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nadezda [96]
3 years ago
6

Find the equation of a line that is perpendicular to 4x+6y=1 that has a greater y intercept compared to 2x+3y=18

Mathematics
1 answer:
Marina86 [1]3 years ago
7 0

Answer:

4y = 6x + 40

Step-by-step explanation:

The general equation of a straight line is y = mx + b

m is the slope and b is the y-intercept

let us write both equations in this form;

we have this as;

6y = -4x + 1

y = -4x/6 + 1/6

and;

2x + 3y = 18

3y = -2x + 18

y = -2x/3 + 6

So firstly we want to find an equation that is perpendicular to the first

When two lines are perpendicular, their slopes has a product of -1

The slope of the first line is -4/6

let the slope of the line we want be m

As per they are perpendicular;

-4/6 * m = -1

-4m/6 = -1

-4m = -6

m = 6/4

So now, we want the y-intercept greater than that of the second equation which is a y-intercept of 6

we can choose 10

and we have the equation as:

y = 6x/4 + 10

multiply through by 4

4y = 6x + 40

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The sum of three consecutive odd numbers is 39. What is the smallest of these numbers?
8_murik_8 [283]

Step-by-step explanation:

As, they all are consecutive and odd

The equation = x + (x + 2) + (x + 4) = 39

X represent the first number and also the smallest one

X + 2 is the 2nd number, it's consecutive and odd so we need to add 2

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So it's 11

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A student purchases school supplies at a store where the sale tax is 7%. The pre-tax price of the supplies is $48. What is the t
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Answer:

I don't have any information on this question.

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