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algol13
3 years ago
9

Based on its degree, what kind of polynomial is this h(x)= -6x^3+2x-5

Mathematics
1 answer:
Lelechka [254]3 years ago
7 0

Answer:

cubic polynomial

Step-by-step explanation:

Given polynomial is \[h(x)=-6x^{3}+2x-5\]

A polynomial of degree 1 is a linear polynomial.

A polynomial of degree 2 is a quadratic polynomial.

A polynomial of degree 3 is a cubic polynomial.

In this case the exponent with the maximum value in the polynomial is 3.

Hence the degree of the polynomial h(x) is 3.

Hence the given polynomial is a cubic polynomial.

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Help? im confused plss!<br> Find the area of the regular polygon with the given radius or apothem
Snezhnost [94]

Answer:

  50 cm²

Step-by-step explanation:

Given that the regular polygon is a square, there are multiple ways you can jump directly to the answer. Perhaps the simplest is to use the formula for the area of a rhombus:

  A = 1/2(d1)(d2)

where d1 and d2 are the lengths of the diagonals. Here, we see that half the diagonal is 5 cm, so the area is ...

  A = (1/2)(10 cm)(10 cm) = 50 cm² . . . . area of the polygon

__

<em>Alternate solution</em>

If you want to use the radius and the number of sides in a formula, you can consider the area of each triangle formed by radii and a side. That triangle has area ...

  A = 1/2r²sin(α)

where r is the radius and α is the central angle. For an n-sided polygon, the area is the sum of n of these triangles, and the central angle is 360°/n. Then the polygon area is ...

  A = n/2·r²·sin(360°/n)

For n = 4 and r = 5 cm, the area is ...

  A = (4/2)(5 cm)²(sin(360°/4)) = 2(5 cm)²(1) = 50 cm² . . . . area of square

_____

<em>Additional comment</em>

The formula is somewhat different if you start with the length of the apothem. One way to find the area is using the above formula and the relation between the radius and apothem:

  r = a·sec(180°/n)

Another formula uses the apothem directly:

  A = n·a²·tan(180°/n)

8 0
2 years ago
The data set shows the numbers of yogurt pretzels in various bags.
Marizza181 [45]

Answer:

C

Step-by-step explanation:

3 0
2 years ago
18x^2+24x=0 Please solve by factoring.
Harman [31]

Answer:

6x ( 3x +4)

X =0 and x = 4/3 or x = 1 1/3

Step-by-step explanation:

Take the common factors out,

Here x is common to both equation and also 6 is common to both equation

So,

6x ( 3x + 4) = 0

So it can be solved by

X = 0 and x = 4/3

4 0
3 years ago
A chemist is using 333 milliliters of a solution of acid and water. If 17.2% of the solution is acid, how many milliliters of ac
lozanna [386]
57 milliliters of acid
8 0
2 years ago
7v=2v-20 what is the answer
Ierofanga [76]
7v = 2v - 20

First, subtract 2v from both sides. / Your problem should look like: 7v - 2v = -20
Second, simplify 7v - 2v to 5v. / Your problem should look like: 5v = -20
Third, divide both sides by 5. / Your problem should look like: v = - \frac{20}{5}
Fourth, simplify \frac{20}{5} to 4. / Your problem should look like: v = -4

Answer: v = -4


7 0
3 years ago
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