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shepuryov [24]
3 years ago
8

I NEED HELP PLEASEEEEEEEEEEEEEEEEEEEEEEEEE

Mathematics
1 answer:
ser-zykov [4K]3 years ago
8 0

Answer:

58 square feet

Step-by-step explanation:

The room is already broken down into two smaller rectangles.

The smaller of the two measures 4 ft by 2 ft. A=lw, so substitute 4 for l and 2 for w.

A(smaller rectangle) =(4)(2), or (4*2).

A(smaller rectangle) =8

The larger measures 10 ft by 5 ft, so using the same method, multiply l times w.

A(larger rectangle) =(10)(5), or (10*5).

A(larger rectangle) =50

Add the two rectangles' areas together to find the total area of the room.

8 + 50 = 58

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. Use the quadratic formula to solve each quadratic real equation. Round
Liono4ka [1.6K]

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A. No real solution

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Step-by-step explanation:

The quadratic formula is:

\begin{array}{*{20}c} {\frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}} \end{array}, with a being the x² term, b being the x term, and c being the constant.

Let's solve for a.

\begin{array}{*{20}c} {\frac{{ 5 \pm \sqrt {5^2 - 4\cdot1\cdot11} }}{{2\cdot1}}} \end{array}

\begin{array}{*{20}c} {\frac{{ 5 \pm \sqrt {25 - 44} }}{{2}}} \end{array}

\begin{array}{*{20}c} {\frac{{ 5 \pm \sqrt {-19} }}{{2}}} \end{array}

We can't take the square root of a negative number, so A has no real solution.

Let's do B now.

\begin{array}{*{20}c} {\frac{{ 7 \pm \sqrt {7^2 - 4\cdot-2\cdot15} }}{{2\cdot-2}}} \end{array}

\begin{array}{*{20}c} {\frac{{ 7 \pm \sqrt {49 + 120} }}{{-4}}} \end{array}

\begin{array}{*{20}c} {\frac{{ 7 \pm \sqrt {169} }}{{-4}}} \end{array}

\begin{array}{*{20}c} {\frac{{ 7 \pm 13 }}{{-4}}} \end{array}

\frac{7+13}{4} = 5\\\frac{7-13}{4}=-1.5

So B has two solutions of 5 and -1.5.

Now to C!

\begin{array}{*{20}c} {\frac{{ -(-44) \pm \sqrt {-44^2 - 4\cdot4\cdot121} }}{{2\cdot4}}} \end{array}

\begin{array}{*{20}c} {\frac{{ 44 \pm \sqrt {1936 - 1936} }}{{8}}} \end{array}

\begin{array}{*{20}c} {\frac{{ 44 \pm 0}}{{8}}} \end{array}

\frac{44}{8} = 5.5

So c has one solution: 5.5

Hope this helped (and I'm sorry I'm late!)

4 0
3 years ago
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