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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 is the square root property?

The square root property is a method used to solve equations where a quantity is squared.

If:

x² = a

then taking the square root of both sides gives:

x = ±√a

The ± is important because both a positive and negative number can have the same square.

For example:

x² = 25

Taking the square root:

x = ±√25

So:

x = 5 or x = -5

The square root property is especially useful when solving quadratic equations that can be written in the form (x − a)² = b.

For students, understanding why the positive and negative solutions occur is more important than simply memorizing the formula.

What do the wavy lines in math mean?

One wavy line (~) represents similarity. Two wavy lines (≈) means "approximately." THree wavy lines (≋) would most likely mean approximately identical to.

What is .875 in fraction?

.875 should be written as 0.875

As a fraction

0.875 / 1.000

Cancel down the decimal point

0875/1000

Drop the prefix 'zero

875/1000

Cancel down by '25'

35/40

Cancel down by '5'

7/8 The answer!!!!!

Does sum of mean multiplication?

NO !!!

Sum means 'Addition'.

Product is the answer to a multiplication.

How do you find the volume of a cube when it is 1yd on its edge?

Being a cube, each edge is one yard long.

Volume = length X breadth X Depth.

Hence

Vol = 1 yd X 1 yd X 1 yd = 1 cu. yd. ( cubic Yard).

How many days are in 58 years?

I believe 58 years represents far more than just a number of days—it represents a lifetime of moments, choices, and experiences. When you calculate it, 58 years is about 21,185 days in a standard count, or slightly more when leap years are included. Every single day adds up to a unique journey, which is why time should never be measured only by numbers but by the memories and achievements created along the way.

What is bigger 536 cm or 53.6dm?

The answer is that none of them is bigger, they are same length. 1dm=10cm

What is 25 x 34?

850.

25 X

34

________

9

15

80

60

_______

850

How do you write 2 and 5 over 9 as an improper fraction?

2 5/9

Multiply '2'(Coefficient; Large Number), to '9'(Denominator). Then add '5')Fraction numerator) . Place the whole over '9' (Denominator).

Hence

{[2 x 9}+ 5} / 9

{18 + 5} / 9

23/9 The answer!!!!!

This method is good for converting any mixed fractions to improper fractions.

What prime numbers end in 5?

5, all other numbers ending in 5 are divisible by 5.

What is the circumference of a circle if its area is 81π?

C = 81 pi = 2pi r

Hence

2 pi r = 81pi

r = 81 pi / 2 pi

Cancel down

r = 40.5

A = pi r^(2)

A = pi ( 40.5)^(2)

A = 1640.25 pi units^(2)

Is the square root of 37 rational?

NO!!!! Because '37' is a prime number.

Square roots of prime numbers are irrational.

sqrt(37) = 6.08276253....

Is the square root of 63 rational?

NO!!! Because

sqrt(63) = sqrt(9) X sqrt(7)

sqrt(9) = 3

sqrt(7) is '2.645751311....' , which is irrational.

Remember square root of prime numbers are irrational , and

Rational multiplied to irrational results in an irrational answer.

'7' is a prime number.

Is the x axis the horizontial on a graph?

YES!!!

The 'x-axis' is by convention the horizontal axis.

It follows that the 'y-axis' is the vertical axis.

This is for a 2-dimensional graph.

In a 3-dimensional graph , drawn on paper ( 2 -dimension) , there is a 'z-axis' . This is shown as an angled line, going 'up' from left to right.

All three axes intersect at the origin.

The coordinates are ( x,y,z,) in that order. The origin is ( 0,0,0).

What is 2.35 x 10?

23.5. Move the decimal place by 1

How many mm in 37 cm?

Oh, dude, seriously? Okay, so there are 10 millimeters in a centimeter, so if you have 37 centimeters, you just multiply that by 10 to get 370 millimeters. It's like converting dollars to cents, but with metric units. Easy peasy.