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3 years ago

Is x+y is an algebraic expression?

Mathematics

1 answer:

Lapatulllka [165]3 years ago

7 0

Yes, x+y is an algebraic expression

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Find the distance between the two points on the coordinate plane.

Jobisdone [24]

Answer:

Step-by-step explanation:

Assuming that each square is one unit, you plug it into the distance formula.

4 0

3 years ago

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 rectangle has an area of 82 ft2. What is<br> the length if the width is 10 ft?

Luda [366]

Answer:

187

Step-by-step explanation:

7 0

3 years ago

Suzy has a collection of quarters and dimes. Together she has 44 coins worth $6.95. How many quarters and how many dimes does Su

OverLord2011 [107]

X = quarters
y = dimes

0.25x + 0.10y = 6.95 or 25x + 10y = 695
x + y = 44

25x + 10y = 695
25 (x + y = 44)

25x + 10y = 695

25x + 25y = 1,100

-15y = -405
y = 27 dimes
and 17 quarters

6 0

3 years ago

3x+8y=15 , 2x−8y=10

faltersainse [42]

I think is should be (5,0)

3 0

3 years ago

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