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photoshop1234 [79]
3 years ago
8

How do you graph y=(x+2)^2+5 and find the vertex, the equation for the axis of symmetry and two other points on the graph with t

heir coordinates
Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
8 0
You Just Put It Like That In The Calculator And Look At The Line But Like In The Middle In The Top And That's Going To Be The Answer..
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Find the volume of the solid generated when R​ (shaded region) is revolved about the given line. x=6−3sec y​, x=6​, y= π 3​, and
Dmitrij [34]

Answer:

V=9\pi\sqrt{3}

Step-by-step explanation:

In order to solve this problem we must start by graphing the given function and finding the differential area we will use to set our integral up. (See attached picture).

The formula we will use for this problem is the following:

V=\int\limits^b_a {\pi r^{2}} \, dy

where:

r=6-(6-3 sec(y))

r=3 sec(y)

a=0

b=\frac{\pi}{3}

so the volume becomes:

V=\int\limits^\frac{\pi}{3}_0 {\pi (3 sec(y))^{2}} \, dy

This can be simplified to:

V=\int\limits^\frac{\pi}{3}_0 {9\pi sec^{2}(y)} \, dy

and the integral can be rewritten like this:

V=9\pi\int\limits^\frac{\pi}{3}_0 {sec^{2}(y)} \, dy

which is a standard integral so we solve it to:

V=9\pi[tan y]\limits^\frac{\pi}{3}_0

so we get:

V=9\pi[tan \frac{\pi}{3} - tan 0]

which yields:

V=9\pi\sqrt{3}]

6 0
4 years ago
Determine the slope of the poitns (0,6) & (4,0)
Ugo [173]
Slope = (0 - 6)/(4 - 0) = -6/4 = -3/2
8 0
3 years ago
Read 2 more answers
Roshanna Lincoln's landscaping company ships its packages through Fleet Quick Delivery. Fleet charges ​$4 plus ​$0.60 per pound
MArishka [77]

Answer:

The package weighs 21.6 pounds

Step-by-step explanation:

$4 dollars + T(0.60 tax per pound) divided by 15.40( the full cost of the shipment)

15.40 divided by 0.60 = 25.6

25.6 - 4 = 21.6

-------------------------------

Answer: 21.6 Pounds

-------------------------------

I hope I helped :)

Would appreciate Brainliest ;)

7 0
3 years ago
90 is 25% of what number
AysviL [449]
360 is the answer because 90 times 4 is equal to 360
5 0
3 years ago
The owner of an office building is expanding the length and width of a parking lot by the same amount. The lot currently measure
nasty-shy [4]

Present area = 120 * 80 = 9600 ft^2 so the new area will be 9600 + 4400 = 14000

So if increase in length = x we have

(x + 120)(x + 80) = 14,000

x^2 + 200x + 9600 - 14000 = 0

x^2 + 200x - 4400 = 0

x = 20 feet answer

4 0
3 years ago
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