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Slav-nsk [51]
3 years ago
12

Factor completely

Mathematics
1 answer:
luda_lava [24]3 years ago
4 0

Answer:

B)

B)

D)

Step-by-step explanation:

1. 7x^3y+14x^2y^3-7x^2y^2

The GCF of all the term of the above polynomial is 7x^2y , hence we take it outside and form a bracket

7x^2y(x+2y^2-y)

The polynomial within the bracket can not be factorized further hence this is our final answer. Option (B) is the right answer

2. 5x(x+3)+6(x+3)

The GCF of all the term of the above polynomial is (x+3) , hence we take it outside and form a bracket

(x+3)(5x+6)

The polynomial within the bracket can not be factorized further hence this is our final answer. Option (B) is the right answer

3. 8x^5+2x^4+4x^2

The GCF of all the term of the above polynomial is 2x^2 , hence we take it outside and form a bracket

2x^2(4x^3+x^2+2)

The polynomial within the bracket can not be factorized further hence this is our final answer. Option (D) is the right answer

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Write the equation of the line in slope-intercept form.
Butoxors [25]

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Step-by-step explanation:

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3 0
3 years ago
A 10 -foot ladder is leaning against a building. The base of the ladder is 3 feet from the side of the building. How high does t
AleksAgata [21]

Answer:

The ladder is 5.20 feet tall on the side of the building

Step-by-step explanation:

Here, we simply want to calculate the height the ladder is from the base of the building

To get this, we need a pictorial representation of what we have here.

From what we have here, we have a right-angled triangle with a hypotenuse of 10 foot and a base of 3 feet

We apply Pythagoras’ theorem to get how far is the tip of the ladder from the base of building

Pythagoras’ stated that the square of the hypotenuse equals the sum of the squares of the two other sides

In this case, let the height be x

So;

x^2 + 3^2 = 6^2

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4 0
3 years ago
Consider parallelogram ABCD with vertices at A(−10,6), B(−5.5,26), C(9.5,18), and D(5,−2). What is the perimeter, in units, of p
monitta

Given vertices of parallelogram ABCD:

A(−10,6), B(−5.5,26), C(9.5,18), and D(5,−2).

<u>Length of AB is :</u>

=\sqrt{\left(-5.5-\left(-10\right)\right)^2+\left(26-6\right)^2}= 20.5.

<u>Length of BC is : </u>

=\sqrt{\left(9.5-\left(-5.5\right)\right)^2+\left(18-26\right)^2} =17.

Note, opposite sides of a parallelogram are equal.

Therefore,

<em>Perimeter of parallelogram ABCD = 2 × Length of AB + 2 × Length of BC.</em>

Perimeter = 2 × 20.5 + 2 × 17

                 = 41 + 34

                 = 75 units.

<h3>Therefore, the perimeter of parallelogram ABCD is 75 units.</h3>
3 0
3 years ago
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