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ad-work [718]
3 years ago
11

Jason builds doghouses for a pet store. Each doghouse is a wooden structure with a rectangular base that has an area of 21 squar

e feet and a length that is 4 feet more than its width.
If x represents the width of the doghouse, write an equation in the given form that can be used to determine the possible dimensions of the base of the doghouse.
Mathematics
2 answers:
liq [111]3 years ago
7 0

Answer: x^2+4x-21=0

Step-by-step explanation:

You need to remember that formula for calculate the area of a rectangle:

A=lw

Where "l" is the lenght and "w" is the width.

You know that "x" represents the width of the doghouse, its rectangular base has an area of 21 square feet (A=21) and its length is 4 feet more than its width (l=x+4)

Then, substituting into the formula, you get:

21=(x+4)(x)

Simplifying, you get the following  that can be used to determine the possible dimensions of the base of the doghouse:

21=x^2+4x

x^2+4x-21=0

ss7ja [257]3 years ago
3 0

Answer:

Square root of 21 + 4 = w

Step-by-step explanation:

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Mrrafil [7]
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2. Move your constant (the number without any x attached) to the other side of the equation
3. take 1/2 of the b term (the one with the x attached) and then square it and then add it to both sides
4. Factor the left side
5. Set each factor equal to 0 and solve

Here is an example:

4x^2-24x+20=0
The first term is not a 1 so we have to divide it out by 4 first
x^2-6x+5=0
Move the 5 to the other side.  It becomes negative.
x^2-6x=-5
Take 1/2 of 6 (3) then square it (9) and add it to both sides.
x^2-6x+9=-5+9
Factor the left side
(x-3)(x-3)=4
(x-3)^2=4
To solve you need to square root both sides
x-3=+/-
x-3=+/-2
x=3+2=5
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Those would be your two answers.

<span>Hope that helps</span>
4 0
2 years ago
If x = 9 units and h = 4 units, then what is the area of the triangle shown above?
Aleks04 [339]

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18

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7 0
2 years ago
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Talja [164]

Answer:

A statement asserting the equality of two expressions, usually written as a linear array of symbols that are separated into left and right sides and joined by an equal sign.

Step-by-step explanation:

A statement asserting the equality of two expressions, usually written as a linear array of symbols that are separated into left and right sides and joined by an equal sign.

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scoray [572]

Answer:

Third option

Step-by-step explanation:

The first definition is not as broad as it should be, therefore, while an angle does meet that criteria, it's not a general definition, hence, it is incorrect. The second one is incorrect as well because a parabola has a vertex, and it is certainly not an angle. This definition is not specific enough, so it will be eliminated. The last one is again, too specific. The third one is the best answer because it is broad enough while still being specific.

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3 years ago
-6 - 3(2x + 4) = 18what’s the answer
Brrunno [24]

Answer:

x=-6

Step-by-step explanation:

-6-3\left(2x+4\right)=18

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3 years ago
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