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4 years ago

How to tell if a 15 year old boy likes me quiz for 13 year olds?

Mathematics

1 answer:

EleoNora [17]4 years ago

3 0

Http://www.allthetests.com/quiz30/quiz/1379266484/Does-He-Like-you-Back-10-13-year-olds-ONLY

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the value of k so that the line Containing the points (-8,k) and (-4,-8) is perpendicular) to the line containing the points (10

In-s [12.5K]

Answer:

$k= \frac{-34}{3}$

Step-by-step explanation:

<u>Step 1 :</u>-

<u>Perpendicular condition :-</u>

Two non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

$m_{2} = \frac{-1}{m_{1} }$

$m_{1} m_{2} = -1$

The given points are (-8,k) and (-4,-8)

$m_{1} = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

finding slope of the first line is $m_{1}$

using formula $m_{1} = \frac{-8-k}{-4+8}$

= $\frac{-8-k}{4}$

finding slope of the second line is $m_{2}$

using formula $m_{2} = \frac{--5+11}{5-10}$

= $\frac{6}{-5}$

<u>Step 3:</u>-

using perpendicular condition

The two lines are perpendicular and their slopes are

$m_{1} m_{2} = -1$

$(\frac{-k-8}{4} )(\frac{-6}{5} )= -1$

simplification,we get solution is

$\frac{6(k+8)}{20} =-1$

$6 k+48 =-20$

$6 k = -20 -48$

$6 k = -68$

$\frac{-68}{6}$

$k= \frac{-34}{3}$

<u>Final answer is </u>

$k= \frac{-34}{3}$

8 0

3 years ago

Solve the following simultaneous equations. Give your answer in the form a + b√3, where a and b are rational.

Savatey [412]

x + y = 3 -------------- i x2

2x - √3y = 5 ---------ii x1

Subtracting eq ii from i

2x + 2y = 6

- 2x - √3y = 5

-------------------------

2+ √3y = 1

y = 1/ 2+√3

= 2- √3y

#SPJ9

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2 years ago

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Answer:

I know for a fact that x is 4.3 so that means 4.2 is less than x and 4.4 is greater than x

here are the steps whether you like it or not

step:1 4.1^2+1.3^2=18.5

step:2 √18.5=4.3

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