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3 years ago

Simplify the polynomial. 3y3 − y2 + 2y4 + 2y3

Mathematics

1 answer:

maria [59]3 years ago

4 0

Answer:

2y^4 + 5y^3 - y^2

Step-by-step explanation:

3y^3 - y^2 + 2y^4 + 2y^3

2y^4 + 3y^3 +2y^3 - y^2 combine like terms

2y^4 + 5y^3 - y^2 <---- answer

Hope this helps!

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A sand volleyball court has an area of 162 square meters and a perimeter of 54 meters. What are the dimensions of the volleyball

tresset_1 [31]

I honestly dont know how to figure this one out.

3 0

3 years ago

How many real and complex roots exists for a polynomial?

solmaris [256]

Step-by-step explanation:

whenever a complex number is a root of a polynomial with real coefficients, its complex conjugate is also a root of that polynomial. as an example, we'll find the roots of the polynomial..

x^5 - x^4 + x^3 - x^2 - 12x + 12.

the fifth-degree polynomial does indeed have five roots; three real, and two complex.

7 0

3 years ago

Solve the proportion 40/z+1 = 15/6

vovangra [49]

Answer:

Step-by-step explanation:

$\frac{40}{z + 1} = \frac{15}{6} \\$

<u>Cross multiply </u>

That's

$15(z + 1) = 40(6) \\ 15z + 15 = 240$

<u>Send 15 to the right side of the equation</u>

$15z = 240 - 15 \\ 15z = 225$

Divide both sides by 15

$\frac{15z}{15} = \frac{225}{15} \\$

We have the final answer as

Hope this helps you

7 0

2 years ago

a scalene right triangle has a hypotenuse with a length of 50 cm. The length of one leg is twice the length of the other. What a

zheka24 [161]

Let
x------------> <span>The length of one leg
</span>y------------> <span>The length of second leg
</span>
we know that
H=50 cm
x=2y
<span>applying the Pythagorean theorem

H</span>²=x²+y²--------> 50²=(2y)²+y²---------> 2500=4y²+y²-----> y²=2500/5
y=√500--------> y=22.4 cm
<span>so
</span>x=2y--------> x=2*22.4--------> x=44.8 cm
<span>
the answer is
</span><span>the lengths of the legs of the triangle are
</span>44.8 cm
and
22.4 cm

4 0

3 years ago

A bird was sitting 16 feet from the base of an oak tree and flew 20 feet to reach the top of the tree. How tall is the tree?

Eddi Din [679]

Given:

A bird was sitting 16 feet from the base of an oak tree and flew 20 feet to reach the top of the tree.

To find:

The length of the tree.

Solution:

A bird was sitting 16 feet from the base of an oak tree.

Vertical distance between bird and base = 16 feet

Then the bird flew 20 feet to reach the top of the tree.

Now, the vertical distance between bird and base = (16+20) feet

So, length of the oak tree is it the sum of 16 feet and 20 feet.

$\text{Length of the oak tree}=16+20$ feet

$\text{Length of the oak tree}=36$ feet

Therefore, the length of the oak tree is 36 feet.

5 0

2 years ago