Ask question

Ask question

All categories

2 years ago

6

consider the point (x,y) lying on the graph of y=(x+3)^1/2. let L be the distance between the points (x,y) and (4,0). write l as

a function of y

1 answer:

olga_2 [115]2 years ago

6 0

$L=\sqrt{ (x-4)^2 + y^2 }$
and
$y=\sqrt{x+3} \Rightarrow x = y^2-3$

$L=\sqrt{ (x-4)^2 + y^2 }=\sqrt{ (y^2 - 3-4)^2 + y^2 }=\sqrt{ (y^2-7)^2 + y^2 }$

You might be interested in

Which is a solution for the equation 3x + 13 = 73?

sweet [91]

Answer:

x=20

Step-by-step explanation:

73-13=60

60÷3=20

7 0

2 years ago

Read 2 more answers

If you wanted a 40 foot tree in your yard, how much faster would a poplar, which grows 8 feet per year, reach that goal than a r

Verizon [17]

Answer:

Not totally sure if i'm reading the question right buuuut;

the answer is (I think) a poplar would reach 40 feet high in 5 years, while the red maple would reach the goal in 8.

Step-by-step explanation:

using division, 40/8 = 5 years

40/ 5 = 8 years.

like I said, not positive I read the question correctly but I hope this helps xx have a nice day :)

5 0

3 years ago

What is the equation of the line that represents the horizontal asymptote of the function f(x)=25,000(1+0.025)^(x)?

posledela

Answer:

The answer is below

Step-by-step explanation:

The horizontal asymptote of a function f(x) is gotten by finding the limit as x ⇒ ∞ or x ⇒ -∞. If the limit gives you a finite value, then your asymptote is at that point.

$\lim_{x \to \infty} f(x)=A\\\\or\\\\ \lim_{x \to -\infty} f(x)=A\\\\where\ A\ is\ a\ finite\ value.\\\\Given\ that \ f(x) =25000(1+0.025)^x\\\\ \lim_{x \to \infty} f(x)= \lim_{x \to \infty} [25000(1+0.025)^x]= \lim_{x \to \infty} [25000(1.025)^x]\\=25000 \lim_{x \to \infty} [(1.025)^x]=25000(\infty)=\infty\\\\ \lim_{x \to -\infty} f(x)= \lim_{x \to -\infty} [25000(1+0.025)^x]= \lim_{x \to -\infty} [25000(1.025)^x]\\=25000 \lim_{x \to -\infty} [(1.025)^x]=25000(0)=0\\\\$

$Since\ \lim_{x \to -\infty} f(x)=0\ is\ a\ finite\ value,hence:\\\\Hence\ the\ horizontal\ asymtotes\ is\ at\ y=0$

5 0

2 years ago

The cost to rent a car is $39.50 plus $0.25 per mile. If you only have $80, what is the greatest number of miles that you can dr

Aloiza [94]

Answer:

the most she can drive is 162 miles

Step-by-step explanation:

4 0

2 years ago

HELP I SUCK AT MATH!!!!AND IM FAILING STILL!!!!!

alukav5142 [94]

Answer:

y=x+1

Step-by-step explanation:

The slop and y-int are 1, just like on the graph

8 0

2 years ago

Read 2 more answers