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3 years ago

The area of a square in square feet is represented by z^(2)+12z+36. Find an expression for a side length of the square.

Mathematics

1 answer:

Gnoma [55]3 years ago

5 0

Answer:

Side is equal to $(z+6)$ feet.

Step-by-step explanation:

A square is a four sided polygon in which all sides are equal, diagonals are equal and each angle is equal to $90$ °

Area of a square = side × side

Area of a square $=z^2+12z+36$

Here, write $12z=6z+6z$

Therefore,

Area of a square $=z^2+6z+6z+36$

$=z(z+6)+6(z+6)$

$=(z+6)^2$ square feet

So,

side × side $=(z+6)^2$

This implies side is equal to $(z+6)$ feet.

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3 years ago

When sarah was 6 months old, she was 21 inches tall and her head had a diameter of 4.5 inches. now, at 20 year sold, she is 6 ft

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3 years ago

Help mi out plz..... solve using matrix method

HACTEHA [7]

Answer:

x = $\frac{22}{7}$

y = $\frac{3}7}$

Step-by-step explanation:

$2x-3y=5\\5x=4y=14\\\\\left[\begin{array}{cc}2&-3\\5&-4\\\end{array}\right] \left[\begin{array}{c}x\\y\\\end{array}\right] =\left[\begin{array}{c}5\\14\\\end{array}\right]$

Let A = $\\\left[\begin{array}{cc}2&-3\\5&-4\\\end{array}\right]$

The inverse of A multiplied by A = the identity matrix $\left[\begin{array}{cc}1&0\\0&1\\\end{array}\right]$

Inverse of A = $\frac{1}{detA}$ $\left[\begin{array}{ccc}-4&3\\-5&2\\\end{array}\right]$

detA = ad - bc = $-8 - - 15 = 7$

Inverse of A = $\left[\begin{array}{cc}\frac{-4}{7} &\frac{3}{7} \\\frac{-5}{7} &\frac{2}{7}\\\end{array}\right]$

$\left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{cc}\frac{-4}{7} &\frac{3}{7} \\\frac{-5}{7} &\frac{2}{7}\\\end{array}\right] \left[\begin{array}{ccc}5\\14\\\end{array}\right] = \left[\begin{array}{ccc}\frac{22}{7} \\\frac{3}{7} \\\end{array}\right]$

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3 years ago