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Akimi4 [234]
3 years ago
8

Which algebraic expression is a polynomial with a degree of 2?

Mathematics
2 answers:
Sauron [17]3 years ago
4 0
6x^2 - 6x + 5 <== this is ur polynomial with a degree of 2

the one u have marked is not a polynomial because it has a variable in the square root...a polynomial cannot have that


jeka943 years ago
4 0

Answer:

D) 6x² − 6x + 5 has degree 2.

Step-by-step explanation:

Given : Polynomial .

To find : Which algebraic expression is a polynomial with a degree of 2.

Solution: We have given polynomial

Degree : The highest power of the polynomial is called degree.

We can see from the given polynomials two polynomial have 2 power

first is  10x^{2} -\sqrt{x}.

Second is 6x² − 6x + 5.

But the first term have root so, it is not a polynomial.

So  6x² − 6x + 5 has degree 2

Therefore, D) 6x² − 6x + 5 has degree 2.

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The composite figure shown has a surface area of 844 square centimeters.
kolezko [41]

Given the surface area of the composite figure, the height of the rectangular prism is approximately 8 centimeters.

<h3>What is the height of the rectangular prism?</h3>

First we calculate the surface area of the rectangular pyramid;

S.A = lw + (1/2)w√(4h²+l²) + (1/2)l√(4h²+w²)

Given that;

  • w = 10cm
  • l = 18cm
  • h = 12cm

S.A = lw + (1/2)w√(4h²+l²) + (1/2)l√(4h²+w²)

S.A = (18cm×10cm) + (1/2)10cm√(4(12cm)²+18cm²) + (1/2)18cm√(4(12cm)²+(10cm)²)

S.A = (180cm²) + 5cm√(576cm² + 324cm²) + 9cm√(576² + 100cm²)

S.A = (180cm²) + 5cm(30cm) + 9cm(26cm)

S.A = 180cm² + 150cm² + 234cm²

S.A = 180cm² + 150cm² + 234cm²

S.A = 564cm²

Now, surface Area of the rectangular prism will be;

= Area of composite figure - surface area of the rectangular pyramid

= 1844cm² - 564cm²

= 1280cm²

Now surface area of rectangular prism is expressed as;

SA = 2lw + 2lh + 2hw

  • w = 10cm
  • l = 18cm
  • h = x

SA=2lw + 2lh + 2hw

SA - 2lw  =  h( 2l + 2w)

h = (SA - 2lw) / ( 2l + 2w)

h = (1280cm² - ( 2×18cm×10cm)) / ( 2×18cm + 2×10cm)

h = (1280cm² - 360cm²) / ( 36cm + 20cm)

h = 1020cm² / 56cm

h = 8cm

Given the surface area of the composite figure, the height of the rectangular prism is approximately 8 centimeters.

Learn more about Prism and Pyramid here: brainly.com/question/9796090

#SPJ1

8 0
1 year ago
John goes running every morning. He can run 3 miles in 1 hour. How many miles would he be able to run in 1 and ½ hours? A. 4.5 m
BARSIC [14]

Answer:

2

Step-by-step explanation:

well less than 3

7 0
3 years ago
Read 2 more answers
Phyllis invested 32000 dollars, a portion earing a simple interest rate of 5 percent per year and the rest earning a rate of 6 p
il63 [147K]

9514 1404 393

Answer:

  • $10,000 at 5%
  • $22,000 at 6%

Step-by-step explanation:

Let x represent the amount invested at 6%. Then 32000-x is the amount invested at 5%, and the total interest earned is ...

  0.06x +0.05(32000 -x) = 1820

  0.01x +1600 = 1820 . . . . simplify

  0.01x = 220 . . . . . . . . . .  subtract 1600

  x = 22,000 . . . . . . . . . . . multiply by 100

  32000 -x = 10,000

Phyllis invested $22,000 at 6% and $10,000 at 5%.

6 0
3 years ago
7 is what percent of 105
Olenka [21]
The answer to your question is 6.67.
6 0
3 years ago
Read 2 more answers
Sole for y<br> k = p/2(y+w)<br> y =
mojhsa [17]

Answer:

<u>Answer</u><u>:</u><u> </u><u>y</u><u> </u><u>=</u><u> </u><u>(</u><u>2</u><u>k</u><u> </u><u>-</u><u>pw</u><u>)</u><u>/</u><u>p</u>

Step-by-step explanation:

k =  \frac{p}{2} (y + w)

multiply 2 on both sides:

k \times 2 = 2 \times  \frac{p}{2} (y + w) \\  \\ 2k = p(y + w)

open the bracket:

2k = py + pw

subtract pw from both sides:

2k - pw = (py + pw) - pw \\ 2k - pw = py

divide p on both sides:

\frac{2k - pw}{p}  =  \frac{py}{p}  \\  \\ y =  \frac{2k - pw}{p}

4 0
2 years ago
Read 2 more answers
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