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love history [14]
2 years ago
9

Your friend manages a campground during summer vacation. She has mapped the campground on a coordinate grid. The campsites have

the following coordinates: Brighton Bluff at B(2,2), Ponaganset Peak at P(4,10) and Harmony Hill at H(12,2). They want to build a shower facility that is equidistant from all three campsites. Find the coordinates of the point where the shower should be placed.
How am I supposed to solve this?
Mathematics
1 answer:
Makovka662 [10]2 years ago
6 0
I think the coordinates are 1, 10 but not positive because if you graph it you can see a kite in it so make the point close to 4,10
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Complete the equation of the line through (2,-2)(2,−2)left parenthesis, 2, comma, minus, 2, right parenthesis and (4,1)(4,1)left
Daniel [21]

Answer:

y=\frac{3}{2}x-5

Step-by-step explanation:

There are a couple of ways to solve this, depending on what you already know.

Point-Slope Form

y-y_1=m(x-x_1)  where <em>m</em> is the slope and (x_1, y_1) is a point on the line.

First, calculate the slope using the two given points (x_1, y_1), (x_2, y_2).

m=\frac{y_2-y_1}{x_2-x_1}=\frac{1-(-2)}{4-2}=\frac{3}{2} .

Fill in the point-slope pattern

y-(-2)=\frac{3}{2}(x-2) \\ y+2=\frac{3}{2}x-3 \\ y=\frac{3}{2}x-5

There's the equation in slope-intercept form (y=mx+b).

Slope-Intercept Form

Use y=mx+b directly.

Find the slope just like the above, so m=\frac{3}{2}.

Now, plug one of the points (either one!) together with <em>m</em> into

y=mx+b\\-2=\frac{3}{2}(2)+b \\ -2=3+b \\ b=-5

Now you know the value of <em>b</em>, so the equation for the line is

y=\frac{3}{2}x-5

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2 years ago
Chadwick bought 50 shares of Chipotle stock on Nov 1, 2016 for $396.33 share. He sold the shares four years later, with the per
scoray [572]

Answer:

Step-by-step explanation:

Given the following :

Number of shares purchased (2016) = 50

Purchase price of shares $396.33 per share

Closing price per share four years later = $778.38

A) What did Chadwick pay for all of the shares in 2016?

Purchase price per share × number of shares.

$396.33 × 50 = $19,816.50

B) What was the closing value of all of the shares four years later?

Closing price per share × number of ahaf

=$778.38 × 50

= $38,919

C.) Profit on stock :

$(38,919 - 19,816.50)

= $19,102.5

D) What is his rate of return on his shares when he sold them?

(Current Purchase - initial value) /current price

(778.3 - 396.33) / 396.33

= (381.97 / 396.33) 100%

= 0.9637675

=

3 0
2 years ago
Leilah has not yet
Ivenika [448]

Answer:

40 * x - 600 = 0

Step-by-step explanation:

The first thing is to identify the variable (x) of the equation and they will be the number of days that Leilah will take to read her flashcards. Now if you need to study 600 out of 2400, it is because you have read 1800. Therefore we have to:

2400 - 1800 = 40 * x

rearranging

40 * x - 600 = 0

The above would be the equation of the situation

6 0
2 years ago
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The grades on a history midterm at Gardner Bullis are roughly symmetric with μ = 69 μ=69mu, equals, 69 and σ = 3.5 σ=3.5sigma, e
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Answer:

-1.14

Step-by-step explanation:

The given information in statement is

mean=μ=69

standard deviation=σ=3.5

Let X be the Ishaan's exam score

X=65

The Z score can be computed as

z=\frac{x-mean}{standard deviation}

z=\frac{65-69}{3.5}

z=-1.1429

z=-1.14 (rounded to two decimal places).

Thus, the computed z-score for Ishaan's exam grade is -1.14.

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Answer: (1.5, 0)

Step-by-step explanation:

Given : The shape of his satellite can be modeled by y^2=6x where x and y are modeled in inches.

Now,the given equation y^2=6x is a equation of parabola.

Here, coefficient of x is positive, hence the parabola opens rightwards.

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4m=6\\\Rightarrow\ m=\frac{6}{4}=1.5

In standard equation, coordinates of focus=(m,0)

Thus for given equation coordinates of focus=(1.5,0)

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