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Algebra

The use of letters to substitute unknown numbers to form an equation. Solve the equation to get the unknown number using different methods such as simultaneous equations and more.

227,579 Questions

What dose sum mean in math?

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

The word is 'does'. Note the spelling

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

What does corresponding angles mean in math 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.

What is 0.071 as a fraction?

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

What are some common strategies for solving the job scheduling problem efficiently?

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.

What is the slope of the line that passes through the points 2 16 and 5 4?

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.

What does the variable k stand for in the equation ykx?

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 the slope of the line perpendicular to y5?

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.

What is the reaction time traveling at 40 miles per hour?

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What is the circumference of a circle with an area of 314 in2?

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.

Where does the name pi come from?

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

What is x3 plus x2 plus x plus 1?

The expression ( x^3 + x^2 + x + 1 ) can be factored using polynomial identities. It can be rewritten as ( (x^2 + 1)(x + 1) ). Alternatively, it can also be expressed as ( \frac{x^4 - 1}{x - 1} ) for ( x \neq 1 ). This shows that the polynomial has roots at the complex fourth roots of unity, excluding 1.

How do you solve X plus 1.4 equals 2?

x + 1.4 = 2

Re-write as

x + 1.4 = 2.0

Subtract 1.4 from both sides

x = 2.0 - 1.4

x = 0.6 The answer!!!!!

Are the sides equal on a octagon?

Octagon is a 2 dimensional figure of 8(eight) sides.

A REGULAR Octagon has sides of equal length

An IRREGULAR Octagon has sides of different lengths.

On giving the word 'octagon', it is generally assumed to mean a REGULAR octagon.

What is the cubic feet of 16 X 80 X 14?

Impossible to say!!! You have NOT given the units of the numbers, be they , inches, feet, yards, miles, metres, kilometres. etc.,

Please specify the units in future.

Assuming you mean 'feet'.

Then

16 ft x 80 ft x 14 ft = 17920 cu.ft.

NB ' The answer units are 'cu.ft' , NEITHER 'feet cubed' , NOR 'ft^(3)'.

What is a quadratic solution?

A quadratic solution refers to the solution of a quadratic equation, which is typically in the form (ax^2 + bx + c = 0), where (a), (b), and (c) are constants and (a \neq 0). The solutions can be found using the quadratic formula: (x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}). These solutions can be real or complex, depending on the discriminant ((b^2 - 4ac)). Quadratic equations are fundamental in algebra and have various applications in mathematics and science.

How many hours in a km?

Hours are units of time. Kilometers are units of distance. The two are not related, and can not be converted without knowing something else, such as speed.

What year was 1 trillion seconds ago?

Oh, dude, let me grab my calculator real quick. So, a trillion seconds ago... that's like, a lot of seconds, you know? It's around 31,688 years ago. So, yeah, just a casual 31,688 years ago, no big deal.

How many seconds in one trillion years?

Oh, dude, like, one trillion years is a looong time. So, in one trillion years, there are 31,536,000,000,000,000 seconds. Yeah, that's a lot of seconds. So, if you ever need to know how many seconds are in a trillion years for some reason, now you know!

Factor sin cubed plus cos cubed?

Think x^(3) + y^(3)

It factors to

(x + y)(x^(2) - xy + y^(2))

Hence substituting 'x' for Sine anf ;y; for Cos

(Sin + Cos )( Sin^(2) - Sin*Cos + Cos^(2)).

Why we use sin cos etc in sinusoidal wave?

'Sin & 'Cos' are just shorthand forms of 'Sine' and' Cosine'.

'Sine; is from Latin and means 'curve'.

'Cosine' means **co**mplementary Sine/Curve.

Find the equation of the straight line that passes through the points (3,0),(0,4) and (3,-3),(1,5)?

To find the equations of the straight lines through the given points, we can use the slope-intercept form (y = mx + b).

  1. For points (3,0) and (0,4): The slope (m = \frac{4 - 0}{0 - 3} = -\frac{4}{3}). Using point (0,4), the equation is (y = -\frac{4}{3}x + 4).

  2. For points (3,-3) and (1,5): The slope (m = \frac{5 - (-3)}{1 - 3} = -4). Using point (3,-3), the equation is (y = -4x + 9).

Thus, the equations are (y = -\frac{4}{3}x + 4) and (y = -4x + 9).

What is an angle called if it has a measure greater than 180 but no larger than 360?

REFLEX.

0 - 90 ACUTE

90 Right angle

90 - 180 OBTUSE

180 Straight line

180 - 360 REFLEX,

So if you draw two intersecting lines and asked to measure the angle. You are probably measuring the small angle between the two lines, which will be Acute or Obtuse.

However, the 'Outside' angle is a REFLEX angle.

NB The sum of the reflex angle and the smaller inner (acute/obtuse) ALWAYS equals 360 degrees.

What is the diameter of a circle whose circumference is 47.1cm?

Remember the circle eq'ns.

C = 2 pi r

or

C = pi d

(A = pi r^(2) )

pi is the circular constant of value 3.141592....

Reduced to pi ~ 3.14 ( For learning purposes).

Hence

C = 3.14 d

Algebraically rearrange the eq;n.

d = C/3.14

Substitute in C = 47.1 cm

d = 47.1 cm / 3,14

d = 15 cm