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topjm [15]
3 years ago
5

A rectangular garden has a length that is 3 feet longer than its width. Let w represent the width of the garden in feet. The ent

ire garden is surrounded by a 2-foot-wide cement walkway.
Mathematics
1 answer:
Margarita [4]3 years ago
8 0

Answer:

Step-by-step explanation:

From the question, we're told that the length of the garden is 3 feet longer than its width. Mathematically, we would have

l = w + 3, where

l = length of the garden

w = width of the garden

Again we're told that this same garden has a walkway of about 2 foot wide. Mathematically we would have that as

W(w) = 2, where

W(w) = width of the garden.

That's all the parameters given in the question

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A computer manufacturer shipped a total of 50 machines to its two warehouses, one in west and one in east. It cost 20$ per machi
Natalka [10]
E + w = 50.....w = 50 - e
25e + 20w = 1090

25e + 20(50 - e) = 1090
25e + 1000 - 20e = 1090
25e - 20e = 1090 - 1000
5e = 90
e = 90/5
e = 18 <=== the east got 18

w = 50 - e
w = 50 - 18
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3 years ago
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Find an equation for the parabola with focus at (-5,-4) and vertex at (-5,-3)
sattari [20]

Answer:

(x+5)^{2}=-4(y+3)

Step-by-step explanation:

Given:

Focus point = (-5, -4)

Vertex point = (-5, -3)

We need to find the equation for the parabola.

Solution:

Since the x-coordinates of the vertex and focus are the same,

so this is a regular vertical parabola, where the x part is squared. Since the vertex is above the focus, this is a right-side down parabola and p is negative.

The vertex of this parabola is at (h, k) and the focus is at (h, k + p). So, directrix is y = k - p.

Substitute y = -4 and k = -3.

-4 = -3+p

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So the standard form of the parabola is written as.

(x-h)^{2}=4p(y-k)

Substitute vertex (h, k) = (-5, -3) and p = -1 in the above standard form of the parabola.

So the standard form of the parabola is written as.

(x-(-5))^{2}=4(-1)(y-(-3))

(x+5)^{2}=-4(y+3)

Therefore, equation for the parabola with focus at (-5,-4) and vertex at (-5,-3)

(x+5)^{2}=-4(y+3)

7 0
3 years ago
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steposvetlana [31]

Answer:

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Step-by-step explanation:

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x²/ x ≤ 0 / x

x ≤ 0

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Step-by-step explanation:

use the pythagorean theorem for the diagnal sides

3^2+3^2=c^2

9+9=c^2

18=c^2

\sqrt{18}

this gives you 4.24

now add 6+6+4.24+4.24 to get 20.48

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Answer:

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Step-by-step explanation:

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