11 th Grade Maths

Solving 11th grade math problem 2:

Solve the given mathematical linear equation and find the values of the given variables.

x + 3y + 5z = 18

x + 5y + 3z = 18

3x + y + 5z = 18

Solution:

Let as the given equations be identified as follows.

x + 3y + 5z = 18 ----------- (i)

x + 5y + 3z = 18 ----------- (ii)

3x + y + 5z = 18 ----------- (iii)

Consider the above given equations (i) and (ii). Subtracting the equation (i) and (ii) we get

x + 3y + 5z = 18

x + 5y + 3z = 18

-2y – 2z = 0 ------------------ (iv)

Consider the above given equations (ii) and (iii). In the equation (ii) multiply with a numerical 3, we get

3x + 15y + 18z = 54

Subtracting the equation (ii) and (iii) we get

3x + 15y + 18z = 54

3x + y + 5z = 18

14y + 4z = 36------------------- (v)

Consider the above equations (iv) and (v). In the equation (iv) multiply with the numerical 7, we get

-14y - 14z = 0

Subtract the equation (iv) and (v) we get

-14y - 14z = 0

14y + 4z = 36

18y = 36

Y = 2

Substitute y = 2 in (v) we get

14(2) + 4z = 36

28 + 4z = 36

z = 2

Substitute z = 2, y = 2 in (iii) we get

3x + 2 + 10 = 36

3x + 12 = 36

z = 2

Answers of a given algebraic variables are x = 2, y = 2, z = 2.

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Variance Formula

Calculating variance:

The Variance formula is:

From this formula they can find the population variance they sum up the squared individual scores && subtract from them the sum of the scores quantity squared divided by the number of scores Then variance the of this quantity divided by the number of scores. They can see that the only information they must make this calculation in the process of the sum of the scores, the sum of the squared scores, & the number of scores. The worksheet below shows these quantities.

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9th maths

Diagonal line

Math world

Super math world

Examples to super calculator online:

Solve: x² - 99x + 98 = 0

Solution:

Here a = coefficient of x² = 1

b = coefficient of x = -99

c = constant term = 98

For factoring a × c = 1× 98 = 98 = -1*-98, (-1) + (-98) = -99 = b.

x² - 99 x + 98 = 0

x² + (- 1 - 98)x + 98 = 0

x² – 1 x – 98 x + 98 = 0

x (x - 1) – 98 (x - 1) = 0

(x – 1) (x – 98) = 0

x = 1, 98

So, the answer is x = 1, 98.

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Intercept calculator

x intercept calculator

Find x & y intercept for the line equation 4x + 5y = 9
Solution:

Step 1: Given equation

4x + 5y = 9

Step 2: Find x intercept

To find x intercept, plug y = 0 in the given equation 4x + 5y = 9 & solve for x

4x + 5y = 9

Plug y = 0,

4x + 5(0) = 9

4x = 9

Divide both side of the equation by 4, they get

x = 2.25

Therefore, the x intercept of the equation 4x + 5y = 9 is (2.25, 0)

Step 3: Find y intercept

To

4x + 5y = 9

Plug x = 0,

4(0) + 5y = 9

5y = 9

Divide both side of the equation by 5, they get

y = 1.8

Therefore, the y intercept of the equation 4x + 5y = 9 is (0, 1.8)

Step 4: Solution

X intercept = (2.25, 0)

Y intercept = (0, 1.8)

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Factor rules

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Formula for mean

Definition of mean deviation

Definition of mean deviation

the expected value and the observed value difference of a function is called mean of deviation. The mean deviations absolute deviations mean of a set of data about the data's mean. It is an important expressive statistic that is not frequently used in mathematical statistics. This is basically mean deviation as the "mean deviation from the mean," the introduction of the complete value makes logical calculations using this statistic much more difficult.

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Lines

Lines:

Intersecting lines:

In the subsequent we are learning about the Lines:

The line is geometry shape. The types of the lines are

Parallel line- Not at all interconnect line is the parallel line

Perpendicular line: Right angle to each other is the perpendicular lines

Vertical line-perpendicular line is also known as the vertical line

Horizontal line-parallel line is also known as the horizontal lines

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pre solve algebra problems

Let us learn and understand pre solve algebra problems

A part from the algebra is defined as the pre algebra which uses the numbers and letters in problems with simplicity in solving the problems and it is also used in calculating distances. The pre algebra that is used here is contains dissimilar topics. Exponents, linear equations, integers, square roots, and fractions are included in pre algebra. Pre algebra also includes factors which is prime and also the numbers which is prime.

An unknown quantity is called a variable.

A statement or equality of two algebriac expressions involving a variable is called an equation.

An equation which contains only one varaible of degree 1 , is called a simple linear equations.

A word problem is a mathematical problem stated in words.

solved geometry problems

1) Same number can be added to both sides of an equation.

2) Same number can be subtracted from both sides of an equation.

3) Both sides of an equations can be multiplied by the same non-zero number.

4) Both sides of an equation can be divided by the same non-zero number.

geometry homework help students in self motivating and self leaning.