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sergey [27]
3 years ago
10

The measure of a side of a square is x units. A new square is formed with each side 6 units longer than the original squares sid

e. Write an expression to represent the area of the new square.
Mathematics
1 answer:
xenn [34]3 years ago
4 0
We know that
[area old square]=x*x--------> x²

[area new square]=(x+6)*(x+6)-------> (x+6)²-----> A=x²+12x+36

the answer is  
An <span>expression to represent the area of the new square is (</span>x²+12x+36)
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Step-by-step explanation:

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**A rock dropped from a 100 foot tower.
mars1129 [50]

Answer:

2.83 s

Step-by-step explanation:

We are given that

h(t)=-16t^2+10t+100

When a rock reached the ground then h(t)=0

-16t^2+10t+100=0

16t^2-10t-100=0

Using quadratic formula

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

t=\frac{10\pm\sqrt{(-10)^2-4\times 16\times (-100)}}{2(16)}

t=\frac{10\pm\sqrt{100+6400}}{32}

t=\frac{10+\sqrt{6500}}{32}=2.83

t=\frac{10-\sqrt{6500}}{32}=-2.2

Time cannot be negative .Therefore, negative value of t can not be possible.

Hence, the rock takes 2.83 sec to reach the ground.

8 0
4 years ago
Which point gives the vertex of ƒ(x) = –x2 + 4x – 3?
Dmitriy789 [7]

Answer:

The vertex is (2,1)

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Factor out the negative

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 Factor

What 2 numbers multiply to +3 and add to -4

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Find the zeros

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x=3            x=1

The x value of the vertex is 1/2 way between the two zeros

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To find the y value, substitute x=2 in

f(2) =  -( 2-3)(2-1)

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The vertex is (2,1)

4 0
3 years ago
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