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Vanyuwa [196]
2 years ago
14

Line segment AB is drawn in the coordinate plane. Carlos graphed the set of points that are the same distance from both point A

and point B. What did Carlos graph?
Mathematics
1 answer:
Illusion [34]2 years ago
6 0

Answer:

Carlos graphed the perpendicular bisector of AB.

Step-by-step explanation:

Given a line segment AB drawn in a coordinate plane. The set of points that are the same distance from points A and B divides the line segment AB into two equal parts.

This line is referred to as the perpendicular bisector of AB.

Therefore, Carlos graphed the perpendicular bisector of AB.

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elise is changing the dimensions of her garden. the length is 20 feet longer than its width. if she decreases this length by 8 f
vitfil [10]
Let x be the initial width, then the initial length is x+20.
<span>If Elise decreases this length by 8 feet, she will get the new length  x+20-8=x+12.
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 If Elise increases the width by 10 feet, <span>she will get the new width x+10.
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4 0
3 years ago
Let A(t) represent the amount of money in a bank account at time t years. The rate at which the account is increasing is proport
nikdorinn [45]

Answer:

(C)A(t)=500e^{0.05t}

Step-by-step explanation:

If A(t) represent the amount of money in a bank account at time t years.

The rate at which the account is increasing is proportional to the amount of money in the account, which is modeled by the differential equation:

\dfrac{dA}{dt}=kA

First, we solve this differential equation

\dfrac{dA}{A}=kdt\\$Taking Integrals\\ln A =kt+C, C a constant of integration\\Taking exponents of both sides\\A(t)=Ce^{kt}\\When t=0, A(t)=\$500\\500=C\\Therefore:\\A(t)=500e^{kt}

At the moment when the amount of money in the account is $1000, the amount is increasing at a rate of $50 per year.

When A(t)=$1000, \dfrac{dA}{dt}=50

Therefore:

50=1000k\\k=50/1000=0.05

Substituting into our result from A(t) above:

A(t)=500e^{0.05t}

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