Algebra

A convex polygon with four sides is called a quadrilateral, and the sum of its interior angles is 360°. This is determined using the formula (n − 2) × 180°, where n represents the number of sides. Substituting 4 for n gives (4 − 2) × 180° = 360°. Whether it is a square, rectangle, parallelogram, rhombus, or trapezoid, every convex quadrilateral has interior angles that add up to 360°.

The long saphenous vein, also known as the great saphenous vein, functions primarily to transport deoxygenated blood from the lower limb back to the heart. It runs along the length of the leg, collecting blood from smaller veins and draining into the femoral vein near the groin. Additionally, it plays a role in thermoregulation and venous return, helping maintain blood flow and pressure during physical activity.

1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,

000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,

000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000

There are 10000 such codes. Each of the numbers 0-9 can be in the first position. With each such first digit, each of the numbers 0-9 can be in the second position. With each such pair of the first two digits, each of the numbers 0-9 can be in the third position. etc.

The line containing the points (3, 3) and (1, 3) is horizontal because both points have the same y-coordinate of 3. This means the line does not rise or fall as it moves from left to right; it remains constant at y = 3. Therefore, the direction of the line is to the left and right along the y = 3 level.

Mitochondria are often referred to as the "powerhouses" of the cell because their primary function is to produce adenosine triphosphate (ATP), the energy currency of the cell, through a process called cellular respiration. They convert nutrients, particularly glucose and fatty acids, into ATP by using oxygen in aerobic processes. Additionally, mitochondria play a role in regulating metabolic processes, calcium homeostasis, and programmed cell death (apoptosis).

A mono factorial region refers to an area or environment dominated by a single factor that influences its characteristics or processes. This could pertain to ecological contexts where one species or environmental condition predominates, affecting biodiversity and ecosystem dynamics. In other fields, such as economics or geography, it could describe areas reliant on a single industry or resource, shaping the local economy and social structure. The concept highlights the implications of such dominance on sustainability and resilience.

You cannot solve, without equating it to something. As given it is just an expression.

However it can be factored.

x^(2) + 7x +12

( x + 3)(x + 4) Factored but NOT solved.

However, it we equate to 'zero(0)' then it can be solved.

( x + 3)( x + 4) = 0

X + 3 = 0

x = -3

Similarly

x + 4 = 0

x = -4 Are the solutions (solved).

30b^(2) + 48b - 24

Factor out '6'

6(5b^(2) + 8b - 4)

Write down the factors of '5', 5 & 1. and '4' ; 4,1, + 2,2

Select a pair of factors that multiply together and then add to arrive at '8'

Hence (5 x 2) - ( 1 x 2) = 10 - 2 = 8

Open brackets

6(5b 2)(b 2)

Since the '4' is negative aamd the '8' is positive. Then the larger term is positive.

Hence 6(5b - 2)(b + 2)

Impossible to say, because you have NOT specified whether 5 cm' is the diameter or the radius.

Impossible to figure out. You did not mention any dimensions of the figure. You mush have the dimensions.

being 8 squares and 72 sq. ft. Then the 8 squares can be arrange as a 4 x 2 polygon.

Each of the 8 squares has an area of 72 / 8 = 9 sq.ft.

Hence any one side of the square is 9^(1/2) = 3 ft.

Hence length one one is 4 x 3 = 12 ft.

Length the other way is 2 x 3 = 6 ft

The two sides of the perimeter are 12 ft and 6 ft.

Hence it follows that the foursides of the perimeter are

12 + 12 + 6 + 6 = 36 ft.

NB You are incorrect when described the area as '72 ft', this is a LENGTH not an AREA. . It it 72 sq. ft. ( an AREA)

'dose'???? Are you giving medicine to someone?

The word is 'does'. Note the spelling

'Sum' means the 'total addition of all the terms'.

The same sized angles between a pair of parallel lines and its intersecting line.

NB

There is also Alternate Angles

Vertically opposite angles

and

Sum of angles between parallel lines.

Expressed as a proper fraction in its simplest form, 0.071 is equal to 71/1000 or seventy-one thousandths.

Some common strategies for solving the job scheduling problem efficiently include using algorithms such as greedy algorithms, dynamic programming, and heuristics. These methods help optimize the scheduling of tasks to minimize completion time and maximize resource utilization. Additionally, techniques like parallel processing and task prioritization can also improve efficiency in job scheduling.

3.87 x 10^(-5)

The two points are (2,16) & ( 5,4) in ( x,y) form .

Use the eq'n

m = [y(1) - y(2)] / [ x(1) - x(2)]

These numbers are labels , NOT factors/indices.

Substituting

m = [16 - 4] / [ 2 - 5]

m = [ 12] / [ -3]

m = -4 The slope.

Being negative, on a graph, the line will go down from left to right.

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.

When you have a statement such as ;-

'y' as directly proportional to 'x'

Then we can equate this by writing.

y = kx ( Where 'k' is the constant of proportionality.

Similarly 'y' as inverselyly proportional to 'x'

Then 'y' as directly proportional to '1/x'

Equating

y = k/x

Or 'y' as inversely square proportional to 'x'

Then y directly proportional to 1/x^(2)

Equating

y = k/x^(2)

To find the constant 'k'

Then you need to value that form this proportion.

e.g. x = 2 and y = 4.

Hence

y = kx

k = y/x

k = 4/2 = 2

Hence the quation becomes

y = 2x

NB THe most famous constant of proportionality if is 'pi' of circular fame.

It was found that the circumference is directly proportional to the diameter/

C directly proportional to 'd'

C = K d

K = C/d

K is pi = 3.141582.... ~ 3.14 or 3.1416.

NB for all proportional calculations 'K' is used for the constant of proportionality, except for circles , were 'pi' is used.

What is 'y5'.

To find the perpendicular slope use the eq'n.

mm' = -1

Where 'm' is one slope and ' m' ' is the perpendicular slope.

Hence as an example a slope of 'm =5'

5m' = -1

is

m' = -1/5 The perpendicular slope.

No. All segments have only one perpendicular bisector.

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Remember the two circle eq'ns.

A = pi r^(2)

C = 2 pi r

Since we have an area of 314 sq. ins ( NOT ins(2)).

Then

314 sq. ins = 3.14 * r^(2)

r^(2) = 314 sq. ins / 3.14

r^(2) = 100 sq.ins

r = sqrt(100 sq. ins)

r = 10 ins.

Hence

C = 2 * 3.14 * 10 ins.

C = 3.14 * 20 ins

C = 62.8 ins.

'pi' comes from the Classical Greek Alphabet. Its modern equivalent is the letter 'p'