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3 years ago

Did i do this right?

Mathematics

2 answers:

mylen [45]3 years ago

8 0

Yes you did do it correctly

Blizzard [7]3 years ago

6 0

i belive you are correct

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Perpendicular to the line 4x - 6y + 7 = 0 , passing through (3, 4) .

PilotLPTM [1.2K]

Answer:

The equation of line perpendicular to given line passing through (3,4) is:

$y = -\frac{3}{2}x+\frac{17}{2}$

Step-by-step explanation:

Given equation of line is:

$4x - 6y + 7 = 0$

Given equation is in standard form. It has to be converted into slope-intercept form to extract slope from the equation.

So,

$4x+7 = 6y\\6y=4x+7\\\frac{6y}{6} = \frac{4x+7}{6}\\y = \frac{4}{6}x+\frac{7}{6}\\y=\frac{2}{3}x+\frac{7}{6}$

The standard form of slope-intercept form of equation is:

$y=mx+b$

Here, the co-efficient of x is the slope of the line.

So the slope of given line is: 2/3

m = 2/3

The product of slopes of two perpendicular lines is -1

Let m1 be the slope of line perpendicular to given line

Then

$m.m_1 = -1\\\frac{2}{3} . m_1 = -1\\m_1 = -1*\frac{3}{2}\\m_1 = -\frac{3}{2}$

The equation of perpendicular will be:

$y = m_1x+b$

Putting the value of slope

$y = -\frac{3}{2}x+b$

To find the value of b, putting (3,4) in the equation

$4 = -\frac{3}{2}(3)+b\\4 = -\frac{9}{2}+b\\b = 4+\frac{9}{2}\\b= \frac{8+9}{2}\\b=\frac{17}{2}$

So the equation of line perpendicular to given line passing through (3,4) is:

$y = -\frac{3}{2}x+\frac{17}{2}$

7 0

3 years ago

I need help please.

tatuchka [14]

Answer:

63.17

Step-by-step explanation:

add all the numbers together which gives you 379

then 379 by how many numbers there are.

there are 6 numbers so divide 379 by 6 which equals 63.16666667

and if you round to the nearest hundredth it gives you 63.17

3 0

3 years ago

A pizzeria makes pizzas in different sizes and with different toppings. The pizzeria wants its customers to have 12 options when

Marat540 [252]

4 sizes and 3 toppings, 2 sizes and 6 toppings, 3 sizes and 4 toppings

6 0

2 years ago

Can anyone please help? I'm stuck on this problem

Mrrafil [7]

Answer:

I think 38.7 if you do<j it would be 38.7

8 0

3 years ago

Divide: 3/8 ÷ 5/12 = ?

77julia77 [94]

flip 5/12 to be 12/5 to make this equation multiplication

3/8*12/5 = 36/40 = 18/20 = 9/10

7 0

3 years ago

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