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3 years ago

Solve the following inequality: 4y<36

Mathematics

1 answer:

kap26 [50]3 years ago

4 0

Answer:

${y< 9}$

Step-by-step explanation:

$4y < 36$

Can be simplified by dividing 4 on both sides

4y<36

÷4. ÷4

y<9

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Prove algebraically that r = 10/2+2sinTheta is a parabola

Xelga [282]

Answer:

$y = - \frac{ 1 }{10} {x}^{2} + \frac{5}{2}$

Step-by-step explanation:

We want to prove algebraically that:

$r = \frac{10}{2 + 2 \sin \theta}$

is a parabola.

We use the relations

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

and

$y = r \sin \theta$

Before we substitute, let us rewrite the equation to get:

$r(2 + 2 \sin \theta) = 10$

$r(1+ \sin \theta) = 5$

Expand :

$r+ r\sin \theta= 5$

We now substitute to get:

$\sqrt{ {x}^{2} + {y}^{2} } + y = 5$

This means that:

$\sqrt{ {x}^{2} + {y}^{2} }=5 - y$

Square:

${x}^{2} + {y}^{2} =(5 - y)^{2}$

Expand:

${x}^{2} + {y}^{2} =25 - 10y + {y}^{2}$

${x}^{2} =25 - 10y$

${x}^{2} - 25 = - 10y$

$y = - \frac{ {x}^{2} }{10} + \frac{5}{2}$

This is a parabola (0,2.5) and turns upside down.

4 0

3 years ago

A local environmental group was interested in estimating the total amount (in pounds) of recycled material that is collected wee

Vlad [161]

Answer:huh

Step-by-step explanation:

4 0

3 years ago

What is 52 divide by 69

vampirchik [111]

Answer:

Its 52/69... did u mean 69 divide by 52? If so the answer is 69/52.

Step-by-step explanation:

Hopefully u wrote the answer correctly, as always plz mark as brainliest. Hope this helps!

Oh wait!

The decimal form is: 0.753621 i think

5 0

3 years ago

Read 2 more answers

Please hurry

Olenka [21]

Answer:

B.8K-168/K-12

4 0

3 years ago

Camille had $275 in her checking account . she deposited $812 and wrote checks $75, $60, and $48. how much did she have in the a

Elenna [48]

She would have $904. 275 + 812= 1087. 75 + 60 + 48= 183. 1087 - 183 = 904. Check the math to make sure, I did it in my head.

3 0

3 years ago