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3 years ago

A national park covers 218,375 acres. What is this number written in expanded form

Mathematics

2 answers:

Ymorist [56]3 years ago

8 0

200,000+10,000+8,000+300+70+5 is 218,375 in expanded form!!!

AlexFokin [52]3 years ago

7 0

200,00 + 10,000 + 8,000 + 300 + 70 + 5

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Please do answer: <br><br>Simplify the expression---5x-2y + 3x + 2y<br><br>(100 points)

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5x-2y+3x+2y

Combine like terms

5x+3x-2y+2y
(5+3)x+(-2+2)y
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2 years ago

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3 years ago

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the width of a rectangle is 4 less than half the length. if l represents the length, wich equation could be used to find the wid

torisob [31]

$w=\dfrac{1}{2}l-4$

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3 years ago

A parabola has a focus of F(2, -0.5) and a directrix of y=-1.5 P(x,y) represents any point on the parabola, while D(x, -1.5) rep

prohojiy [21]

The sketch of the parabola is attached below

We have the focus $(a,b) = (2, -0.5)$
The point $P(x,y)$
The directrix, c at $y=-1.5$

The steps to find the equation of the parabola are as follows

Step 1
Find the distance between the focus and the point P using Pythagoras. We have two coordinates; $(2, -0.5)$ and $(x,y)$ .
We need the vertical and horizontal distances to find the hypotenuse (the diagram is shown in the second diagram).
The distance between the focus and point P is given by
$\sqrt{ (x-a)^{2}+ (y-b)^{2} }$

Step 2
Find the distance between the point P to the directrix $c$ . It is a vertical distance between y and c, expressed as $y-c$

Step 3
The equation of parabola is then given as
$\sqrt{ (x-a)^{2}+ (y-b)^{2} }$ = $y-c$
$(x-a)^{2}+ (y-b)^{2}= (y-c)^{2}$ ⇒ substituting a, b and c
$(x-2)^{2}+ (y--0.5)^{2} = (y--1.5)^{2}$
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$y= \frac{ x^{2} }{2} -2x+1$

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3 years ago

Paul owes Paula 35 cents and has a pocket full of 5-cent coins, 10-cent coins, and 25-cent coins that he can use to pay her. Wha

kykrilka [37]

So, what is the case in which he uses the least coins? can he use 1 coin? no, there isn't a 35 cent coin. can he use 2 coins? yes! he can use 25+10 cent coins!

now, the largest number of coins means the coins of the smallest value: so using only 5 cent coins. How many would this be?

we have to divide:

35/5=7

so we would use 7 coins.

And the difference is 5: 7-2 is 5.

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3 years ago