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Leni [432]
2 years ago
14

What is the equation of the line through (5,1) with a slope of -3

Mathematics
1 answer:
Novosadov [1.4K]2 years ago
4 0

Answer:

Step-by-step explanation:

(5,1) ;  m = -3

Line equation: (y - y₁)= m(x - x₁)

y - 1 =  -3 * (x - 5)

y - 1 = -3x + 15

3x + y = 15 + 1

3x + y = 16

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Amar is five years older than his sister. The sum of their ages is 39. Find Amar's age.
Vesna [10]
Amar's age = a
sister is a - 5
add both = 39
a + (a - 5) = 39
2a - 5 = 39
2a = 44
a = 22 and sister is 17
7 0
3 years ago
Ishaan is 222 times as old as Christopher. 353535 years ago, Ishaan was 777 times as old as Christopher.
klemol [59]
<h3><u>Question:</u></h3>

Ishaan is 2 times as old as Christopher. 35 years ago, Ishaan was 7 times as old as Christopher. How old is Christoper now?

<h3><u>Answer:</u></h3>

The present age of Christoper is 42 years old

<h3><u>Solution:</u></h3>

Given that Ishaan is 2 times as old as Christoper

Let the present age of Christoper be "x"

Then, Present age of Ishaan = 2 times as old as Christoper

present age of Ishaan = 2x

<em><u>35 years ago, Ishaan was 7 times as old as Christopher</u></em>

Age of Ishaan 35 years ago = Present age of Ishaan - 35

Age of Ishaan 35 years ago = 2x - 35

Similarly,

Age of christoper 35 years ago = Present age of christoper - 35

Age of christoper 35 years ago = x - 35

From given statement, 35 years ago, Ishaan was 7 times as old as Christopher

Age of Ishaan 35 years ago = 7 times the age of Christoper 35 years ago

(2x - 35) = 7(x - 35)

<em><u>Solve the above equation for "x"</u></em>

2x - 35 = 7x - 245

2x - 7x = -245 + 35

-5x = -210

<h3>x = 42</h3>

Thus present age of Christoper is 42 years old

5 0
3 years ago
A taxicab charges $1.85 for the first quarter-mile and then $0.25 for every quarter mile after the first. The cost for a 17.5 mi
Roman55 [17]

Answer:

$19.10

Step-by-step explanation:

So since he charges $1.85 for the first quarter mile we can keep that as it is for now. If we add 0.25 4 times to make it $1 that would be a mile. We just have to add $17.25 plus the original $1.85 fee

8 0
2 years ago
Read 2 more answers
Maggie's brother is 4 years younger than three times her age. The sum of their ages is 16.
bearhunter [10]

Answer:

Maggie is 5 years old

Step-by-step explanation:

3M-4+M=16

add 4 to both sides

4M=20

Divide both sides by 4

20/4 = 5

M/Maggie is 5

7 0
3 years ago
Help!!! Please!!! I’ll mark you brainliest first person to answer!!! :)
katovenus [111]
I think it would be 9, but the graph seems a bit unclear so I’m really sorry if that doesn’t help..
7 0
2 years ago
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