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2 years ago

What is the slope of a line perpendicular to the line whose equation is 18x+3y=81 Fully simplify your answer.

Mathematics

2 answers:

S_A_V [24]2 years ago

7 0

Answer: m = $\frac{1}{6}$

Step-by-step explanation:

Find the slope of the line that is perpendicular to 18x + 3y = 81 :: m = 1/6

klasskru [66]2 years ago

3 0

Answer:

slope = $\frac{1}{6}$

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

18x + 3y = 81 ( subtract 18x from both sides )

3y = - 18x + 81 ( divide the terms by 3 )

y = - 6x + 27 ← in slope- intercept form

with slope m = - 6

given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{-6}$ = $\frac{1}{6}$

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Please help me i need help quick

RoseWind [281]

Answer:

x = -2

y = -6

Step-by-step explanation:

Equating the equations :

x - 4 = 4x + 2
3x = -6
x = -2

y = -2 - 4
y = -6

6 0

2 years ago

Read 2 more answers

What is the simplified form of the following expression? 7(^3 square root 2x) - 3 (^3 square root 16x) -3 (^3 square root 8x)

Pachacha [2.7K]

Answer:

The third option listed: $\sqrt[3]{2x} -6\sqrt[3]{x}\\$

Step-by-step explanation:

We start by writing all the numerical factors inside the qubic roots in factor form (and if possible with exponent 3 so as to easily identify what can be extracted from the root):

$7\sqrt[3]{2x} -3\sqrt[3]{16x} -3\sqrt[3]{8x} =\\=7\sqrt[3]{2x} -3\sqrt[3]{2^32x} -3\sqrt[3]{2^3x} =\\=7\sqrt[3]{2x} -3*2\sqrt[3]{2x} -3*2\sqrt[3]{x}=\\=7\sqrt[3]{2x} -6\sqrt[3]{2x} -6\sqrt[3]{x}$

And now we combine all like terms (notice that the only two terms we can combine are the first two, which contain the exact same radical form:

$7\sqrt[3]{2x} -6\sqrt[3]{2x} -6\sqrt[3]{x}=\\=\sqrt[3]{2x} -6\sqrt[3]{x}$

Therefore this is the simplified radical expression: $\sqrt[3]{2x} -6\sqrt[3]{x}\\$

5 0

3 years ago

Who is Pythagorean? when was he born? when did he die?

Rama09 [41]

Answer:

" Pythagoras established the first Pythagorean community in Crotone, Italy. Early Pythagorean communities spread throughout Magna Graecia. "

"was an ancient Ionian Greek philosopher and the eponymous founder of Pythagoreanism . " <---------- Credits to: Yahoo

He was born in about 570 BC on the Greek island of Samos

He died in 495 BC

4 0

3 years ago

A motel rents double rooms at $34 per day and single rooms at $27 per day. If 26 rooms were rented one day for a total of $807,

torisob [31]

Let, number of double rooms and single rooms are d and s.

d + s = 26 ....1 )

Hotel rents double rooms at $34 per day and single rooms at $27 per day.

34d + 27s = 807 ....2)

Solving equation 1 and 2, we get :

34( 26 - s ) + 27s = 807

884 - 34s + 27s = 807

7s = 77

s = 11

And d = 26 - 11 = 15

Therefore, number of double rooms and single rooms are 15 and 11.

Hence, this is the required solution.

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3 years ago

When a certain valve is open, 281 gallons go through it in one hour. The number of gallons that would go through in 94 hours is?

yarga [219]

281 gallons/ 60 min= 4.683 gallon per min
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Answer: 440.23 Gallons

8 0

3 years ago