(1.7))

<h3>Distributive law of expansion</h3>

Given the expression below;

-0.5 (1.7 + 1.7)

According to the distributive law;

A(B+C) = AB + AC

Expand

-0.5(1.7) + (-0.5)(1.7)

-0.5(1.7) - 0.5(1.7)

2(-0.5(1.7))

Hence the expressions equivalent to -0.5(1.7+1.7) are -0.5(1.7) - 0.5(1.7)

and 2(-0.5(1.7))

Learn more on distributive law here: brainly.com/question/25224410

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2 years ago

15. Over what range of angles does the value of sin(O) consistently increase?

Ronch [10]

Answer:

D. 0° to 90°

Step-by-step explanation:

If we see curve of sin(o) on coordinate, we will notice that value of sin curve increases from 0 to 90 degrees and then decreases from 90 to 180 degrees.

Hence option D is correct.

Alternatively

we see that

sin 0 = 0

sin 30 = 1/2

sin 45 = 1/ $\sqrt{2}$

sin 60 = $\sqrt{3} /2$

sin 90 = 1

Thus, we see that value of sin is increasing from 0 to 90

now lets see value of sin from 90 to 180

sin 90 = 1

sin 120 = $\sqrt{3} /2$

sin 135 = 1/ $\sqrt{2}$

sin 150 = 1/2

sin 180 = 0

Thus, we see that value of sin is decreasing from 90 to 180.

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3 years ago

Assume that the Poisson distribution applies and that the mean number of aircraft accidents is 9 per month. Find P(0), the prob

Ugo [173]

Answer: 0.0001

It is unlikely to have a month with no aircraft accidents .

Step-by-step explanation:

Given : Mean number of aircraft accidents = 9 per month

The Poisson distribution formula :-

$\dfrac{e^{-\lambda}\lambda^x}{x!}$ , where $\lambda$ is the mean of the distribution.

If X = the number of aircraft accidents per month, then the probability that in a month, there will be no aircraft accidents will be :-

$\dfrac{e^{-9}(9)^0}{0!}=0.000123409804087\approx0.0001$

Hence, the probability that in a month, there will be no aircraft accidents = 0.0001

Since this is less than 0.5 , therefor it is unlikely to have a month with no aircraft accidents .

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3 years ago

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maria [59]

Answer:

2:2 and 3:4

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2 years ago

What is the answer to this question I can’t work it out Ni=n02(yi-yo)/t2

mr_godi [17]

Changing the subject of an equation involves solving for another variable in the equation

The equation of t is $t=\frac{\sqrt{y_i-y_o}}{N}$

<h3>How to change the subject of the equation</h3>

The equation is given as:

$N=\sqrt[2]{\frac{y_i-y_o}{t^2}}$

Rewrite the equation as:

$N=\sqrt{\frac{y_i-y_o}{t^2}}$

Evaluate the square root of t^2

$N=\frac{\sqrt{y_i-y_o}}{t}$

Multiply both sides by t

$Nt=\sqrt{y_i-y_o}$

Make t the subject, in the above equation

$t=\frac{\sqrt{y_i-y_o}}{N}$

Hence, the equation of t is $t=\frac{\sqrt{y_i-y_o}}{N}$

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2 years ago