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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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3 years ago

Please help me! The waves of a tsunami are traveling at 600ft/min. The waves are 25 feet high and their period is 10 minutes. Wh

tatyana61 [14]

The distance in miles between each wave and the next is 1.14 miles. The correct option is c. 1.14 miles

<h3>Calculating Wavelength </h3>

From the question, we are to determine the distance in miles between each wave and the next. That is, we should determine the wavelength.

From the formula,

v = fλ

Where v is the velocity

f is the frequency

and λ is the wavelength

We can write that

λ = v/f

From the given information,

v = 600ft/min

Now, we will determine the frequency, f

f = 1/T

Where T is the period

From the given information,

T = 10 minutes

Thus,

f = 1/10 = 0.1 min⁻¹

Now, we can determine the wavelength

λ = v/f

λ = 600/0.1

λ = 6000 ft

Now, convert 6000 ft to miles

NOTE: 5280 ft = 1 mile

∴ 6000 ft = 6000/5280 miles

6000 ft = 1.14 miles

Hence, the distance in miles between each wave and the next is 1.14 miles. The correct option is c. 1.14 miles

Learn more on Calculating wavelength here: brainly.com/question/11281839

#SPJ1

4 0

2 years ago

Find the 12th term of the following geometric sequence. 10, 30, 90, 270,

DanielleElmas [232]

Answer:

Step-by-step explanation:

Since the above sequence is a geometric sequence

An nth term of a geometric sequence is given by

$A(n) = a(r)^{n - 1}$

where a is the first term

r is the common ratio

n is the number of terms

From the question

a = 10

To find the common ratio divide the previous term by the next term

That's

r = 30/10 = 3 or 90/30 = 3 or 270/90 = 3

Since we are finding the 12th term

n = 12

So the 12th term is

$A(12) = 10( {3})^{12 - 1}$

$A(12) = 10 ({3})^{11}$

Hope this helps you

8 0

4 years ago

Can someone answer this for me im really bad at math 6x+17

Maslowich

Answer:

It cannot be answered if we don't figure out what x means. IF we knew what X is we can multiply 6 by x and then add 7.

an example would be if x was 3. we could figure out the answer by just doing (6*3)+7=25

7 0

2 years ago