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Effectus [21]
4 years ago
15

Write an equation of a line perpendicular to y = 2/7x - 5 through (2, -3)

Mathematics
1 answer:
AfilCa [17]4 years ago
5 0

Hi there! :)

Answer:

\huge\boxed{y = -7/2x + 4}

Given equation:

y = 2/7x - 5

A perpendicular line will have a slope that is the opposite reciprocal, therefore:

2/7 --> -7/2

Substitute the x and y coordinates of the point given to write an equation in slope-intercept form:

(-3) = -7/2(2) + b

Simplify:

-3 = -7 + b

-3 + 7 = b

b = 4

Rewrite the equation:

y = -7/2x + 4

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Gwar [14]

Answer:

Since weight is directly dependent on the acceleration of gravity, things on the Moon will weigh only 16.6% (≈ 1/6) of their weight on Earth.

Step-by-step explanation:

Being that the moon has a gravitational force of 1.622m/s2, we multiply the object's mass by this quanitity to calculate an object's weight on the moon. So an object or person on the moon would weigh 16.5% its weight on earth. Therefore, a person would be much lighter on the moon.

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5 0
3 years ago
I really need help, please? :)
son4ous [18]
124* or 56* good luck
6 0
4 years ago
The Regency Hotel has enough space at its entrance for six taxicabs to line up, wait for guests, and then load passengers. Cabs
maksim [4K]

Answer:

The appropriate solution is:

(1) 22.81 minutes

(2) 0.171

Step-by-step explanation:

According to the question, the values will be:

The service rate of guess will be:

= 5+3.5

= 8.5 \ minutes

The mean arrival rate will be:

\lambda =\frac{60}{5}

  =7.5 \ cabs/hr

The mean service rate will be:

\mu= 7.05 \ cabs/hr

(1)

The average time a cab must wait will be:

⇒ W_q=22.95-\frac{1}{7.05}

⇒       =\frac{161.798-1}{7.05}

⇒       =\frac{160.798}{7.05}

⇒       =22.81 \ minutes

(2)

The required probability will be:

⇒ P(X\geq 6)=\frac{1-2.115}{1-7.5}

⇒                  =\frac{-1.1115}{-6.5}

⇒                  =0.171

6 0
3 years ago
Given log3 2=0.631 log3 7=1.771 what is log3 14?
Leni [432]
In logarithm, inverse operations are applied.
log_3{14} =  log_3{7} +   log_3{14} \\ log_3{14} = 0.631 + 1.771 \\log_3{14} = 2.402
5 0
3 years ago
Read 2 more answers
13 add 2x equals 3 what does x equal??
Anastasy [175]
13 + 2x = 3
subtract 13 from both sides of the equation
2x = -10
divide by 2 on both sides 
x = -5
5 0
3 years ago
Read 2 more answers
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