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Rus_ich [418]
3 years ago
12

What is an equation in standard form of the line that has x-intercept 1 and y-intercept 4?

Mathematics
1 answer:
MariettaO [177]3 years ago
5 0

Answer:

  4x +y = 4

Step-by-step explanation:

The intercept form of the equation for a line is ...

  x/x-intercept +y/y-intercept = 1

For the given intercepts, this is ...

  x/1 +y/4 = 1

Multiplying by 4 gives the standard-form equation:

  4x +y = 4

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12 Over a period of several years in a sleep-therapy clinic, the average latency to fall asleep for adult males, age 20-30, has
Volgvan

Answer:

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8 0
2 years ago
Use the formula L= 10 log 10 R, where Is the loudness of a sound and R is the sound's relative intensity. to find out how much l
WINSTONCH [101]

Answer:

X=24.1decibels

Step-by-step explanation:

From the question we are told that:

Loudness function L= 10 log_{10} R

Sound of a person S_p=80\ decibels\ or 10^8

Number of persons talking n=20 people

 

Generally the Relative intensity for 20 people is mathematically given by

Relative intensity forR_{20}=20*10^8

Relative intensity forR_{20}=20^8

Generally the loudness for 20 people is mathematically given by

L_{20}= 10 log_{10} R

L_{20}= 10 log_{10} 20^8

L_{20}= 10 (8 log_{10} 20)

L_{20}= 104.1 decibels

Therefore increase in loudness X is given as

X=104.1-80=-52.90

X=24.1decibels

5 0
3 years ago
If
Rudiy27
Looking at this problem in terms of geometry makes it easier than trying to think of it algebraically.

If you want the largest possible x+y, it's equivalent to finding a rectangle with width x and length y that has the largest perimeter.

If you want the smallest possible x+y, it's equivalent to finding the rectangle with the smallest perimeter.

However, the area x*y must be constant and = 100.

We know that a square has the smallest perimeter to area ratio. This means that the smallest perimeter rectangle with area 100 is a square with side length 10. For this square, x+y = 20.

We also know that the further the rectangle stretches, the larger its perimeter to area ratio becomes. This means that a rectangle with side lengths 100 and 1 with an area of 100 has the largest perimeter. For this rectangle, x+y = 101.

So, the difference between the max and min values of x+y = 101 - 20 = 81.
6 0
3 years ago
I have to find the area of the shaded region. please helppp!!!!! xksnkskzks
IgorLugansk [536]

Answer:

9.53 cm2

Step-by-step explanation:

hope it helps

Here is the solution:

5 0
3 years ago
What proportional segment lengths verify that BC¯¯¯¯¯∥DE¯¯¯¯¯ ? Fill in the boxes to correctly complete the proportion. $$ = $$
Alborosie

answer is

4/6 then 3.2

took the test

5 0
3 years ago
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