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Brrunno [24]
1 year ago
10

Lim x-> 0 sqrt x+4 -2 / x

Mathematics
1 answer:
Wittaler [7]1 year ago
3 0

Greetings from Brasil...

Here we have an indeterminacy 0/0

We can change variable or rationalize.......

Let's rationalize

{[√(X + 4) - 2]/X} · {[√(X + 4) + 2]/[√(X + 4) + 2]} = 1/[√(X + 4) + 2]

So, the limit will be 1/4

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What is x*x-2x if x = -3
sveticcg [70]

Put the value of x = -3 to the expression x · x - 2x:

<h3>(-3)(-3) - 2(-3) = 9 + 6 = 15</h3>
5 0
3 years ago
I have a flower vase with a 6 " diameter and is 12 " tall I want to fill it 2/3 of the way full how many cubic inches will I fil
RSB [31]

Answer:

72\pi\ in^{3}

Step-by-step explanation:

step 1

<em>Calculate the volume of the cylinder (flower vase)</em>

The volume is equal to

V=\pi r^{2}h

we have

r=6/2=3\ in -----> the radius is half the diameter

h=12\ in

substitute the values

V=\pi (3)^{2}(12)=108\pi\ in^{3} ------> exact value

step 2

Calculate  2/3 of the volume

V=(2/3)108\pi=72\pi\ in^{3}

8 0
3 years ago
Find the value of x that makes m || n
ch4aika [34]

Answer:

x=133

Step-by-step explanation:

Given: m║n

This means that 147 and x+14 are <em>alternate exterior angles</em>. This also means that they are equivalent. We can use this information to set up an equation:

x+14=147

Subtract 14 from both sides to isolate x

x=133

8 0
2 years ago
How many sides does a polygon have whose total number of diagonals is 20?​
Bond [772]

Answer:

there would be <u>8</u><u> </u><u>sides</u> if there are 20 diagonals

6 0
2 years ago
The adult height of a male is about 1.19 times his height at age 12. The adult height of a female is about 1.07 times her height
marissa [1.9K]
If you are 12 years old, just measure your own height, then multiply your height by 1.19 if you’re a male, or 1.07 if you’re a female.
6 0
2 years ago
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