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3 years ago

Convert the rectangular equation x^2 + y^2 = 2y to polar form

Mathematics

1 answer:

Lana71 [14]3 years ago

3 0

Answer:

c) r= 2sin θ

Step-by-step explanation:

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

therefore, $r^2=x^2+y^2$

Also y= rsin θ

Given rectangular equation:

x²+y²+ 2y

r²= 2(rsin θ)

r²= 2rsin θ

dividing r from both sides

r= 2sin θ

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Simplify by combining like terms. Type the terms in alphabetical order. -59-2+29-8=

Gnom [1K]

Answer:

Step-by-step explanation:

-59 - 2 + 29 - 8 = -61 + 29 - 8

Here -59 & -2 have same sign, so add both

= -61 - 8 + 29

= - 69 + 29

-69 & 29 have different sign. so subtract and the answer will have the sign of the bigger number

= - 40

7 0

3 years ago

0. Juan has been saving for a new bike for two months. So far, he has saved

antiseptic1488 [7]

Given:

Juan has been saving for a new bike for two months. So far, he has saved $150 for the bike.

The money that he has saved so far is 30% of the cost of the bike.

We need to determine the total cost of the bike.

Total cost of the bike:

Let x denote the total cost of the bike.

The total cost of the bike is given by

$30\% \ of \ x=150$

The value of 30% can be written as $\frac{30}{100}$

Thus, we get;

$\frac{30}{100} \times x=150$

Multiplying both sides by $\frac{100}{30}$ , we have;

$x=150 \times \frac{100}{30}$

Simplifying, we have;

$x=\frac{15000}{30}$

$x=500$

Thus, the value of x is 500.

Hence, the total cost of the bike is $500.

3 0

3 years ago

Simplify the expression 3+4·10 – 8

VARVARA [1.3K]

Answer:

Step-by-step explanation:

one word: PEMDAS. technically they are all a bunch of words but whatever...

P: parentheses

e: exponents

m: multiply

d: divide

a: add

s: subtract

first we multiply 4*10 since that's first on the list

4*10=40

we have

3+40-8

then we add

3+40

which is 43

then we subtract 8 from it as we have 43-8

which is in the end:

5 0

2 years ago

Read 2 more answers

he work shows how to use long division to find (x2 + 3x –9) ÷ (x – 2). What will be the remainder over the divisor?

exis [7]

remainder = 1

(x² + 3x - 9 )÷ (x - 2 ) = x + 5 + $\frac{1}{x-2}$

3 0

4 years ago

Read 2 more answers

2(x-3)+5=3(x-1) how to solve?

jasenka [17]

Answer:

2x-12+5=3x-3

1. subtract 3x-2x

-12+5=x-3

2.-12 add to 5

-7=x-3

3. add three to seven

-4=x

Step-by-step explanation:

6 0

4 years ago