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3 years ago

Find the point that partitions line segment AB with

Mathematics

1 answer:

Olegator [25]3 years ago

3 0

Answer:

We have to find point that partition line segment AB with end points (-5,3) (-1,-5) in ratio 1:3

Assume (-5,3) as ( a,b)

Assume (-1,-5) as (c,d)

Assume ratio 1:3 as m:n

Step-by-step explanation:

Remember this formula

Partition point =( mc + na)/m+ n , ( md+ nb)/m+n

=[ (1)(-1)+ 3(-5)]/1+3, ( 1(-5) + 3(3))/1+3

= -1 -15)/4,( -5 + 9)/4

= -16/4, 4/4

= -4, 1

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Logan bought 5 books that all cost the same amount. The total bill was

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Answer

$15.65

Step-by-step explanation:

78.25/5=15.65

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3 years ago

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Wingspans of adult horses have approximate normal distribution with mean 125 cm and standard deviation 12 cm. What are the rst a

blagie [28]

Answer:

The first and third quartile of the wingspans are 116.9 cm and 133.1 cm respectively.

Step-by-step explanation:

The first and third quartile of a normal distribution are:

$Q_{1}=\mu-0.675\sigma\\\\Q_{3}=\mu+0.675\sigma$

The information provided is as follows:

$\mu=125\\\sigma=12$

Compute the first and third quartile of the wingspans as follows:

$Q_{1}=\mu-0.675\sigma=125-(0.675\times 12)=116.9\\\\Q_{3}=\mu+0.675\sigma=125+(0.675\times 12)=133.1$

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3 years ago

Solve for r. <br><br> √2/3r + 1 = 23

Keith_Richards [23]

Answer:

2nd option

Step-by-step explanation:

$\frac{\sqrt{2} }{3}$ r + 1 = 23 ( subtract 1 from both sides )

$\frac{\sqrt{2} }{3}$ r = 22 ( multiply both sides by 3 to clear the fraction )

$\sqrt{2}$ r = 66 ( divide both sides by $\sqrt{2}$ )

r = $\frac{66}{\sqrt{2} }$ × $\frac{\sqrt{2} }{\sqrt{2} }$ ( rationalising the denominator )

r = $\frac{66\sqrt{2} }{2}$ = 33 $\sqrt{2}$

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3 years ago

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When she subtracts 4 from both sides, Startfraction one-half EndFraction x equals negative StartFraction one-half EndFraction x.

timama [110]

The value of x in the equation 1/2x = -1/2x when 4 is subtracted from both sides is 0(not defined)

Subtraction of fraction

Startfraction one-half EndFraction x equals negative StartFraction one-half EndFraction

1/2x = -1/2x

Subtract 4 from both sides

1/2x - 4 = -1/2x - 4

(x-8) / 2 = (-x-8) / 2

(x - 8) / 2 = (-x-8) / 2

cross product

2(x - 8) = 2(-x - 8)

2x - 16 = -2x - 16

2x + 2x = -16 + 16

4x = 0

Learn more about fraction:

brainly.com/question/11562149

#SPJ1

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2 years ago

An encyclopedia salesman earns a base pay of $23,900 per year and a commission of 11% of all sales made. If he sold $35,100 wort

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First, determine the amount that the encyclopedia salesman earned from commission by multiplying 11% by $35,100.

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Total earnings = $23,900 + $3,861
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<em>Answer: $27,761</em>

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3 years ago

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