Dose anyone know the answers to the areas and volumes of similar solids quiz on conexxus

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

3 years ago

What is 5.138 + 2.624 = ? (show ur work)

Mrac [35]

Answer:

7.762

Step-by-step explanation:

Brainliest!

3 0

2 years ago

What is the power of x? <br> A) 2 <br> B) 3 <br> C) 6 <br> D) 7

Thepotemich [5.8K]

Answer:

A

Step-by-step explanation:

They are basically wanting the value of x.

These are 2 secant lines drawn. Secant Line is a line that intersects the circle at 2 points.

To solve this, we have to use secant-secant theorem.

Secant-Secant Power Theorem tells us that if 2 secant lines are drawn from external point (here, E) to a circle, then, product of measure of one secant's external part and total secant is equal to other secants external part and whole secant.

In algebra, that is:

$(x+1)(x+1+11)=(x+4)(x+4+1)$

Let's multiply and find the value of x:

$(x+1)(x+1+11)=(x+4)(x+4+1)\\(x+1)(x+12)=(x+4)(x+5)\\x^2 + 13x + 12=x^2+9x+20\\13x+12=9x+20\\13x - 9x = 20 - 12\\4x = 8\\x = 2$

Hence, the correct answer choice is A

8 0

3 years ago

A garden measuring 9 meters by 4 meters is going to have a walkway constructed all around the perimeter, increasing the total ar

marysya [2.9K]

Answer:

3 metres

Step-by-step explanation:

Let the width of the pathway be x

Area: (9+2x)(4+2x)

36 + 8x + 18x + 4x²

4x² + 26x + 36

Increased area is 150:

4x² + 26x + 36 = 150

4x² + 26x - 114 = 0

2x² + 13x - 57 = 0

2x² + 19x - 6x - 57 = 0

x(2x + 19) - 3(2x + 19) = 0

(x - 3)(2x + 19) = 0

x = 3, x = -19/2

4 0

3 years ago

Read 2 more answers

Jerry’s loan had a principal of $22,000. He made quarterly payments of $640 for nine years until the loan was paid in full. How

Leto [7]

Answer: $1040

A = P + I

A = Total

P = Principal

I = Interest

First find the total amount

A = 640(4)(9)

A = 23040

Plug In the Numbers

23040 = 22000 + I

Substract 22000 on both sides

I = $1040

8 0

2 years ago

Dose anyone know the answers to the areas and volumes of similar solids quiz on conexxus​

Dose anyone know the answers to the areas and volumes of similar solids quiz on conexxus