All categories

3 years ago

Linear equations. write the standard form of an equation of the

Mathematics

1 answer:

erastova [34]3 years ago

7 0

Answer:

The standard form of an equation of the line that passes through the given point having slope is $y-y_{1} =m(x-x_{1}$

Step-by-step explanation:

The standard form of an equation of the line that passes through the given point ( $(x_{1} ,y_{1} )$ and having slope m is

$y-y_{1} =m(x-x_{1}$

another form of an equation of the line that passes through the given point ( $(x_{0} ,y_{0} )$ and having slope m is

$y-0 =m(x-0)$

y=m x

You might be interested in

3 to the power of -4

leva [86]

Three to the power of negative four is 81

3 0

2 years ago

Solve 3x^2=-12x-15 using a quadratic equation with complex solutions

adelina 88 [10]

The complex solution of a quadratic equation are (- 2 + i ) and

(- 2 - i ).

What is Quadratic equation?

An algebraic equation of the second degree is called a quadratic equation.

Given that;

A quadratic equation is;

3x² = -12x - 15

Now, The equation is written as;

3x² + 12x + 15 = 0

Take 3 common, we get;

3 (x² + 4x + 5) = 0

x² + 4x + 5 = 0

Factorize the equation by using Sridharacharya Formula;

x = - 4 ± √4² - 4*1*5 / 2*1

x = -4 ± √16 - 20 / 2

x = - 4 ± √-4 / 2

Since, √-1 = i

x = -4 ± 2i / 2

x = - 2 ± i

It gives two values of x as;

x = - 2 + i

And, x = - 2 - i

Hence, The complex solution of a quadratic equation are (- 2 + i ) and

(- 2 - i ).

Learn more about the quadratic equation visit:

brainly.com/question/24334139

#SPJ1

5 0

6 months ago

HELP! What is the volume in cubic inches of the solid figure, rounded to the nearest cubic inch?

Setler [38]

Answer:

Volume of the solid figure = 1131 cubic inches

Step-by-step explanation:

Volume of solid figure = Volume of half cylindrical prism + Volume of the rectangular prism

Volume of half cylindrical prism = $\frac{1}{2}(\pi r^2h)$

= $(\frac{1}{2})(\pi )(17-11)^2(6)$

= 339.29 cubic inch.

Volume of the rectangular prism = (length × width × height)

= 11 × 6 × 12

= 792 cubic inches

Volume of the solid figure = 339.29 + 792

= 1131.29

≈ 1131 cubic inches

8 0

2 years ago

what is the difference between the mean and the median of the following distribution? {1,1,1,2,2,2,2,3,3,4,4,4,4,5,5,6,7,7,8,8,9

iren2701 [21]

The given distribution =

1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4, 5, 5, 6, 7, 7, 8, 8, 9

To find mean, we have to add the given numbers and divide it by the total number of terms given.

Here 21 total numbers given.

Mean = (1+1+1+2+2+2+2+3+3+4+4+4+4+5+5+6+7+7+8+8+9) /21

= (88)/21 = 4.19 (Approximate upto two decimal place)

Median is the middle value of the distribution.

1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4, 5, 5, 6, 7, 7, 8, 8, 9

There are 21 numbers given. So middle value is the number in the 11th position.

The number in the 11th position is 4.

So, the median of the distribution = 4

We have to find the difference between mean and median here. To find the difference we have to subtract mean and median.

Therefore, the required difference = 4.19 - 4 = 0.19

0.19 is the required answer here.

So, option b is correct.

3 0

3 years ago

Read 2 more answers

3 ft<br> 10 ft<br> Perimeter:<br> Area:

Crazy boy [7]

Step-by-step explanation:

The area = 3 × 10 = 30

The perimeter = 2(3 + 10) = 26

please give me a brainliest answer

8 0

2 years ago