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Assoli18 [71]
3 years ago
5

Pl help it for homwork

Mathematics
1 answer:
shtirl [24]3 years ago
4 0

Answer:

C) x=2 y=-5

y=7x-19

-2x+3(7x-19)=-19

19x=38

x=2

-2(2)+3y=-19

y=-5

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) The density of oil in a circular oil slick on the surface of the ocean at a distance of r meters from the center of the slick
Feliz [49]

Answer:

Therefore the mass of the of the oil is 409.59 kg.

Step-by-step explanation:

Let us consider a circular disk. The inner radius of the disk be r and the outer diameter of the disk be (r+Δr).

The area of the disk

=The area of the outer circle - The area of the inner circle

= \pi (r+\triangle r)^2- \pi r^2

=\pi [r^2+2r\triangle r+(\triangle r)^2-r^2]

=\pi [2r\triangle r+(\triangle r)^2]

Since (Δr)² is very small, So it is ignorable.

∴A=2\pi r\triangle r

The density \delta (r)= \frac{40}{1+r^2}

We know,

Mass= Area× density

        =(2r \pi \triangle r)(\frac{40}{1+r^2}})

Total mass M=\sum_{i=1}^n \frac{80r_i\pi }{1+r^2}\triangle r_i

Therefore

\sum_{i=1}^n \frac{80r_i\pi }{1+r^2}\triangle r_i=\int_0^5 \frac{80r\pi }{1+r^2}dr

                      =40\pi[ln(1+r^2)]_0^5

                      =40\pi [ln(1+5^2)-ln(1+0^2)]

                     =40\pi ln(26)

                     = 409.59 kg (approx)

Therefore the mass of the of the oil is 409.59 kg.

3 0
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Airida [17]
 <span>This is an isosceles triangle. If each side is 1, we can find the hypotenuse using the Pythagorean theorem. 

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3 0
3 years ago
What are the leading coefficient and degree of the polynomial?
MissTica

Answer:

  • leading coefficient: 2
  • degree: 7

Step-by-step explanation:

The degree of a term with one variable is the exponent of the variable. The degrees of the terms (in the same order) are ...

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The highest-degree term is 2x^7. Its coefficient is the "leading" coefficient, because it appears first when the polynomial terms are written in decreasing order of their degree:

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The leading coefficient is 2; the degree is 7.

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<em>Additional comment</em>

When a term has more than one variable, its degree is the sum of the exponents of the variables. The term xy, for example, is degree 2.

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