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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 shape has no angles and only one side?

Well, honey, the shape you're looking for is a circle. It's got no angles and just one continuous side, like a sassy little diva twirling on the dance floor. So next time you're thinking about shapes, remember that circles are the OG smooth operators with no corners to cramp their style.

What is the answer to the riddle what is the title of this picture?

The answer to the riddle "What is the title of this picture?" is typically "The title." This is a play on words where the question is asking for the title of the picture itself, but the answer is simply stating the word "title." It is a common riddle that relies on the ambiguity of the question to create a humorous or clever response.

What number is both a square number and a cube number?

The numbers 0 and 1 are self-squares and self-cubes, all exponentials being 0 and 1 respectively. Only a few other numbers are both squares and cubes of integers.

For any given square and cube, the numerical relation is n3 = [n(sqrt n)]2

so for the value n where (sqrt n) is whole number, the cube of n is also a square.

After 0 and 1, the next 4 are 64, 729, 4096, and 15625.

64 = 43 = 82 . (4x2)2

729 = 93 = 272 . (9x3)2

4096 = 163= 642 . (16x4)2

15625 = 253 = 1252 . (25x5)2

You can find the others easily. There are each the sixth power of any integer,

such that x6 = (x2)3 = (x3)2 e.g. 26 = 64, 36 = 729, 46 = 4096, etc. - Besides 64, another easy one is the number one million, 106, which is 1003 and 10002.

We can say that these numbers are the cube of a square, or the square of a cube, for any given integer.

What is the two consecutive integers between which the square root of 75 lies?

Well, isn't that a happy little math problem! The square root of 75 is between 8 and 9. So the two consecutive integers between which the square root of 75 lies are 8 and 9. Just like painting, math can be a beautiful and soothing experience when you take it one step at a time.

Factor x cubed plus 5x squared plus 6x?

To factor the expression x^3 + 5x^2 + 6x, we first look for common factors among the terms, which is x. Factoring out x gives us x(x^2 + 5x + 6). Next, we factor the quadratic expression x^2 + 5x + 6 by finding two numbers that multiply to 6 and add up to 5, which are 2 and 3. Therefore, the factored form of x^3 + 5x^2 + 6x is x(x + 2)(x + 3).

When h has the value of 12 calculate 5h minus 2?

Well, honey, if h is strutting its stuff at 12, then you just gotta plug that into the equation like a boss. So, 5 times 12 is 60, and then you subtract 2 like it's nobody's business, giving you a grand total of 58. So, there you have it, darlin', 5h minus 2 is 58 when h is feeling fabulous at 12.

What is the diagonal of an area 24 x 24?

Diagonal = 24*sqrt(2) = 34 units, approx.

Diagonal = 24*sqrt(2) = 34 units, approx.

Diagonal = 24*sqrt(2) = 34 units, approx.

Diagonal = 24*sqrt(2) = 34 units, approx.

What is the perimeter of a circle if the diameter is 12 cm?

Oh, dude, you're mixing up your shapes there! Circles don't have perimeters because they're all curvy and stuff. But if you want to know the circumference of a circle with a 12 cm diameter, you just use the formula Circumference = π x Diameter, so it would be 12π cm. But, like, who really cares about circles anyway, right?

What is the corner called where two lines meet?

The corner where two lines meet is called a vertex. In geometry, a vertex is a point where two or more lines, line segments, or rays meet to form an angle. It is also known as the point of intersection. The term "vertex" is commonly used in the context of polygons, angles, and three-dimensional shapes.

What numbers are multiples of 4 and factors of 24?

The numbers that are both multiples of 4 and factors of 24 are 4, 8, and 24. This is because a multiple of 4 is any number that can be divided by 4 without leaving a remainder, and a factor of 24 is a number that divides evenly into 24. Therefore, the numbers 4, 8, and 24 meet both criteria as they are multiples of 4 and factors of 24.

What could be the length of the third side of a triangle that has two sides of lengths 7 and 12?

To create a triangle, the sum of the two shorter sides must be greater than the third side.

If 12 is the longer side then the missing side must be greater than 12 - 7 = 5

If the missing side is the longer side then the missing side must be less than 12 + 7 = 19

Thus any length that is greater than 5 and less than 19.

What would the side of a square with a area of 50 cm?

... go on?

"What would be the side length of a square with an area of 50 cm2?"

side A x side B = area

for a square side A = side B so

(side A)2 = area

or sqrt(area) = side A

What about 8y?

In mathematics, the expression "8y" represents the product of 8 and y, where y is a variable that can take on any value. This expression is a monomial, which is a single term in algebra. The coefficient of y in this expression is 8, indicating that y is being multiplied by 8.

What is a Variable expression for 5 divided by r?

A variable expression for 5 divided by r would be 5/r. In algebra, when a number is divided by a variable, it is represented as the number (in this case, 5) divided by the variable (r). This expression shows the quotient of 5 and r, where r can be any real number except 0 to avoid division by zero error.

Does a kite have a reflex angle?

Yes it is possible, but is rarely used. These kites with a reflex angle are often called arrowheads, because they look like arrows.
Yes, but it usually isn't though of. It would be on the outside of each vertice.

Does a negative number raised to an odd power simplifies to a negative number?

Yes, a negative number raised to an odd power will simplify to a negative number. This is because when you multiply two negative numbers together, the result is always a positive number. However, when you raise a negative number to an odd power, the negative sign remains, resulting in a negative number. This is a fundamental property of exponents and is consistent across all mathematical operations involving negative numbers.

What letter of the alphabet has a perpendicular line?

Many letters of the English alphabet have perpendicular lines. Perpendicular lines are like two lines making one corner of a square. So any letter that has two lines joined like the corner of a square has perpendicular lines.

These letters have right angles: E, F, f, H, I, L T, t, and sometimes X, x.

Keep in mind that the angles of the lines making the letters is effected by the font and whether or not the letter is italicized. For example, E is made of three perpendicular lines, but this 'E' has no perpendicular lines.

One Fourth of a right angle?

A right angle measures 90 degrees, so one fourth of a right angle would be 90 degrees divided by 4, which equals 22.5 degrees. This is known as a "quadrant" in geometry, as it represents one of the four equal parts of a right angle. In trigonometry, this angle would fall in the first quadrant, where both the x and y coordinates are positive.

What measures 1 fourth of an angle?

There are at least two ways to find 1/4 of an angle. One is to measure the angle with a protractor and divide by 4. The other is to use Euclid's straight-edge-and-compass construction for the bisector of the angle. This gives half the angle. Then use the same construction again on the half angle to get one fourth of the original angle.

What is the gradient-intercept method?

I think you are asking about what I would call the slope-intercept method of graphing a straight line. (If not, please resubmit the question with more background)

If you have y = 2x - 3, then the slope is 2 and the y-intercept is -3. Start by marking the y-intercept at -3 on the y-axis. Next, think of the slope as a fraction: 2 = 2/1 = rise/run.

Starting at (0,-3), go up 2 squares and 1 to the right, arriving at (1,-1). Repeat, and get to (2,1) and so on.

To go the other way think of 2 as -2/-1. Start at (0,-3) again and "rise" -2 (go down 2), and go -1 to the right (1 to the left). This will take you to (-1,-5); again, repeat as often as you wish to find more points, then draw a straight line through them all.

If the points aren't all in a line, check your work!