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kodGreya [7K]
3 years ago
15

Write the equation of the line y=(5)/(6)x+(7)/(6) perpendicular to

Mathematics
1 answer:
Travka [436]3 years ago
4 0

Answer:

6x + 5y + 13 = 0.

Step-by-step explanation:

y = 5/6x + 7/6

Gradient = 5/6

Since the line is perpendicular to y = 5/6x + 7/6

then its gradient is -6/5.

Hence its equation is: point (-8,7).

y - 7 = -6/5(x -(-8))

multiplying through by 5 we get;

5y - 35 = -6(x + 8)

5y - 35 = -6x - 48

6x + 5y + 13 = 0

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Find the series in A.P whose sum to n terms is n*(n+2)​
Lemur [1.5K]

Answer:

3, 5, 7, 9, 11, .........

Step-by-step explanation:

Given

S_{n} = n(n + 2) , then

S₁ = 1(1 + 2) = 1(3) = 3 ⇒ a₁ = 3

S₂ = 2(2 + 2) = 2(4) = 8

S₃ = 3(3 + 2) = 3(5) = 15

Thus

a₂ = S₂ - S₁ = 8 - 3 = 5

a₃ = S₃ - S₂ = 15 - 8 = 7

The first 3 terms are 3, 5, 7

This is an AP with common difference d = 2, then

a₄ = a₃ + 2 = 7 + 2 = 9

a₅ = a₄ + 2 = 9 + 2 = 11

and so on

3 0
3 years ago
Please answer quickly
Pie
Answer: subtraction
Reasoning: You need to subtract 3 from both sides first.
7 0
3 years ago
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It takes 0.0015 quart of paint to cover 1 square inch.
lorasvet [3.4K]

The total amount of paint needed is 15 quart and it cost $41.25.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

0.0015 quart of paint to cover 1 square inch.

Let the area of the rectangle be 10000 in², hence:

Amount of paint = 0.0015 quart per in² * 1000 in² = 15 quart

Cost of paint = $2.75 per quart *  15 quart = $41.25

The total amount of paint needed is 15 quart and it cost $41.25.

Find out more on equation at: brainly.com/question/2972832

4 0
3 years ago
80% of what number is 64
Thepotemich [5.8K]
Make an equation.

80% = 0.8

'of' is multiplication

'what number' is 'x'

'is' is an equal sign

0.8 * x = 64

0.8x = 64

Divide 0.8 to both sides:

x = 80
5 0
3 years ago
Please answer the ones that have red dots on them my mom said those ones are wrong copy and paste then add your answer please:)
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1.) 14

2.) 10

3.) 7 : 6

5.) 80

6.) 8 : 7

these are all i have the time to answer i'm sorry!

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3 years ago
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