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Ierofanga [76]
3 years ago
6

I’ll give brainiest :) pls help ASAP

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
7 0

Answer:

10⁷ is the correct answer of the question

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A small garden measures 9 ft by 13 ft. A uniform border around the garden increases the total area to 192 ft square. What is the
victus00 [196]

The width of border is 1.5 feet

<h3><u>Solution:</u></h3>

Given that small garden measures 9 ft by 13 ft

A uniform border around the garden increases the total area to 192 ft square

To find: width of border

Let the width of border be "x"

Then the new measures of garden are (9 + 2x) feet and (13 + 2x) feet

The total area of garden = 192 square feet

(9 + 2x)(13 + 2x) =192

117 + 18x + 26x + 4x^2 = 192\\\\4x^2 + 44x - 75 = 0

<em><u>Let us solve the above equation by quadratic formula</u></em>

\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0\\\\x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

Using the above formula,

For 4x^2 + 44x - 75 = 0 , we have a = 4 ; b = 44 ; c = -75

Substituting the values of a = 4 ; b = 44 ; c = -75 in above quadratic formula we get,

\begin{aligned}&x=\frac{-44 \pm \sqrt{44^{2}-4(4)(-75)}}{2 \times 4}\\\\&x=\frac{-44 \pm \sqrt{1936-1200}}{8}\\\\&x=\frac{-44 \pm \sqrt{3136}}{8}\\\\&x=\frac{-44 \pm 56}{8}\end{aligned}

\begin{aligned}&x=\frac{-44+56}{8} \text { or } x=\frac{-44-56}{8}\\\\&x=\frac{12}{8} \text { or } x=\frac{-100}{8}\\\\&x=1.5 \text { or } x=-12.5\end{aligned}

Since "x" cannot be negative,

we get x = 1.5

Thus width of border is 1.5 feet

4 0
3 years ago
How far from Memphis to Milwaukee
gregori [183]

Answer:

622.2 miles 1,001.3 kilometers

6 0
3 years ago
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What is the gcf of 44 and 121
love history [14]

Answer:11

Step-by-step explanation:

5 0
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What is the property to equation <br><br> 3+2=2+3
hoa [83]

Answer:

Commutative property w.r.t '+'

Step-by-step explanation:

3+2 =3+2

As both side contain two variable and both are adding and their answer is also same.

5=5

so this is commutative property with respect to addition.

7 0
3 years ago
What is the answer to y=3.648·1.182×
Goryan [66]

Answer:

if you are solving for X then X=0

Step-by-step explanation:

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