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Alex787 [66]
3 years ago
13

Find the equation of the line perpendicular to 2y-5=3x+7 that passes through the point (11,1)

Mathematics
1 answer:
Crank3 years ago
5 0
Y= -2/3x + 8 1/3

Because:

First I found the equation, y=3/2x+12
Next, to find the perpendicular equation heres what you do. The yint does not matter, it changes completely so we should just get rid of it to equal. y=3/2x Next, we changed the slope. For perpendicular lines, we flip the fraction then make it the opposite (negative to positive or positive to negative) Which would make this slope to now be -2/3 Filter that into the equation to be, y=-2/3x Now to find the yint we use this point, (11,1) We multiple the slope by the first number 11. 11 times -2/3x equals -7 1/3
The yint is the number that you need to add for -7 1/3 to equal 1. Because 1 is the second number of (11,1) This number is 8 1/3 so,

y= -2/3x + 8 1/3

Hope I wasnt too confusing


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Bob is reading a 445 page book. He has already read 157 pages. If he reads 24 pages a day, how long will it take him to finish t
Sever21 [200]

Answer:

12 days

Step-by-step explanation:

Set up an equation with y = mx + b, where m is the rate and b is the y-intercept (starting value)

Let x represent how many days it takes and y represent how many pages he read:

445 = 24x + 157

Solve for x:

288 = 24x

12 = x

So, it will take him 12 days to finish the book

3 0
3 years ago
Read 2 more answers
Palindrome numbers are numbers that read the same foward or backward. Here are some palindrome numbers: 11, 121, 75257, and 1234
KatRina [158]

Answer:

99.

Step-by-step explanation:

A palindrome number is one that can be read in the same way both from the front and from the back. A clear example is the number 242, which starts and ends in the same way from the front or back.

Between 10 and 100, there are 9 palindromes, from 11 to 99. In turn, between 100 and 200, 200 and 300 and so on, each hundred has within it 10 palindromes (101, 111, 121, 131, 141 , 151, 161, 171, 181 and 191, for example).

Therefore, considering the 9 hundreds between 100 and 1000, there will be 90 palindromes, which added to the 9 between 10 and 100 give a total of 99 palindromes.

6 0
3 years ago
Solve the linear system by using Substitution. Enter your answer as an ordered pair.
MAXImum [283]

Answer: {y,x} = {4,2} ) ) ) )4

Step-by-step explanation: y

[2] y = -2x + 8

// Plug this in for variable y in equation [1]

[1] (-2x+8) - x = 2

[1] - 3x = -6

// Solve equation [1] for the variable x

[1] 3x = 6

[1] x = 2

// By now we know this much :

y = -2x+8

x = 2

// Use the x value to solve for y

y = -2(2)+8 = 4

Solution :

{y,x} = {4,2}

7 0
3 years ago
Read 2 more answers
George walks to a friend's house. He walks 750 meters North, then realizes he walked too far. He turns around and walks 250 mete
Hunter-Best [27]

Answer:

The velocity in meter per seconds is 76.9m/s

Step-by-step explanation:

The total distance walked is 1000m

Velocity= distance/time

= 1000/13

= 76.9m/s

The speed and velocity is used interchangeably therefore the speed is also 76.9 m/s

8 0
3 years ago
the sum of the digits of a two number is 14 .if 36 is substracted from the number,the places of the digits are reversed.find the
Taya2010 [7]
The number in the ones place= X
The number in the tenths place= y
y+x=14.
y=14-x

Original placement of numbers=10y+x
New placement of numbers(after subtraction of 36)= 10x+y

10y+ x-36=10x+y
Substitute y with 14-x
So we would get

10(14-x)+ x-36=10x+(14-x)
=140-10x+x-36=10x+14-x
After transposing we get
140-14-36=10x-x+10x-x
=90=18x
X=90/18
x=5

Y=14-x
=14-5
=9


So the two digit number is
10y+x
=90+5
=95
5 0
3 years ago
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