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Julli [10]
3 years ago
6

The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room.

Mathematics
1 answer:
neonofarm [45]3 years ago
6 0
The third one. width=y-5
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Write each quadratic expression in standard form. Draw a diagram if needed.<br> (x+4)(x-1)
12345 [234]

Answer:

The standard form of the quadratic equation is x² + 3·x - 4 = 0

Step-by-step explanation:

The standard form of a quadratic equation is a·x² + b·x + c = 0

Given that the expression of the quadratic equation is (x + 4)·(x - 1) = y, we can write the given expression in standard form by expanding, and equating the result to zero as follows;

(x + 4)·(x - 1) = x² - x + 4·x - 4 = x² + 3·x - 4 = 0

The standard form of the quadratic equation is x² + 3·x - 4 = 0

The graph of the equation created with MS Excel is attached

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What's the slope and y intercept of the graph
satela [25.4K]

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Step-by-step explanation:

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X−3y=1x+y=9
Brrunno [24]

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2 years ago
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Point M is the midpoint of segment AB.<br> AM=3x+40 and MB=x^2. Find x and AB
Nina [5.8K]

\text{Hello there! :)}

x = 8\\\\AB = 128 \text{ units}

-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-

\text{Since Point M is the midpoint of AB, then:}\\\\AM = MB\\\\

\text{Set the two equations equal to each other:}\\\\3x + 40 = x^{2} \\\\

\text{Move all terms over to one side to simplify more easily:}\\\\0 = x^{2} - 3x - 40

\text{Factor by finding numbers that sum up to -3 and multiply into -40:}\\\\0 = (x - 8)(x + 5)\\\\x = -5, 8

\text{The length of a segment cannot be negative, so choose the positive solution:}\\\\x = 8

\text{Substitute in this value of x into either AM or MB to solve for AB:}

AB = 2(MB)\\\\AB = 2(x^{2} )\\\\AB = 2(8^{2})\\ \\AB = 2(64)\\\\AB = 128 \text{ units}

5 0
3 years ago
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