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Snezhnost [94]
2 years ago
4

A cross section of a parabolic glass mirror of the Hubble space telescope shown can be modeled by the graph of the function y=0.

0043x^2 where x and y are measured in meters. Find the domain and range of the function in this situation
Mathematics
1 answer:
Mice21 [21]2 years ago
5 0
Hello there!

Let's take a look at the function
y=0.0043x²

The domain is all real numbers because there are no variables in the denominator or under a radical!
domain: (-∞,∞)

Now for the range, let's find the inverse function.
Switch x and y...
x=0.0043y²
Now solve for y...
x/0.0043=y²
sqrt(0.0043/x)=y

Now because the denominator CANNOT multiply to 0, set the denominator equal to 0 to see what x CAN'T be. This means that x cannot be 0 so the range is all reals besides 0.
Range: (-∞,0)U(0,∞)

I really hope this helps!
Best wishes :)

NOTE: if you need an explanation as to WHY though find the inverse function's domain to get the Original function's range, feel free to message me!
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The sundae bar at Sarah's favorite restaurant has 5 toppings. In how many ways can Sarah top her sundae if she is restricted to
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Answer:

15 ways.

Step-by-step explanation:

There are 5 ways to have 1 topping.

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2 years ago
On a coordinate plane, a triangle has points (negative 5, 1), (2, 1), (2, negative 1).
daser333 [38]

Answer:

Step-by-step explanation:

Given a triangle has points:

(-5,1),(2,1), (2,-1)

Let us label the points:

A(2,1),

B(-5,1) and  

C(2,-1)

To find:

Distance between (−5, 1) and (2, −1) i.e. BC.

Horizontal leg AB and

Vertical leg, AC.

Solution:

Please refer to the attached diagram for the labeling of the points on xy coordinate plane.

We can simply use Distance formula here, to find the distance between two coordinates.

Distance formula :

D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

For BC:

x_2 = 2\\x_1 = -5\\y_2 = -1\\y_1 = 1

BC = \sqrt{(2--5)^2+(-1-1)^2} = \sqrt{63}

Horizontal leg, AC:

x_2 = -5\\x_1 = 2\\y_2 = 1\\y_1 = 1

AC = \sqrt{(2-(-5))^2+(1-1)^2} = 7

Vertical Leg,  AB:

x_2 = 2\\x_1 = 2\\y_2 = -1\\y_1 = 1

AB = \sqrt{(2-2)^2+(-1-1)^2} = 2

5 0
2 years ago
Read 2 more answers
Delia went to a market to buy 4.5 pounds of sliced fruit in a container she paid with a $20 bill and a $5 bill and received $4.6
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2 years ago
A clock is showing the time as exactly 3:00 p.m. and 25 s. Because a full minute has not passed since 3:00, the hour hand is poi
Grace [21]
I had to read this a couple of times to see this was not about time, but is a right triangle problem. If the hour hand is at three, let us consider that a leg of a right triangle, we will consider the hypotenuse as the second hand.
Sketch the picture. 

The hypotenuse is 9 cm. the angle is found by: 

the (hour hand) is pointing directly at the 12. I expect you mean the minute hand. The angle between the minute hand and the second hand is 25/60*360 = 150 which make the angle between the hour hand and the second hand. 150 -90 =60 

so the second hand and the hour hand gives us a right triangle, with a 60 degree angle and a hyp. of 9 cm. 

cos 60 = x/9 

9 cos 60 =x 
<span>
x = 4.5 cm

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
</span>
3 0
2 years ago
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