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Georgia [21]
3 years ago
13

What is the equation for each line?​

Mathematics
1 answer:
galina1969 [7]3 years ago
8 0
Red: y= 2x
Black: y= 2x
Yellow: y= -3x
Green: zero slope
Blue: undefined slope
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Hiro is creating a smaller scaled replica of a triangular canvas.
brilliants [131]

Answer:

AB= AC times AE/AD

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional

so

In this problem

AB/AC=AE/AD

solve for AB

AB=(AC)(AE)/AD

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Can someone anyone please man help me out
zzz [600]

Answer:

2 sqrt(3) -2i

Step-by-step explanation:

If we have the magnitude and the theta

z = |z| cos theta + i |z| sin theta

  = 4 cos 330 + i  4 sin 330

  =4 (sqrt(3)/2) + 4i (-1/2)

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5 0
3 years ago
) 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
2 years ago
Rob Barros $15 from his father and then he borrows three dollars more drag numbers to write an equal using negative integers to
Vikentia [17]

Answer:

The amount of money in dollars that Rob owe his father is -$18

Step-by-step explanation:

From the given information:

Rob borrows $15 from his father and then he also borrows $3 more.

Thus, the amount he owes is father is now:

- $15  - $3 = - $18     Since we are using negative integers.

The amount of money in dollars that Rob owe his father is -$18

3 0
2 years ago
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