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3 years ago

Compare the fraction 1/3 <,>,= 1/2 ??

Mathematics

1 answer:

MA_775_DIABLO [31]3 years ago

6 0

Answer:

1/3<1/2

Step-by-step explanation:

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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

Ill mark brainliest!!

Anastasy [175]

Answer:

$60

Step-by-step explanation:

So from the question, we need to find the fixed amount for the tv's. So we have to make an equation, and don't forget to add the extended warranties:

11(x + 25) = 935

x will represent a tv, and the 25 is the extended warranty for a tv, since the questions states 11 tv's with warranties is 935, the equation will look like that. Now lets slove:

11(x + 25) = 935

multiply

11x + 275 = 935

subtract 275 from both sides

11x = 660

divide both sides by 11

x = 60, each tv is $60

4 0

3 years ago

Which expression represents the phrase?"4 more than the product of 8 and n."A) 8n – 4B) 8n + 4C) 4(8 + n)D) (8 + n) – 4

Dafna11 [192]

Answer:

B) 8n+4

Step-by-step explanation:

The product of 8 and n means 8n. Four more means +4. These together equal B) 8n+4

6 0

3 years ago

Read 2 more answers

T-5 >3(-2+t) please help me

Vladimir79 [104]

Answer:

t < 1/2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form: t < 1/2

Interval Notation: ( -infinity, 1/2)

3 0

3 years ago

Help help help help help help please

joja [24]

${a}^{m} \div {a}^{n} = {a}^{m - n}$

<h3>Explanation :</h3>

${a}^{m} \div {a}^{n} = {a}^{m - n}$

${a}^{m} \times {a}^{n} = {a}^{m + n}$

$( {a}^{m}){}^{n} = {a}^{m \times n}$

3 0

3 years ago

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