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Taya2010 [7]
3 years ago
5

What is the range of the function below in set builder notation? y=|x-3|

Mathematics
1 answer:
Kisachek [45]3 years ago
4 0

Answer:  \{y | \ y \in \mathbb{R}, \ y \ge 0\}

This translates to "y is any real number such that it is 0 or larger".

The reasoning is that the result of any absolute value function is either 0 or positive. In other words, we'll never get a negative result of an absolute value function. This is due to how absolute value represents distance. Negative distance does not make sense.

So if y = |x-3| then y = 0 is the smallest output possible. We could have any positive output we want.

In terms of a graph (see below), the V shape is at the lowest point (3,0). The y coordinate is all we care about in terms of finding the range. So we see the lowest y value is y = 0.

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Can you help me find the volume base area latera area and total area please to this problem
krek1111 [17]

Answer:

BA = 25π,

LA = 25√2π,

TA = 25π + 25√2π,

V = 41 and 2 / 3π

Step-by-step explanation:

We need to determine the height here, as it is not given, and is quite important to us. The height is a perpendicular line segment to the radius, hence forming a 45 - 45 - 90 degree triangle as you can see. Therefore, by " Converse to Base Angles Theorem " the height should be equal in length to the radius,

( Height = 5 inches = Radius

______

Now knowing the height, let's begin by calculating the base area. By it's name, we have to find the area of the base. As it is a circle, let us apply the formula " πr^2 "

\pi r^2\\= \pi ( 5 )^2\\= 25\pi - Base Area = 25π

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The lateral area is simply the surface area excluding the base area, the surface area having a formula of " πr^2 + πrl. " Thus, the lateral area can be calculated through the formula " πrl, " but as we are not given the slant height ( l ) we have to use another formula, l= \sqrt{r^2+h^2} -

\pi r( \sqrt{r^2+h^2} )\\= \pi( 5 )( \sqrt{5^2 + 5^2} )\\= 25\sqrt{2} \pi- Lateral Area = 25√2π

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And the surface area is the base area + lateral area -

25\pi + 25\sqrt{2} \pi - Surface Area

______

The volume of a cone is 1 / 3rd that of a cylinder, with a simple formula of Base * height. Therefore, we can conclude the following -

1 / 3( 25\pi )( 5 )\\= 25 / 3( 5 )( \pi )\\= 41 \frac{2}{3}\pi- Volume = 41 and 2 / 3π

8 0
3 years ago
Given that the measure of ∠CBE is 135° find the measure of ∠BED. Assume that lines L and M are parallel.
KIM [24]

Answer:45

Step-by-step explanation:did you know if you plug your nose than every thing tasts the same

5 0
3 years ago
PLEASE HELPPPP!!!!!!!!!!
Elza [17]

Answer:

8x15x12=1440

Step-by-step explanation:

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3 years ago
What is a common multiple for 8,12,10
vagabundo [1.1K]
2 is a common multiple for 8,12,10

3 0
2 years ago
Read 2 more answers
Please Answerrr! I need help ASAPP!
MArishka [77]

80

Step-by-step explanation:

5×6 = 30 and 30×8 = 240 divide that by three you get 80

6 0
2 years ago
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