Answer:
Step-by-step explanation:
PART A: 2x^5 + 3x^2-3
It is a fifth degree polynomial because, the highest degree is 5 and it is in the standard form since, the polynomial is written in descending order i.e, from highest degree to the least
part B:
Closure property is applicable to the subtraction of polynomials.
for example 2x^4+2x^2-5 is a polynomial and 2x^3+2x+2 is also a polynomial.
if we subtract these two polynomials, the outcome
2x^4-2x^3+2x^2-2x-7 is also a polynomial
<h3>
Answer:</h3>
square units (approximately 2338.26859)
<h3>
Step-by-step explanation:</h3>
The formula for finding the area of a regular hexagon when you know its side length is
, where
is the area and
is the side length.
- Substitute in the side length.

- Simplify the exponent.

- Multiply.

- Divide.

is as simple as the solution can get without estimating, but you can estimate with a calculator to find that it is approximately 2338.26859.
Answer:
Circular paraboloid
Step-by-step explanation:
Given ,

Here, these are the respective
axes components.
- <em>Component along x axis
</em>
- <em>Component along y axis
</em>
- <em>Component along z axis
</em>
We see that , from the parameterised equation , 
This can also be written as :

This is similar to an equation of a parabola in 1 Dimension.
By fixing the value of z=0,
<u><em>We get
which is equation of a parabola curving towards the positive infinity of y-axis and in the x-y plane.</em></u>
By fixing the value of x=0,
<u><em>We get
which is equation of a parabola curving towards positive infinity of y-axis and in the y-z plane. </em></u>
Thus by fixing the values of x and z alternatively , we get a <u>CIRCULAR PARABOLOID. </u>
Ok, so I used the equation Y2 (4) - Y1 (-10) over X2 (2) -X1 (-5).
4 - -10 is 14 since if a minus sign is before a negative number, it becomes positive.
Same goes for 2 - -5. It is 7 since the minus sign is before the negative number. Final answer is 14/7 which can be simpflied to 2/1 since 14 divided by 7 =2. So the distance is 14\7, or 2\1.
Answer:
Step-by-step explanation:
<u>Work hours Monday till Friday:</u>
- 3.5 + 5 + 2.5 + 4 + 2 = 18 hours
<u>Payment for 5 days:</u>
- 15*$8 + (18 - 15)*$10 = $150
<u>Payment for Saturday:</u>
<u>Total payment:</u>