M=7 n=8 n+9m Please help it’s due in 10 minutes-

The height of a parallelogram is three times its base. If the area is 972 square inches, what is the base and height?

Fed [463]

So h is 3x
b is x
3x plus x equal 972
4x = 972
243 is base
243 times 3 is 729

8 0

3 years ago

What is the completely factored form of x4 8x2 – 9?

Alinara [238K]

For this case we have the following polynomial:

$x ^ 4 + 8x ^ 2 - 9$

We make the following change of variables:

$u = x ^ 2$

Rewriting we have

$u ^ 2 + 8u - 9$

Factoring the second order polynomial we have:

$(u + 9) (u-1)$

Then, returning the change we have:

$(x ^ 2 + 9) (x ^ 2-1)$

Finally, we factor the expression in the parentheses of the second term:

$(x ^ 2 + 9) (x + 1) (x-1)$

Answer:

the completely factored form is:

$(x ^ 2 + 9) (x + 1) (x-1)$

7 0

3 years ago

Read 2 more answers

What is factorisation

liubo4ka [24]

Factorization is a method of writing numbers as the product of their factors or divisors.

Solution:

Factorisation:

Factorization is a method of writing numbers as the product of their factors or divisors.

In other words we can say, Finding what to multiply together to get an expression.

It is like "splitting" an expression into a multiplication of simpler expressions.

Methods of factorisation:

Factoring out the GCF

The sum-product pattern

The grouping method

The perfect square trinomial pattern

The difference of squares pattern

Factoring out the GCF:

This methods means that factoring out common factors

For example:

$12x^2 + 3x = 3x(4x + 1)$

This can be used when each term in given expression shares a common factor

The sum-product pattern

A quadratic equation may be expressed as a product of two binomials

For example:

$x^2 + 7x + 12 = (x + 3)(x + 4)$

This method can be used for quadratic equations of form $ax^2 + bx + c = 0$

The grouping method

If the polynomial is of the form $ax^2 + bx + c$ and there are factors of ac that add up to b , we can use this method

For example:

$2x^2 + 7x + 3\\\\2x^2 + 6x + 1x + 3\\\\2x(x + 3) + 1(x + 3)\\\\(x + 3)(2x + 1)$

The perfect square trinomial pattern

If the first and last terms are perfect squares and the middle term is twice the product of their square roots , we can use this method

For example:

$x^2 + 10x + 25\\\\(x + 5)^2$

The difference of squares pattern

If the expression represents a difference of squares, we can use this method

Because $a^2 - b^2 = (a + b)(a - b)$

For example:

$x^2 - 25\\\\x^2 - 5^2\\\\(x + 5)(x - 5)$

6 0

3 years ago

Suppose you have to use right-triangle trigonometry to find the apothem of a regular polygon. Which is greater, the apothem or t

asambeis [7]

The apothem represents one side of the right triangle to be solved. Specifically, it represents the height of the triangle.
The radius of the polygon represents the hypotenuse of the right triangle that is going to be solved.
Therefore, we can infer that the radius of the polygon is greater than the apothem because the hypotenuse is greater than all sides of a triangle.
Answer:
the radius of the polygon is greater

8 0

3 years ago

Is (6, -24) a solution to the equation: y = -7x + 18? ¿Es (6.-24)

KatRina [158]

i think that's the answer

6 0

3 years ago