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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
How do you convert 2 miles 327 yards to feet?
2 miles + 327 yards = 2*5280 + 327*3 = 10560 + 981 = 11541 feet
What direction does a y axis face?
Y Axis - Forward and Backward
X Axis - Left and Right
Z Axis - Physical UP and Down
Slope of 4x plus 2y equals 12?
4x + 2y = 12
Rearrange into straight line equation ( y = mx + c)
Where 'm' is the slope/gradient.
Hence
2y = -4x + 12
y = -2x + 6
Hence '-2' is the gradient /slope.
What do you understand by a variable?
A number that can vary.
Human height can vary between say 4 feet and 7 feet .
What is the answer -x-2 equals 1-2x?
-x -2 = 1 - 2x
Add 'x' to both sides ( preserve equality ; balance)
-2 = 1 - x
Add '2' to both sides
0 = 3 -x
Add 'x' to both sides
x = 3 The Answer !!!!!
NB When said as 'adding/subtracting etc., to both sides', this is to preserve equality (=), so the eq'n remains 'balanced', just like a weigh scales.
e.g. with numbers.
5 = 3 + 2 , however, 5 - 2 = 3 ( same difference!!!!!).
3×9= 27
1×27
Please there is your answer.
God bless you!
The ancient civilisations, 4000 years ago, Sumerians, calculated 'pi' to be 3.141592.....
The story goes ; A donkey on a tether ( radius) was driven around in a circle (Circumference) to drive water up from a well.
They noticed that however, long the tether (radius) was , the correspodning circle(circumference) was always in the same ratio. ; pi = 3.141592.....
This can be mathematically expressed as
Circumference is directly proportional to the diameter.
or
'C' is directly proportional to 'd '
This can be equated with a constant
C = k d
Algebraically rearranged as
k = C/d
Whatever the dimensions of a given circle were/are 'k', the constant, was always found to be 3.141592....
Much later after the Sumerians, the Classical Greeks, gave the name 'pi' to this constant. 'pi' being the lower case classical Greek letter 'p' and refers to **P**roportion.
Hence 'pi' , today is used as this constant of proportion for circles.
'pi' is an irrational number, which means in casual terms, the decimal digits go to infinity and there is no regular order in the decimal digits.
On 'Supa-Dupa' computers' pi' has been calculated to some 50 billion places and still going.
NB Remember the circle equations.
C = pi d
C = 2 pi r ( d = 2r)
A(area) = pi r^(2)
When learning circle calculations you are probably given pi as 3.14, or .3.1416. or 22/7, but these are only approximate values, and NOT exact values.
Hope that helps!!!!!
What is the rule to calculate the circumference of a circle?
Circumference equals the diameter multiplied to 'pi'.
Algebraically it is written as
C = pi d
NB 'pi' is an irrational number , of the value 3.141592.... Approximated to 3.14 or 3.1416
What is 4x-1 equals 9 is it an expression?
NO!!!
Because it is an equation, because it contains an 'equals(=)'.
A mathematical expression does NOT contain an 'wquals'.
Where did you fine a hypotenuse?
hypotenuse lit. 'stretching under'. It refers to how the hypotenuse "stretches under" the right angle. ( From Classical Greek).
It is the line opposite the right angle in a triangle.
The equator passes through what 3 oceans?
The Earth's equator passes through all of the oceans except the Arctic Ocean. -James Lustig
A circle does NOT have CUBIC FEET. A circle has an AREA and a CIRCUMFERENCE.
A Sphere has CUBIC FEET. A sphere has a VOLUME, SURFACE AREA, and a CIRCUMFERENCE.
The eq'n for the volume of a sphere is
V(Sphere) = (4/3) pi r^(3)
Out of the figures quoted in your question, which is the radius(r)?
How do you solve a linear equality with two unknowns?
Isolate one of the variable using inverse operations. Then solve.
Example: 2x + 4y = 0 --subtract 4y>> 2x = -4y --divide by -4>> -1/2x = y --plug in your variable -->>
What is the circumference of a circle with a 25ft diameter?
Use the equation
C = pi*d
Substitute
C = 3.14 * 25
C = 78.5 ft
NB This is only an approximate value, because '3.14' is only an approximate valuer for 'pi' , but convenient to use.
The other eq'n to use is
C = 2 pi r
Where 2r = d ( two radii equals one diameter ) . NB . 'radii' is the common noun plural of 'radius'. NOT 'radiuses'.
What is the ratio of the circumference of a circle to its diameter?
C = pi*d
The ratio is ALWAYS 'pi' for any circle, however, large or small.
pi is approximately 3.141592 , or 3.14, or 22/7
'pi' is an irrational number, which means the decimal digits go to infinity, AND the digits are NOT in any regular order.
There are infinitely many possible answers:1 * 20
0.1 * 200
0.001 * 2000 and so on.
or 2*10
0.2 * 100
0.02 * 1000
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3 and 9 is '39'
3 + 9 = 12.
NB Casually, 'and' would generally imply addition.
What is bigger five sevenths or four sixth?
5/7 & 4/6 => 5/7 & 2/3
To compare fractions, bring to a common denominator and equivalent numerators.
Hence
5(3)/7(3) & 2(7)/3(7)
Hence
15/21 & 14/21
Compare the numerators . 15 > 14
Hence
15/21 > 14/21 => 5/6 > 2/3 => 5/7> 4/6
NB When inspecting fractions, look to see if a fraction can be reduced. 4/6 = 2/3 .
Smaller numbers are easier to handle. !!!!!
15 + 5x
'5' is a factor of both '15' & '5' . So take '5' out!!!
Hence
5(3 + x)
