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pochemuha
3 years ago
15

Write the standard form of the line that contains a slope of 2/3 and passes through the point (1,1). Include your work in your f

inal answer. Type your answer in the box provided or use the upload option to submit your solution.
Mathematics
1 answer:
Simora [160]3 years ago
8 0

Answer:

2x - 3y = -1

Step-by-step explanation:

Standard form: Ax + By = C

Given: slope = 2/3 and  passes through the point (1,1)

Point slope form: y - y1 = m(x - x1)

Plug in

y - 1 = 2/3(x - 1)

Multiply both sides by 3

3(y - 1) = 2(x -1)

Distributive property

3y - 3 = 2x - 2

Since standard form: Ax + By = C so you can re-write the equation:

2x - 2 = 3y - 3

Subtract 3y from both sides

2x - 3y = -3

Add 2 to both sides

2x - 3y = -1

Answer in standard form: 2x - 3y = -1

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240 people could ride it in 3 hours. The rate per hour is 80 people.


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3 years ago
Richard earns 2700 a month. He received a 3% raise. What is Richards new annual salary
elena-14-01-66 [18.8K]

2700 \times 103\% = 2781 \: (monthly) \\ 2781 \times 12 = 33372 \: (annual)
The answer is $33,372

Hope this helps.

- Max
7 0
3 years ago
Can any1 answer this?If u can i get it right i put brainliest :)
Vera_Pavlovna [14]
The top answer is the right answer

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5 0
3 years ago
The original price of a stove is $570.00. If it has a 25% discount, find the selling price. *
Rom4ik [11]

Answer:

$357.50

Step-by-step explanation:

25%×570.00

(25/100)×570.00

= $142.50

S.P= O.P-D.P

= (570.00-142.50)$

= $357.5

7 0
3 years ago
A survey team is trying to estimate the height of a mountain above a level plain. From one point on the plain, they observe that
aliya0001 [1]

Answer:

5507.79 feet

Step-by-step explanation:

To find the height of the mountain, we can draw triangles as in the image attached.

Let's call the height of the mountain 'h', and the distance from the first point (31 degrees) to the mountain 'x'.

Then, we can use the tangent relation of the angles:

tan(34) = h/x

tan(31) = h/(x+1000)

tan(31) is equal to 0.6009, and tan(34) is equal to 0.6745, so:

h/x = 0.6745 -> x = h/0.6745

using this value of x in the second equation:

h/(x+1000) = 0.6009

h/(h/0.6745 + 1000) = 0.6009

h = 0.6009 * (h/0.6745 + 1000)

h = 0.8909*h + 600.9

0.1091h = 600.9

h = 600.9 / 0.1091 = 5507.79 feet

8 0
3 years ago
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