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3 years ago

What is the image point of (5,0)(5,0) after a translation right 5 units and down 3 units?

Mathematics

1 answer:

vodomira [7]3 years ago

8 0

Answer:

(10,-3)

Step-by-step explanation:

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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

2 years ago

The following are the ages (years) of 5 people in a room: 14, 16, 16, 13, 23 A person enters the room. The mean age of the 6 peo

myrzilka [38]

Answer:

44.

Step-by-step explanation:

Since the mean of 14, 16, 16, 13, 23, x is 21, then we have 14 + 16 + 16 + 13 + 23 + x is equal to 126. Summing we have 14 + 16 + 16 + 13 + 23 = 82. 82 + x is equal to 126. X = 44.

4 0

3 years ago

Vectors...<br><br> Let u = <-3, -5>, v = <-3, 1>. Find u + v.

Anni [7]

-3 + -3 = 0
-5 + 1 = -4
vector = < 0,-4 >

3 0

3 years ago

Find the value of x please help I give brainly<br> 20 points

fiasKO [112]

Answer:

x=148

Step-by-step explanation:

First, find the missing angle by subtracting 100+48 from 180 (all of the angles in a triangle add up to 180). Then, subtract that from 180 (the angles are a linear pair, so they are supplementry, so they add up to 180) x+32=180.

x=148.

(お役に立てれば！)

7 0

2 years ago

Perpendicular lines have _____ _____ slopes. (2 word answer)

DerKrebs [107]

Answer:

negative reciprocal

Step-by-step explanation:

4 0

3 years ago