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babymother [125]
3 years ago
9

a square measuring 9 inches by 9 inches is cut from a corner of a square measuring 15 inches by 15 inches. what is the area of t

he L shaped figure that is formed?
Mathematics
1 answer:
AVprozaik [17]3 years ago
3 0
First, find the area of each figure. Then subtract the smaller area from the larger area. Your work should look something like this:

A = l * w
A = 9 * 9
A = 81

This is the area of the smaller square. Now find the area of the larger square. 
A = l * w
A = 15 * 15
A = 225

Now subtract the two areas to find the area of the shape that is left when the smaller square is cut out. 

225 - 81 = 144 

Your final answer should be:
144 in^2
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Answer:

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Step-by-step explanation:

Here we are given that a polynomial has zeros as 2 , i and -i . We need to find out the cubic polynomial . In general we know that if \alpha , \ \beta \ \& \ \gamma are the zeros of the cubic polynomial , then ,

\sf \longrightarrow p(x)= (x -\alpha )(x-\beta)(x-\gamma)

Here in place of the Greek letters , substitute 2,i and -i , we get ,

\sf\longrightarrow p(x)= (x -2 )(x-i)(x+i)

Now multiply (x-i) and (x+i ) using the identity (a+b)(a-b)=a² - b² , we have ,

\sf  \longrightarrow p(x)= (x-2)\{ x^2 - (i)^2\}

Simplify using i = √-1 ,

\sf \longrightarrow p(x)= (x-2)( x^2 + 1 )

Multiply by distribution ,

\sf \longrightarrow p(x)= x(x^2+1) -2(x^2+1)

Simplify by opening the brackets ,

\sf\longrightarrow p(x)= x^3+x-2x^2-2

Rearrange ,

\sf\longrightarrow \underline{\boxed{\blue{\sf p(x)= x^3-2x^2+x-2}}}

4 0
2 years ago
In the diagram, which two angles are corresponding angles with angle 12?
Rama09 [41]

Answer:

It's 8 the answer is 8

Step-by-step explanation:

6 0
3 years ago
Suppose y = 2x + 1 , where x and y are functions of t. (a) if dx/dt = 6, find dy/dt when x = 4. dy dt = (b) if dy/dt = 2, find d
evablogger [386]

y=2x+1\\\\\dfrac{dy}{dt}=2\dfrac{dx}{dt}

(a) For dx/dt=6, dy/dt = 2·6 = 12

(b) For dy/dt=2, 2 = 2·dx/dt ⇒ dx/dt = 1

_____

The value of x is irrelevant for this question.

=====

If your function is 2^x +1 or 2^(x +1), it needs to be written as such. The answer above applies to the function given.

7 0
3 years ago
Solve 4x + 10-30<br> X&lt;5<br> x&gt;5<br> X&lt;10<br> X&gt;10
LekaFEV [45]

Answer:

0

Step-by-step explanation:

4x + 10 - 30

4 × 5 + 10 - 30

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3 0
3 years ago
I don't know how to do this. Help please
ASHA 777 [7]
Here is your equation simplified 

Hope it helps!

7 0
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