Algebra

3- sided ; Isosceles or Scalene triangles .

4 sided ; Rectangles, Parallelograms, Trapezium, Kite. Only Squares and Rhombii are regular ; all sides of equal length .

Regular polygon ; ALL the sides are of EQUAL length.

Irregular polygon ; the sides may be of different lengths,

In a regular polygon ALL the sides must be of equal length.

A Rectangle MUST have four(4) right angles. .

The prefix 'Recto' is from Latin and means 'Right'.

So Rectangle means right angles.

five-hundred million

Cholecystokinin (CCK) is a hormone produced by the intestinal cells in response to the presence of fats and proteins in the digestive tract. Its primary functions include stimulating the gallbladder to contract and release bile, which aids in the digestion of fats, and promoting the secretion of digestive enzymes from the pancreas. Additionally, CCK plays a role in regulating appetite by signaling satiety to the brain.

The expression (3x(12 - xy - 4y)) can be simplified by distributing (3x) to each term inside the parentheses. This results in (3x \cdot 12 - 3x \cdot xy - 3x \cdot 4y), which simplifies to (36x - 3xy^2 - 12xy). Therefore, the simplified expression is (36x - 3xy - 12xy).

To convert the equation (4x + 5y = 20) into slope-intercept form (y = mx + b), first, isolate (y). Start by subtracting (4x) from both sides: (5y = -4x + 20). Then, divide by 5: (y = -\frac{4}{5}x + 4). Thus, the slope-intercept form is (y = -\frac{4}{5}x + 4).

The expression "14y 2 25 3y" appears to be a combination of terms involving the variable ( y ). To clarify, if you meant to write a mathematical expression, it could involve operations such as addition or multiplication, but as it stands, it lacks clear operators. Please provide more context or specify the operations intended between the numbers and variables for a proper evaluation.

To find the intercepts of a line, you need to determine where the line crosses the x-axis and y-axis. The x-intercept occurs when y = 0, while the y-intercept occurs when x = 0. You can find these intercepts by substituting the respective values into the line's equation and solving for the other variable. For example, in the equation (y = mx + b), the x-intercept is (-b/m) and the y-intercept is (b).

To put the numbers in order from smallest to largest, we can compare their values: 0.005 is the smallest, followed by 0.05, then 0.5, and finally 0.5 (which is the same as the previous 0.5). Therefore, the order is 0.005, 0.05, 0.5, 0.5.

The drawFrame function is typically used in graphical programming to render a visual frame or update the display within a loop, often in games or animations. It handles the drawing of objects, updating their positions, and refreshing the screen to create smooth motion. This function is crucial for maintaining a consistent visual experience and ensuring that changes in the scene are accurately represented in each frame rendered.

To simplify the expression ( 4(3y - 1) - 3(2y)4 ), first distribute the terms:
( 4(3y) - 4(1) - 3(2y)4 = 12y - 4 - 24y ).
Now, combine like terms: ( 12y - 24y - 4 = -12y - 4 ).
Thus, the simplified expression is ( -12y - 4 ).

FACTOR is splitting a quadratic equation into its component parts.

FOIL is a mnemonic for combining the component parts of a quadratic equatuin.

F ; First

O ; outside

I ; inside

L ; last.

Hence

The quadratic eqiation x^(2) - x - 6

Can be FACTORED as ' (x - 3)(x + 2)

To build the quadratic eq'b of ( x - 3)(x + 2)

Use FOIL

F ; First ; x X x = x^(2) (The first terms in each bracket)

O ; Outside ; x X 2 = 2x (The terms at the extreme ends(outside) of each bracket

I ;I Inside ' -3 X x = -3x ( The terms at the inside /adjacent to ) each other.

L ; Last ; -3 X 2 = -6 (The last terms in each bracket .

Hence collect terms

x^(2) + 2x - 3x - 6

= x^(2) - x -6

Example

[3/4] / [ 5/20]

The rule for division of fractions is CHANGE THE SIGN TO MULTIPLY (X) AND INVERT (TURN OVER) THE DENOMINATING(RIGHT HAND) FRACTION. Then proceed as multiplying fractions.

Hence

3/4 X 20/5

Cancel down by '4'

3/1 X 5/5 =

Cancel down by '5'

3/1 X 1/1 3/1 = 3 The answer!!!!!

Similarly

[2 3/4] / [ 5 3/20]

Convert to improper fractions.

[11/4] / [103/20]

11/4 X 20/103

Cancel down by '4'

11/1 X 5/103 =

55/103 The answer!!!!!

Horace is Horribly wrong.

2 x 10 = 20

2 x 11 = 22

20 is NOT equal to '22' , because 10 is NOT Equal to '11'

For division of decimals. #

22.608 & 3.6

Shift the decimal point in BOTH numbers so many places to the right, so that the denominator is a whole number.

Hence

226.08 & 36

Then divide by '36'

Since '36' is 6 X 6 or 3 x 12

We can divide 226.08 by '6' . The answer is then divided by '6' again .

Hence #

6)226.08 = 37.68

Hence

6)37.68 = 6.28 The answer.

Sixty three and eighty five one hundredths

To determine the value of the RANGE when the DOMAIN is 2, we need a specific function or equation to evaluate. Without knowing the function associated with the DOMAIN of 2, we cannot provide a definitive RANGE value. Please provide the function or context for a more accurate answer.

The equation ( x^2 - 7x = 0 ) can be factored as ( x(x - 7) = 0 ). This gives two solutions: ( x = 0 ) and ( x = 7 ). Therefore, the values of ( x ) that satisfy the equation are 0 and 7.

The numbers are: (-12+square root of 171) and (-12-square root of 171)

The punchline for Lux soap is "Lux, the beauty soap." It emphasizes the brand's association with beauty and luxury, suggesting that using Lux will enhance one's skin and overall appearance. The tagline often conveys a sense of indulgence and self-care, appealing to consumers looking for premium skincare products.

The 17th perfect square is calculated by squaring the number 17. Therefore, (17^2 = 289). Thus, the 17th perfect square is 289.

An isoceles triangle has two angles that are the same length with the third being different. It can be a right angle or another angle. or it's also called a Right Isosceles triangle.

Use Trigonometry.

Sine(Angle) = opposite/ hypotenuse => angle = Sin^(-1)[opposite/hypotenuse[

Cosine(angle) = adjacent /hypotenuse => angle = Cos^(-1)[adjacent/hypotenuse]

Tangent(angle) = opposite/adjacent => angle = Tan^(-1)[opposite/adjacent].

These trig. functions are often reduced to SOH,CAH,TOA.

Depending on your calculator the inverse buttons can be

Sin^(-1) or ArcSin

Cos^9-1) = ArcCos

Tan^(-1) = ArcTan

For example. The side lengths are 5,12,13

Hence

Sin(angle) = opposite/hypotenuse = 5/13

Angle = Sin^(-1) [ 5/13]

Angle = 22.61986495.... degrees.

or

Angle ~ 22.6 ( 1.d.p.).

Simillarly for the other angles, but make sure you use the correct Trig. Function.