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mr Goodwill [35]
3 years ago
5

What are the real zeros of x^3 + 4x^2 − 9x − 36

Mathematics
1 answer:
ivanzaharov [21]3 years ago
6 0
X3 + 4x2 -9x -36 
[x3 + 4x2] -9 [ x+4] 
take x2 common factor from first praket
x2[x+4] -9 [x+4] 
= [x+4] *[x2 -9] 
so the zeros of this equation are -4 , 3, -3
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In rectangle ABCD, point E lies half way between sides AB and CD and halfway between sides AD and BC. If AB=3 and BC=2, what is
Alex777 [14]

Answer:

<em>The area of the shaded region is 3.</em>

Step-by-step explanation:

Since point E lies halfway between AB and BC, the area of the shaded region (As) consists of two identical triangles with base equal to AB and height equal to half the measure of BC:

A_s=2 * A_t

Where At is the area of each triangle.

\displaystyle A_t=\frac{AB*BC/2}{2}

\displaystyle A_t=\frac{AB*BC}{4}

We know AB=3 and BC=2, thus:

\displaystyle A_t=\frac{3*2}{4}=\frac{6}{4}

Simplifying:

\displaystyle A_t=\frac{3}{2}

Finally:

\displaystyle A_s=2 * \frac{3}{2}

A_s=3

The area of the shaded region is 3.

Note the area of the shaded region is half the area of the rectangle.

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