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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

Are multiples of 4 all even?

Yes,

All multiples of an even number are themselves even.

4 is an even number, so its multiples are all even.

How do you write 630 with prime numbers and exponents?

First you separate it into prime factors (start looking for small factors, such as 2, 3, 5). Then, you combine the factors with exponents.

The area of a circle with a radius of 10 cm .?

A = pi r^(2)

pi = 3.14

r = 10

Substitute

A = 3.14 X 10^(2)

A = 3.14 X 100 cm^(2)_

A = 314.0 cm^(2)

What is the unit dm3 a measurement of?

'dm^(3)' is a measure of liquid volume.

'dm^(3( ' means decimetres cubed.

It is the same volume as litres.

1 dm^(3) = 1 litre.

It is used in chemistry labs. when completing volumetric analysis.

The sum of two numbers is 25 while their difference is 1 What are the two numbers?

Let the number be 'm' & 'n'

m + n = 25

m - n = 1

Add the two eq'ns.

2m = 26

m = 26/2 = 13

Hence n = 12

What is 4x plus 7?

its 4x +7.....since the 7 doesn't have an x like the 4 you can't add them together..:D

What is 2x cubed minus 10x squared minus 12x?

2x^(3) - 10x^(2) - 12x

'2' and 'x' are common factors , so take them out.

Hence

2x(x^(2) - 5x - 6)

Factor inside the brackets .

2x(x - 6)(x + 1)

Done !!!!

How do you factor x cubed minus x squared minus 12x?

x^(3) - x^(2) - 12x

'x' is a common fractor ' tsker it out.

Hence

x(x^(2) - x - 12)

Factor inside the brackets /

x(x - 4(x + 3)

Done!!!!!

What is the inverse of 23?

The inverse of 23 depends on what type of inverse you mean:

  • Multiplicative inverse (reciprocal): \(\frac{1}{23}\)

  • Additive inverse: \(-23\)

Usually, when asked for the inverse of a number in mathematics, the answer is its reciprocal: \(\boxed{\frac{1}{23}}\).

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What is 3.14 times 4?

3.14(pi)*4=12.56

Why don't you calculate it your self?!

What is the sum of angles in a 50-sided polygon?

1sr find the EXTerior Angle. 4

EXT ANG = 360 / 50

EXT Ang = 36/5 = 7.2

Hence

Int Ang = 180 - 7.2 = 172.8.

Since there are 50 sides there are 50 interior angles. at 172.8 each

So sum of interior angles is 50 X 172.8 = 8640 degrees.

NB

Remember the table.

Sum of interior angles.

3 sides = 180

4 sides= 360

5 sides = 540

et seq/

For each additional side add 180 degrees.

How many sides are in a 50 sided polygon?

You have answered the question for yourself!!!! --- '50'.

-2x plus 3y equals -7 3x plus y equals 16?

-2x + 3y = -7

3x + y = 16

simultaneous equations.

Elimination a letter. Arbitrarily select 'y'

Hence multiply the bottom eq'n by ' -3'

Hence

-2x + 3y = -7

-9x - 3y = -48

Add the eq'ns/

-11x = =55

x = -55/-11 = 5

When x = 5 , substitute into either eq'n for 'y'

-2(5) + 3y = -7

-10 + 3y = -7

3y = 3

y = 1

Hence answer in ( x,y) fpr, is ( 5,1).

What is the answer to 3x plus y equals 5?

3x + y = 5

There is no answer for 'x' ^ 'y' as there are two unknowns, and no comparable values.

However. it is a linear equation, and can be rearranged into the straight line form .

y = -3x + 5

Hence

Gradient/slope is '-3' and the y0intercept is '5'.

If p equals 2s plus 5 what is s in terms of p?

p = 2s + 5

Subtract '5' from both sides

2s = p - 5

Divide both sides by '2'

s = [p - 5] / 2

What is p plus 2 equals 2-3p?

p + 2 = 2 - 3p

Subtract '2' from both sides

p = -30

Subtract 'p' from both sides

0 = -2p

Hence 2p = 0

It folllows p = o