Algebra

To factorize ( x^2 - 49 ), you can recognize it as a difference of squares. It can be expressed as ( (x - 7)(x + 7) ), since ( 49 ) is ( 7^2 ). Therefore, the complete factorization is ( (x - 7)(x + 7) ).

A resograph is a type of printing machine that uses a stencil-based process, similar to risograph printing, to produce high-quality, vibrant prints. It combines digital printing technology with the efficiency of screen printing, allowing for quick, cost-effective reproduction of images and text. The resograph is often used for creating art prints, zines, and other materials where bold colors and unique textures are desired. Its eco-friendly ink and low energy consumption make it a popular choice for artists and small publishers.

Yes, (2a) and (2) do not have similar terms because they involve different variables. Similar terms must have the same variable raised to the same power. In this case, (2a) is a term with the variable (a), while (2) is a constant without any variable.

Points are plotted on a coordinate system using ordered pairs, typically in the format (x, y) for a two-dimensional Cartesian plane. The x-coordinate indicates the horizontal position from the origin, while the y-coordinate indicates the vertical position. To plot a point, start at the origin (0, 0), move along the x-axis to the x-value, and then move vertically to the y-value. This intersection of the two movements marks the location of the point on the grid.

Sin(Sine) is a cyclic curve.

This cyclic curve(wave) that repeats every 360 degrees ( or 2pi radian).

Its Amplitude ranges from (+)1 to (-)1

When learning about trigonometry(Trig.) you only learn the bit between 0 degrees and 90 degrees.

On extending this learning you will find it to be a cyclic curve.

The word 'Sine'(Sin) is from Latin and means 'curve'.

The word 'Cosine(Cos) means 'complimentary sine' . It is the same curve as Sine but shifted along the x-axis by 90 degrees.

Both systems use base-ten, symbols to represent quantities, addition-based grouping, and visual signs for numbers, helping record counts, trade, measurements, and basic calculations in daily life. We have Preschool Near Melakottaiyur provides a safe, hygienic, and nurturing environment where children can learn, play, rest, and grow under the supervision of trained caregivers.

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To solve a linear equation word problem, first, read the problem carefully to identify the variables and the relationships between them. Next, translate the words into a mathematical equation by determining how the quantities relate to each other. Then, solve the equation using algebraic techniques, such as isolating the variable. Finally, interpret your solution in the context of the original problem to ensure it makes sense.

To create a coordinate plane, start by drawing a horizontal line (the x-axis) and a vertical line (the y-axis) that intersect at a point called the origin (0,0). Then, label the axes with evenly spaced numbers, marking positive and negative values on each axis. Next, create a grid by adding additional lines parallel to the axes at regular intervals. Finally, label the quadrants (I, II, III, IV) to indicate the four sections of the plane.

The degree of an expression, particularly in the context of polynomials, refers to the highest power of the variable within that expression. For example, in the polynomial (3x^4 + 2x^2 - x + 5), the degree is 4 because the term with the highest exponent is (3x^4). In general, for expressions that are not polynomials, the concept of degree may vary or not apply in the same way.

NO!!!!

The 'hypotenuse' only refers to the longest side of a Right-Angled triangle.

Depending on the information given;-

If two other(shorter) sides are known, use Pythagoras.

h^(2) = a^(2) + b^(2)

If one angle and one side are given then you use Trigonometry .

Sin(angle) = opposite/ hypotenuse

hypotenuse = opposite/Sin(angle)

or

Cos(angle) = adjacent/hypotenuse

hypotenuse = adjacent/ Cos(Angle).

Apply Pythagoras.

11^(2) = 8^(2) + s^(2)

Algebraically rearrange

s^(2) = 11^(2) - 8^(2)

Factor

s^(2) = ( 11 - 8)(11 + 8)

s^(2) = 3(19)

s^(2) = 57

s = sqrt(57)

s = 7.549834435.... ~ 7.55 (2 d.p.).

NB

You can only factor two squared terms when there is a NEGATIVE (-) between them. You CANNOT factor two squared terms with a positive(+) between them.

The HYPOTENUSE is the side of a Right-Angled Triangle, opposite to the 90 degree angle.

It is the LONGEST side of a right angled triangle.

Impossible to tell from the given information.

You need at least the length of the other side , then apply Pythagoras.

or

An angular value and apply trigonometry.

NB You need the length of TWO sides or TWO angles.

For ANY triangle on a 2-dimensional surface ALWAYS add to 180 degrees.

Hence

20 + 90 + x = 180

110 + x = 180

x = 70 The value of the third angle.

OBTUSE (Blunt) is any angle between 90 degrees and 180 degrees.

ACUTE (Sharp) 9s any angle between 9 degrees and 90 degrees.

RIGHT ANGLE is EXACTLY 90 degrees.

The n these is REFLEX angle , which is any angle between 180 degrees and 360 degrees. ( The 'outside' angle of an acute, right-angle, or obtuse angle).

The equation ( y = mx ) represents a linear relationship between two variables, where ( m ) is the slope of the line, indicating the rate of change of ( y ) with respect to ( x ). This type of relationship suggests that as ( x ) increases or decreases, ( y ) will change proportionally, maintaining a constant ratio. Such relationships are common in situations like calculating distance traveled over time at a constant speed or determining cost based on a fixed price per unit.

To solve a system of equations using a graph, plot each equation on the same coordinate plane. The point where the graphs intersect represents the solution to the system, indicating the values of the variables that satisfy both equations simultaneously. If the lines are parallel, there is no solution, and if they overlap, there are infinitely many solutions. Analyzing the graph visually helps to understand the relationships between the equations.

3.41 x 1,3019234 /12347 x 8 + 13- 1804351 x 235-135425 x2 105 + 1- 1243818723847= 68935013828483769314151163591716 The hardest math problem is the one that you don't understand an therefore can't do.

The expression "137 plus x" represents the sum of 137 and a variable x. To find the value of this expression, you would need to know the value of x. Without that information, the expression remains as "137 + x."

In the expression ( y ), the variable ( y ) is referred to as a "dependent variable" if it represents an output that depends on other variables. If it stands alone without any context, it can simply be called a "variable." In some mathematical contexts, it may also be described as an "unknown" if it's part of an equation to be solved.

There are several ways to arrange four tiles, depending on how they can be positioned. One way is to place them in a straight line, either horizontally or vertically. Another option is to create a square or rectangle by positioning them in two rows of two. Additionally, you could stack them in a single column or form an L-shape. Lastly, tiles can be arranged in a zigzag pattern or in a more creative layout, depending on the design.

Yes, in a line graph, the X-axis is the horizontal axis, while the Y-axis is the vertical axis. The X-axis typically represents the independent variable, while the Y-axis represents the dependent variable. This arrangement allows for clear visualization of the relationship between the two variables being plotted.

Procambium is a type of meristematic tissue in plants that differentiates into primary vascular tissues, specifically xylem and phloem. It plays a crucial role in the development of the plant's transport system, facilitating the movement of water, nutrients, and sugars. As the plant grows, procambium contributes to the formation of vascular bundles, which are essential for maintaining the plant's structural integrity and overall health.

The highest exponent of the variable ( x ) in a polynomial is known as the degree of the polynomial. It is determined by identifying the term with the largest exponent of ( x ). For example, in the polynomial ( 4x^3 + 2x^2 - x + 7 ), the highest exponent is 3.