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3 years ago

What is the y-intercept of the line whose equation is y = x - 3?

Mathematics

2 answers:

emmainna [20.7K]3 years ago

7 0

Answer:

-3

Hope this helps! Please mark as brainliest.

Anit [1.1K]3 years ago

3 0

-3 is the answer. Hope this helps!

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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

3 years ago

Eliott is 63 inches tall, which is 9 inches taller than his cousin,Jackson. Write and solve an addition equation to find Jackson

olasank [31]

To find Jackson's height, you subtract 9 from 63 which gives you 54. 63-9=54

8 0

4 years ago

What is <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B8%7D%20%20-%20%20%5Cfrac%7B1%7D%7B4%7D%20" id="TexFormula1" ti

marysya [2.9K]

Hello there, and thank you for posting your question here on brainly.

Something I noticed right away is that 4/8 can be simplified.

4/8 ===> 2/4

So now we have 2/4 - 1/4

Just subtract the numerators only.

2/4 - 1/4 = 1/4

1/4 cannot be simplified, so 1/4 is your final answer.

Hope this helped!! ☺♥

5 0

3 years ago

Simplify. Enter your answer, in simplest radical form, in the box.

puteri [66]

24.75 rounded might be 25

5 0

3 years ago

Read 2 more answers

In the Exercises below, find the scale factor. Then list all pairs of congruent angles and write the ratios of the corresponding

nadezda [96]

Answer:

8) scale factor: 3

angles Q & L, S & N, r & M

sides 10 x 3 = 30, 6 x 3 = 18, 13 x 3 = 39

9) scale factor: 0.4

angles B & F, C & G, D & H, A & E

sides 9 x 0.4 = 3.6, 7.5 x 0.4 = 3, 10 x 0.4 = 4, 12 x 0.4 = 4.8

4 0

3 years ago