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Novosadov [1.4K]
3 years ago
11

The degree of the polynomial 10x^(2)+2x^(m)y-4y is 3. What is the value of m?

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
8 0

If the polynomial degree is 3, then the largest power with the variable(s) is 3.

We have:

10x^2+2x^my-4y\\\Downarrow\\10x^2-2nd\ degree\\\\2x^my-(m+1)th\ degree\\\\-4y-1st\ degree

Therefore m +1 = 3 → m = 2

<h3>Answer: 2</h3>
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Show all work to multiply quantity 6 plus the square root of negative 64 end quantity times quantity 3 minus the square root of
Serga [27]

Answer: 50

Step-by-step explanation:

[6+√-64] × 3-√-16

(6+8i)(3-4i)

6(3-4i)+8i(3-4i)

18-24i+24i+32

18+32=50

<h3> the answer is 50</h3>
5 0
3 years ago
Pls pls pls help for points
stepladder [879]

Answer:

see below

Step-by-step explanation:

g(x) = (x+2)^2 -1

The function is in the form

g(x) = a(x-h)^2 +k

where (h,k) is the vertex of the parabola

Rewriting

g(x) = (x+2)^2 -1

      = (x--2)^2 + -1

      The vertex is (-2,-1)

We can find another point by letting x =0

g(0) = (0+2)^2 -1

      =2^2 -1

      =4-1 =3

The second point is (0,3)

7 0
3 years ago
Read 2 more answers
The radius of a circle is decreasing at a rate of 6.56.56, point, 5 meters per minute. At a certain instant, the radius is 12121
Ilia_Sergeevich [38]

Answer:

The rate of change of the area of the circle is  approximately -490.09 \ m^2/min.

Step-by-step explanation:

Given:

\frac{dr}{dt} = -6.5 \ m/min

radius r =12 \ m

We need to find the rate of change of the area of the circle at that instant.

Solution:

Now we know that;

Area of the circle is given by π times square of the radius.

framing in equation form we get;

A= \pi r^2

to find the rate of change of the area of the circle at that instant we need to take the derivative on both side.

\frac{dA}{dt}=\frac{d(\pi r^2)}{dt}\\\\\frac{dA}{dt}= 2\pi r \frac{dr}{dt}

Substituting the given values we get;

\frac{dA}{dt}= 2\times \pi \times 12 \times -6.5\\\\\frac{dA}{dt}\approx -490.09 \ m^2/min

Hence The rate of change of the area of the circle is  approximately -490.09 \ m^2/min.

6 0
3 years ago
Find the value of n
Hitman42 [59]
There are 6 sides so that means that the angles add to 180(6-2) = 180(4) = 720 degrees

So let's add up the angles and set that result equal to 720. Then solve for n

Note: I'm starting at the angle n and working counter-clockwise

(n)+(140)+(151)+(62)+(135)+(n+6) = 720
n+140+151+62+135+n+6 = 720
2n+494 = 720
2n+494-494 = 720<span>-494
</span>2n = 226
2n/2 = 226/2
n = 113

So the final answer is n = 113
3 0
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There are 90 boys and 60 girls in the sixth grade at a middle school. Of these students, 9 girls and 3 boys write left-handed. W
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