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3 years ago

Solve the inequality e-2 <0

Mathematics

1 answer:

Lena [83]3 years ago

8 0

Answer:

e < 2

Step-by-step explanation:

Given

e - 2 < 0 ( ad 2 to both sides )

e < 2

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Find an equation equivalent to r = 1 + 2 sin in rectangular coordinates.

Lubov Fominskaja [6]

Answer:

$x^2+y^2=(x^2+y^2-2y)^2$

Step-by-step explanation:

Here we are given that

r=1+2sin $\theta$

we know that the polar cordinates are represented as

x=rsin $\theta$

y=rcos $\theta$

Also squaring both and adding them gives you ,

$x^2+y^2=r^2sin^{2}\theta + r^2cos^{2}\theta\\x^2+y^2=r^2(sin^{2}\theta + cos^{2}\theta)\\x^2+y^2= r^2 \\As (sin^{2}\theta + cos^{2}\theta) = 1\\\\Hence \\\\x^2+y^2=r^2$

Hence

$r=\sqrt{x^2+y^2}$

also r=1+2sin $\theta$

1+2sin $\theta$ = $r=\sqrt{x^2+y^2}$

Also ,

r = r=1+2sin $\theta$

also sin $\theta$ = $\frac{y}{\sqrt{x^2+y^2}}$

Hence replacing sin $\theta$ we get

$\sqrt{x^2+y^2} = 1+2\frac{y}{\sqrt{x^2+y^2}}\\x^2+y^2= \sqrt{x^2+y^2}+2y\\x^2+y^2-2y= \sqrt{x^2+y^2}\\Squaring\\(x^2+y^2-2y)^{2}=x^2+y^2$

8 0

3 years ago

Read 2 more answers

Suppose you deposit $12.50 into your savings account each week for 4 weeks and then withdraw $4.80 each week for the next two we

monitta

Answer:

The total change in the amount of money in my account is $ 9.60

Step-by-step explanation:

Given:

Amount of money deposited each week, $A_{d}=\$12.50$

Amount of money withdrawn each week, $A_{w}=\$4.80$

∴ Amount of money deposited in 4 weeks, $A_{dT}=A_{d}\times 4=12.50\times 4 = \$50$

∴ Amount of money withdrawn in 2 weeks, $A_{wT}=A_{w}\times 4=4.80\times 2 = \$9.6$

Now, amount of money left in the account is the difference of the two amounts.

So, amount left = $A_{dT}-A_{wT}=50-9.6=\$40.4$

Therefore, the total change in the amount of money in my account is given as:

Total change = Initial amount after 4 weeks - Final amount in the account.

Total change = $ 50 - $40.4 = $ 9.6

7 0

3 years ago

Fred spent half of his allowance going to the movies. He washed the family car and earned 9 dollars. What is his weekly allowanc

galben [10]

Answer:

Weekly allowance $4

Step-by-step explanation:

Fred ended with $11. So, subtract $9 from washing the car.

$11 - $9 = $2

$2 Is the amount of weekly allowance Fred <em>hasn't</em><em> </em>spent yet. However, at the beginning of the week, Fred used half his allowance. This means $2 was what was left. So,

$2 × 2 = $4

meaning Fred had $4 in allowance at the beginning of the week.

3 0

3 years ago

PLEASE HELP, ASAP. I WILL MARK YOU BRAINLIEST‼️

Alex787 [66]

Im sorry but i really cant see any of the words or number and ik this

4 0

3 years ago

What is the distance between (-5,6) and (4, 2)?

Sergeu [11.5K]

Answer:

9.85 units

Step-by-step explanation:

Let the distance between given points be d.

$\therefore \: d = \sqrt{ {( - 5 - 4)}^{2} + (6 - 2)^{2} } \\ \hspace{16 pt} = \sqrt{ {( - 9)}^{2} + (4)^{2} } \\ \hspace{16 pt} = \sqrt{ {81} + 16 } \\ \hspace{16 pt} = \sqrt{97 } \\ \hspace{16 pt}= 9.8488578 \\ \red{ \bold{ \therefore \: d =9.85 \: units }}\\$

4 0

3 years ago