4. which algebraic expression is a polynomial with a degree of 2? 4x3 − 2x 10x2 − 8x3 3 6x2 − 6x 5
2 answers:
ANSWER
The algebraic expression that is a polynomial with a degree of 2 is
EXPLANATION
The degree of a term of a polynomial is the total sum of the exponents of the variables in each term.
The highest degree of the polynomial is considered the degree of the polynomial.
For first option,
the highest degree is 3.
The second option is,
This polynomial also has a degree of 3.
The third option is,
This last option has a degree of 2.
Therefore the correct answer is option C.
The algebraic expression that is a polynomial with a degree of 2 is
EXPLANATION
The degree of a term of a polynomial is the total sum of the exponents of the variables in each term.
The highest degree of the polynomial is considered the degree of the polynomial.
For first option,
the highest degree is 3.
The second option is,
This polynomial also has a degree of 3.
The third option is,
This last option has a degree of 2.
Therefore the correct answer is option C.
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Step-by-step explanation:
The shape of the new pizza must meet the conditions:
- Be an irregular polygon (different sides and/or angles).
- Have at least five sides.
- Have the approximately the same area as a 14" diameter circle.
- Fit in a 14⅛" × 14⅛" square.
- Be divisible into 8-12 equal pieces.
For simplicity, I will choose a polygon with 5 sides (a pentagon), and I will use 2 right angles (a "house" shape).
Split the pentagon into a rectangle on bottom and triangle on top. If we cut the rectangle into 8 pieces like a regular pizza, and the triangle in half, we get 10 triangles.
Now we just need to figure out the dimensions. The area of a 14" circular pizza is:
A = πr²
A = π (7 in)²
A ≈ 154 in²
That means the area of each triangle slice needs to be 15.4 in². If we make the total width of the pentagon 14", then the width of each triangle is 7", and the height of each triangle is:
A = ½ bh
15.4 in² = ½ (7 in) h
h = 4.4 in
Which makes the total height of the pentagon 3h = 13.2 in.
So, our 13.2" × 14" pentagon has at least 5 sides, is irregular, has the same area as a 14" diameter circle, fits in a 14⅛" × 14⅛" square, and can be divided into 8-12 equal pieces.
Of course, there are many possible solutions. This is just one way.
Slope Intercept Form - y = mx + b
First you need the slope or m which in the first equation is 6 and in the second is 5
Next the y-intercept or b which in the first equation is -4 and in the second is -3
Here is an image of both equation plotted on a graph where the first equation is purple and the second is green
Hope this helps, if you need anything else i will edit it in :)
edit: The to lines intercept at the point (1,2)
Sorry, i wasn't completely sure what you needed i haven't done this in a while. If you still need more, I'll try to help.
