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Olenka [21]
3 years ago
10

Calculate the area of the shape. CAN ANYONE HELP ???

Mathematics
2 answers:
lisov135 [29]3 years ago
7 0

Answer: 4+3+3+4

Step-by-step explanation:add first 4 +3

Kazeer [188]3 years ago
7 0

Answer:

81cm²

Step-by-step explanation:

So lets take the top shape as T1 and the bottom one as T2.

So for T2,

It is a square so the area is side×side

=5×5=25cm²

In T2,

The shape is a rectangle so the area=l×b

the length is not directly given, it is =4+5+5=14cm

Area=14×4

A=56cm²

Now the total area= Area of T1+ Area of T2

= 25+56= <em><u>81cm²</u></em>

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Show work and Factor 4x^2+xy-18y^2
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Answer:

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Step-by-step explanation:

Let's examine the following general product of two binomials with variables x and y in different terms:

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so we want the following to happen:

a\,c = 4\\ad+bc=1\\bd--18

Notice as well that ad+bc =1 means that those two products must differ in just one unit so, one of them has to be negative, or three of them negative. Given that the product bd=-18, then we can consider the case in which one of this  (b or d) is the negative factor. So let's then assume that a\,\,and \,\,c are positive.

We can then try combinations for  a\,\,and \,\,c  such as:

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Just by selecting the first one (a=4;\,\,c=1)

we get that 4d_b=1\\b=-4d-1

and since

bd=-18\\(-4d-1)\,d=-18\\-4d^2-d=-18\\4d^2+d-18=0

This quadratic equation give as one of its solutions the integer: d = -2, and consequently,

d=-18/(-2)\\d=9

Now we have a good combination of parameters to render the factoring form of the original trinomial:

a=4; \,\,b=9;\,\,c=1;\,\,d=-2

which makes our factorization:

(4x+9y)\,(x-2y)=4x^2+xy-18y^2

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