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3 years ago

If a line is perpendicular to y=-2/3x+2, will it be perpendicular to 2x+3y=12?

Mathematics

1 answer:

vova2212 [387]3 years ago

7 0

Answer:

3x + 2y = -2 

Step-by-step explanation:

Given Equation is − 2 x + 3 y = 12

3 y = 2 x + 12

y = ( 2 /3 ) y + 12

Slope of this line is m = 2/ 3 

Slope of Line A  m a = 2 

Slope of Line B m b = 2/ 3 

Slope of Line C m c = − ( 2 /3 ) 

Slope of Line D m d = − ( 3 /2 ) 

since m d = − 1 /m , D is perpendicular to the given line

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Over the interval [0,2pi), what are the solutions to cos(2x) = cos(x)? check all that apply

kykrilka [37]

$\cos(2x) = \cos(x)$

Solution (1)

$2x = x + 2k\pi$

$2x - x = 2k\pi$

$x = 2k\pi$

for k=0 / for k=1 / for k=-1

x=0 / x=2π / x=-2π

acc / acc / rej

solution (2)

$2x = - x + 2k\pi$

$2x + x = 2k\pi$

$3x = 2k\pi$

$x = \frac{2k\pi}{3}$

for k=0 / for k=1 / for k=-1

x=0 / x=2π/3 / x=-2π/3

acc / acc / rej

Note that i'm trying values of K which make the answer belong to our interval;

So our solution which i will represent as a set is;

S € {0,2π/3,2π}

6 0

2 years ago

<img src="https://tex.z-dn.net/?f=100%20%5Ctimes%2068%20%5Cdiv%2015" id="TexFormula1" title="100 \times 68 \div 15" alt="100 \ti

goldfiish [28.3K]

The answer is 453 rounded

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3 years ago

Discussion Topic

ASHA 777 [7]

The term "exponential growth" refers to a very rapid increase in number while the term "exponential decay" refers to a very rapid decrease in number.

<h3>Exponential growth</h3>

The "exponential" typically connotes something that happens very rapidly. Hence, it is safe to say that a suitable synonym for the word "exponential" is the word "rapid".

Hence, "exponential growth" refers to a very rapid increase in number while the term "exponential decay" refers to a very rapid decrease in number.

Learn more about exponential growth: brainly.com/question/1340582

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2 years ago

X-26 over -9= 5 please help quick

nexus9112 [7]

Answer:

x = -19

Step-by-step explanation:

$\frac{x-26}{-9}=5$