Algebra

4 2/3 divide 7 =>

14/3 divide 7/1 =

14/3 X 1/7 =

2/3 X 1/1 = 2/3 ( or 0.666.... recurring to infinity).

9625 = 96.25 * 100

NO!!!

The opposite sides are Parallel.

If it was four parallel sides it would be four parallel lines, with no intersections nor angles.

Definitely a parallelogram is a quadrilateral. It has its opposite sides to be parallel, and there are no right-angles.

The adjacent sides are NOT parallel, but angled.

An unpicker, also known as a seam ripper, is a sewing tool designed to remove stitches. It typically features a pointed end that can easily slide under stitches and a small blade to cut them. It is especially useful for correcting mistakes or altering garments without damaging the fabric. This tool is essential for any sewing project where adjustments or repairs are needed.

The ordinate of a point refers to its y-coordinate in a Cartesian coordinate system. For any point that lies on the x-axis, the y-coordinate is always zero. Therefore, the ordinate of a point on the x-axis is 0.

The transverse axis of a hyperbola is the line segment that connects the two vertices of the hyperbola and lies along the central axis between them. It is oriented horizontally for a hyperbola that opens left and right, and vertically for one that opens up and down. The length of the transverse axis is equal to twice the distance from the center of the hyperbola to each vertex. This axis is crucial for defining the shape and orientation of the hyperbola.

It opens DOWNWARD , like an 'umbrella'.

To solve the equation (1.75 = 0.2g), you need to isolate (g). This can be done by dividing both sides of the equation by (0.2):

[ g = \frac{1.75}{0.2} ]

Calculating that gives (g = 8.75). Thus, the solution is (g = 8.75).

In Boolean algebra, the complement of a variable is the opposite value of that variable. For a given variable ( A ), its complement is denoted as ( A' ) or ( \overline{A} ), and it takes the value 1 when ( A ) is 0, and vice versa. The complement operation is fundamental in Boolean expressions and is used to express the logical negation of a statement. This concept is essential for simplifying expressions and designing digital circuits.

A well-defined set has clear and unambiguous criteria for its membership, meaning that it is possible to determine whether any given element belongs to the set. For example, the set of all even numbers is well-defined because it follows a specific rule. In contrast, a not well-defined set lacks clear criteria, making it difficult to determine which elements belong to it; for instance, a set described as "all interesting things" is subjective and varies from person to person.

To factorize (x^2 - 81), recognize that it is a difference of squares. It can be expressed as ((x - 9)(x + 9)) because (81) is (9^2). Therefore, the factorization of (x^2 - 81) is ((x - 9)(x + 9)).

The gradient of the x-axis is zero. This is because the x-axis is a horizontal line, and there is no change in the y-coordinate as the x-coordinate varies. Mathematically, the gradient (or slope) is defined as the change in y divided by the change in x. Since the change in y is zero along the x-axis, the gradient remains zero.

The point-slope form of a line is given by the equation ( y - y_1 = m(x - x_1) ), where ( m ) is the slope and ( (x_1, y_1) ) is a point on the line. Given the point (-2, -6) and a slope of 13, the equation becomes ( y - (-6) = 13(x - (-2)) ). Simplifying this, we get ( y + 6 = 13(x + 2) ).

On the analogue clock it is 90 degrees.

Astronomically, The Sun moves 45 degrees.

To simplify the expression ((2x - 5)(5x + 9)), apply the distributive property (also known as the FOIL method for binomials).

1. Multiply the first terms: (2x \cdot 5x = 10x^2).
2. Multiply the outer terms: (2x \cdot 9 = 18x).
3. Multiply the inner terms: (-5 \cdot 5x = -25x).
4. Multiply the last terms: (-5 \cdot 9 = -45).

Now, combine the like terms: (18x - 25x = -7x).

Thus, the simplified expression is (10x^2 - 7x - 45).

1 yard is longer than 1 foot. (NOT bigger).

NB

Here is the Table of Imperial Linear Measure.

12 inches = 1 foot

3 feet = 1 yard ( The answer to your question).

22 yards = 1 chain (THe length of a cricket pitch)

10 chains = 1 furlong (furlong ; old English for furrows length ; ploughing a field).

8 furlongs = 1 mile.

Example: 30 and 42

Factor them.

2 x 3 x 5 = 30

2 x 3 x 7 = 42

Select the common factors.

2 x 3 = 6, the GCF

Select the highest amount of each factor.

2 x 3 x 5 x 7 = 210, the LCM

Check it.

30 x 42 = 1260

210 x 6 = 1260

It checks.

Remember and commit to memory ' Area of a circle equals 'pi' multiplied to radius squared.

Algebraically

A = pi r^(2)

For learning purposes pi always equals '3.14'.

Hence

A = 3.14 X (5.2 cm)^(2)

A = 3.14 X 27.04 cm^(2)

A = 84.9056 cm^(2).

Remember the Area of a Circle equal 'pi' multiplied to radius squared.

Algebraically.

A = pi r^(2)

Hence

r^(2) = A/pi

r = sqrt(A/pi)

Substituting

r = sqrt( 121 pi / pi )

Cancel down by 'pi'

r = sqrt(121)

r = 11 cm

A polygon with any number of sides can have an exterior angle that is larger than the corresponding interior angle. However, a triangle is the only regular polygon where the exterior angle is larger.

No. of sides = 360 / Exterior Angle.

e.g.

No. of sides for an exterior angle of 30 degrees.

No.(sides) = 360 / 30

No. of sides = 12. ( A Dodecagon.

To find what number to the third power equals 6128, you need to calculate the cube root of 6128. The cube root of 6128 is approximately 18.5. Therefore, around 18.5 to the third power is equal to 6128.

Remember 3feet - 1 yard.

So 127 feet = 127/3 = 42 1/3 yards. or 42.333.... yards.

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