If both diagonals of a quadrilateral bisect each other when is the quadrilateral a parallelogram?

1 answer:

6 0

It is more than just a quadrilateral. In fact it is going to be hard to pick.

These facts suit a square, a rectangle, a rhombus, and a parallelogram. And the above statement is true, but maybe a little harder to prove than the converse of the statement, which is the usual one you find.

The converse is "If you have a parallelagram, the diagonals bisect each other."

You might think a trapezoid deserves some mention. The diagonals of a trapezoid do not bisect each other.

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If 18 is 45% of value, what is that value

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Percent is parts out of 100 so
45%=45/100=9/20
'of' means multiply
18 =9/20 times something
multiply both sides by 20/9 to clear fraction
360/9=something
40=something

the value is 40

8 0

3 years ago

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What are the solutions to the equation?<br> 7x^3=28x

11Alexandr11 [23.1K]

7x³ = 28x is our equation. We want its solutions.

When you have x and different powers, set the whole thing equal to zero.

7x³ = 28x

7x³ - 28x = 0

Now notice there's a common x in both terms. Let's factor it out.

x (7x² - 28) = 0

As 7 is a factor of 7 and 28, it too can be factored out.

x (7) (x² - 4) = 0

We can further factor x² - 4. We want a pair of numbers that multiply to 4 and whose sum is zero. The pairs are 1 and 4, 2 and 2. If we add 2 and -2 we get zero.

x (7) (x - 2) (x + 2) = 0

Now we use the Zero Product Property - if some product multiplies to zero, so do its pieces.

x = 0 -----> so x = 0

7 = 0 -----> no solution

x - 2 = 0 ----> so x = 2 after adding 2 to both sides

x + 2 = 0 ---> so = x - 2 after subtracting 2 to both sides

Thus the solutions are x = 0, x = 2, x = -2.

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3 years ago

If f(x) and g(x) are polynomial functions, what is the domain of f(x) + g(x) ?

IRINA_888 [86]

Answer:

all real numbers or $(-\infty, \infty)$

Step-by-step explanation:

since both f(x) and g(x) are polynomials, neither of them have restrictions on their domains. Since they can be defined for all real numbers. It's not like the square root which has a domain of (0, infinity), or log x which is defined only from (0, infinity). So adding these two polynomials would result in a domain of all real numbers.

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2 years ago

Find the perimeter of a square watermelon farm whose side is 14 miles.

Harlamova29_29 [7]

Perimeter is adding all the sides.
since it is square it is 14 +14 +14 +14 = 56 miles

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3 years ago

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Which of the following is a polynomial?

Makovka662 [10]

Answer:

Step-by-step explanation:

Terms are separated by addition and subtraction symbols.

Polynomials consist of terms that are constant and/or variable. The variable terms must have 0 or positive exponents. Polynomials will not consist of division of variable expressions.

Examples of polynomials:

$5$