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Svetach [21]
4 years ago
12

Which choice does NOT match the shape with its correct number of sides?

Mathematics
1 answer:
Usimov [2.4K]4 years ago
7 0
The answer is heptagon because a heptagon is a shape with 7 sides, not 6. :)
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Write a polynomial function f of the least degree that has rational coefficients,
mina [271]

Answer:

f(x)=x^4+15x^2-16

Step-by-step explanation:

It is given that the leading coefficient of the polynomial is 1.

We need to find a polynomial function f of the least degree.

If c is a root of a polynomial then (x-c) is a factor of the polynomial.

The given zeros are -1, 1, -4i, 4i. So,

f(x)=(x-1)(x+1)(x+4i)(x-4i)

f(x)=(x^2-1^2)(x^2-(4i)^2)

f(x)=(x^2-1)(x^2+16)      [\because i^2=-1]

f(x)=x^2(x^2+16)-1(x^2+16)  

f(x)=x^4+16x^2-x^2-16  

f(x)=x^4+15x^2-16  

Therefore, the required polynomial is f(x)=x^4+15x^2-16 .

4 0
3 years ago
-14=6x-8(x+3)<br><br><br><br> use the distributive property And show the steps that you did
Mandarinka [93]

Answer:

x=-5

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

6 0
3 years ago
Read 2 more answers
An aquarium 2 m long, 1 m wide, and 1 m deep is full of water. Find the work (in J) needed to pump half of the water out of the
Nitella [24]

Answer:

W=2452.5 J

Step-by-step explanation:

The work is define as the integral of the force times distance. So we have:

W=\int^{a}_{b}Fxdx

Now, we can write the force in terms of density.

F=m*g=\rho Vg

V is the volume (V=2*1*1=2 m³)

So the work will be:

W=\int^{0.5}_{0} 2*1000*9.81*xdx=\int^{0.5}_{0} 2*1000*9.81*xdx=\int^{0.5}_{0}19620xdx=19620(\frac{x^{2}}{2})|^{0.5}_{0}

The limit of integration is between 0 and 0.5 because we want to pump half of the water out of the aquarium.

W=19620(\frac{x^{2}}{2})|^{0.5}_{0}=19620(\frac{0.5^{2}}{2})

W=2452.5 J

I hope it helps you!

8 0
3 years ago
In a class of 36 girls, 18 play volleyball, 13 play table tennis , 11 play neither sport. determine the number of girls who play
polet [3.4K]
Answer:

5 girls

Explanation:

18+13=31
36-31=5
7 0
4 years ago
If you need an assignment, essay or exam done comment your snap and ill add you!​
Anarel [89]
Do you know how to identify the slope of a topographic map ? % Slope= rise/run * 100
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3 years ago
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