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marin [14]
3 years ago
9

Find the difference of the polynomials given below and classify it in terms of degree and number of terms.

Mathematics
1 answer:
BARSIC [14]3 years ago
8 0

Answer:

4th degree polynomial with 4 terms

Step-by-step explanation:

Given:

3n²(n²+ 4n - 5) - (2n² - n⁴ + 3)

Open parenthesis

= 3n⁴ + 12n³ - 15n² - 2n² + n⁴ - 3

Collect like terms

= 3n⁴ + n⁴ + 12n³ - 15n² - 2n² - 3

= 4n⁴ + 12n³ - 17n² - 3

Number 1 term is 4n²

Number 2 term is 12n³

Number 3 term is -17n³

Number 4 term is -3

The highest degree of the polynomial is 4th degree

Therefore,

The difference in 3n²(n²+ 4n - 5) - (2n² - n⁴ + 3) is

4th degree polynomial with 4 terms

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What is x+y=10;y=x+10
Alenkasestr [34]

[ Answer ]

\boxed{\bold{X \ = \ 0, \ Y \ = \ 10}}

[ Explanation ]

  • System Of Equations \bold{\left \{ {X \ + \ Y \ = \ 10} \atop {Y \ + \ X \ = \ 10}} \right.}

-----------------------------------

  • [Substitute] Y = X + 10

\bold{\begin{bmatrix}x+x+10=10\end{bmatrix}}

  • Isolate x for x + x + 10 = 10: x = 0

For y = 10

Substitute x = 0

Y = 0 + 10

0 + 10 = 10

y = 10

  • Solutions

X = 0

Y = 10

\boxed{\bold{[] \ Eclipsed \ []}}

3 0
3 years ago
Solve a triangle when A=15° B=113° and b=7?
JulsSmile [24]

Let us draw a triangle ABC with A=15° ,B=113° and b=7.

Please see the attached image.

We know that the sum of interior angles of a triangle is 180 degrees. Thus, we have

A+B+C=180\\
\\
15+113+C= 180\\
\\
C=62^{\circ}

Apply Sine rule in the triangle ABC, we get

\frac{a}{\sin 15}= \frac{7}{\sin 113}\\
\\
a=\frac{7 \sin 15}{\sin 113}\\
\\
a=1.97\\
\\
\text{Again apply sine rule, we get}\\
\\
\frac{c}{\sin 62}= \frac{7}{\sin 113}\\
\\
c=\frac{7 \sin 62}{\sin 113}\\
\\
c=6.71

Therefore, we have

a=1.97\\
c=6.71\\
C=62^{\circ}


4 0
4 years ago
A right triangle is shown below.<br> Which measurement is the closest to the value of x?
REY [17]

Answer:

35°

Step-by-step explanation:

First you find the sine of x. That would be

sinx = opposite/hypotenuse

sinx = 57/100

sinx = 0.57

You can look it up if you want, but sin35 = 0.574

so the answer is 35°

6 0
3 years ago
What are all the polygons that have congruent diagonals
uranmaximum [27]

Answer:

rectangle, square, isosceles trapezoid

Step-by-step explanation:

4 0
3 years ago
Write a real world problem you could answer by solving the equation -8+60=28
aksik [14]

<em>"Mitchael owes $8 to his bank, so he decides to add $60 in April at a rate of $2 per day. How many days Mitchael needs in order to get $28 in his account?"</em>

<h2>Explanation:</h2><h2 />

Hello! Remember you have to write clear questions in order to get good and exact answers. The given equation doesn't make any sense so I'll assume the correct one is:

-8+60x=28

So let's write a real world problem you could answer by solving the equation:

<em>"Mitchael owes $8 to his bank, so he decides to add $60 in April at a rate of $2 per day. How many days Mitchael needs in order to get $28 in his account?"</em>

So by isolating x (number of months):

x=\frac{28+8}{60} \\ \\ x=0.6 \ month \\ \\ \\ Since \ we \ need \ the \ number \ of \ days: \\ \\ April \ has \ 30 \ days, \ so: \\ \\ x-day=0.6\times 30=18 \ days

So Mitchael would need 18 days in order to get $28 in his account

<h2>Learn more:</h2>

Method for solving system of linear equations: brainly.com/question/10185505

#LearnWithBrainly

6 0
3 years ago
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