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murzikaleks [220]
3 years ago
11

Please help! Geometry

Mathematics
1 answer:
Vaselesa [24]3 years ago
7 0
Hi :)
the answer is 16
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Suppose x is a real number and epsilon > 0. Prove that (x - epsilon, x epsilon) is a neighborhood of each of its members; in
kaheart [24]

Answer:

See proof below

Step-by-step explanation:

We will use properties of inequalities during the proof.

Let y\in (x-\epsilon,x+\epsilon). then we have that x-\epsilon. Hence, it makes sense to define the positive number delta as \delta=\min\{x+\epsilon-y,y-(x-\epsilon)\} (the inequality guarantees that these numbers are positive).

Intuitively, delta is the shortest distance from y to the endpoints of the interval. Now, we claim that (y-\delta,y+\delta)\subseteq  (x-\epsilon,x+\epsilon), and if we prove this, we are done. To prove it, let z\in (y-\delta,y+\delta), then y-\delta. First, \delta \leq y-(x-\epsilon) then -\delta \geq -y+x-\epsilon hence z>y-\delta \geq x-\epsilon

On the other hand, \delta \leq x+\epsilon-y then z hence z. Combining the inequalities, we have that  x-\epsilon, therefore (y-\delta,y+\delta)\subseteq  (x-\epsilon,x+\epsilon) as required.  

3 0
4 years ago
I'm Begging for somebody to do this worksheet. I can mark you brainiest and you will earn 15 points just please anybody? AND SAY
ser-zykov [4K]
(2) 2x
Bc you’re adding the imaginary one infront of the x.

(1) X squared + 25
Distribution

(3) 15x-30
Distribution

(1) x to the 6 power
You add the powers when they are being multiplied

(2) 2x squared + 7x + 12
Foil method

(2) 9x + 20
Adding Like terms

(4) 12x + 25
Adding and multiplying like terms

(2) 19x + 7
Multiplying then adding like terms.


I hope this helps ;)

Mark me brainliest please! ;D
5 0
3 years ago
A car is traveling at a rate of 100 kilometers per hour. What is the car's rate in miles per hour? How many miles will the car t
masya89 [10]

Answer:

62mph

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
35 is what percentage of 60
Aliun [14]
To find this out, divide 35 by 60:

35/60 = .583333333333

So 35 is 58.3% of 60.

Hope this helps!
7 0
3 years ago
Julio caught 3 fish weighing a total of 23 1/2 pounds. One fish weighed 9 5/8 pounds and another weighed 6 1/4 pounds. How much
Airida [17]
So we need to know what 23 1/2 + 9 5/8 + 6 1/4 is.
first, we need to make them into equivalent fraction. 
so...
23 1/2 can be 23 4/8
9 5/8 and
6 1/4 can be 6 2/8
let's add the whole numbers.
23 + 9 + 6 = 38
4/8 + 5/8 + 2/8 = 11/8 = 1 3/8
so 38 + 1 3/8 is 39 3/8
the answer is 39 3/8 pounds

4 0
3 years ago
Read 2 more answers
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