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yanalaym [24]
3 years ago
12

ILL GIVE BRAINLIEST AND 10 POINTS

Mathematics
2 answers:
solmaris [256]3 years ago
5 0

Answer:

(7m^2+10)^2

Step-by-step explanation:

This is a quadratic in disguise. To visualize this better, let x=m^2. We have:

49x^2+140x+100

To factor, we can write out the format (ax+y)(bx+z). We're looking for numbers a, b, y, and z such that the following is true:

  • a\cdot b=49
  • a\cdot z+b\cdot y=140  
  • y\cdot z=100

We find the following numbers:

a=7,\\y=10, \\b=7, \\z=10

Thus, we have:

(7x+10)(7x+10)

Substitute back x=m^2 to get your final answer:

(7m^2+10)(7m^2+10)=\boxed{(7m^2+10)^2}

ExtremeBDS [4]3 years ago
4 0
I believe this is the answer

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A school wishes to enclose its rectangular playground using 480 meters of fencing.
Harlamova29_29 [7]

Answer:

Part a) A(x)=(-x^2+240x)\ m^2

Part b) The side length x that give the maximum area is 120 meters

Part c) The maximum area is 14,400 square meters

Step-by-step explanation:

The picture of the question in the attached figure

Part a) Find a function that gives the area A(x) of the playground (in square meters) in terms of x

we know that

The perimeter of the rectangular playground is given by

P=2(L+W)

we have

P=480\ m\\L=x\ m

substitute

480=2(x+W)

solve for W

240=x+W\\W=(240-x)\ m

<u><em>Find the area of the rectangular playground</em></u>

The area is given by

A=LW

we have

L=x\ m\\W=(240-x)\ m

substitute

A=x(240-x)\\A=-x^2+240x

Convert to function notation

A(x)=(-x^2+240x)\ m^2

Part b) What side length x gives the maximum area that the playground can have?

we have

A(x)=-x^2+240x

This function represent a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

The x-coordinate of the vertex represent the length that give the maximum area that the playground can have

Convert the quadratic equation into vertex form

A(x)=-x^2+240x

Factor -1

A(x)=-(x^2-240x)

Complete the square

A(x)=-(x^2-240x+120^2)+120^2

A(x)=-(x^2-240x+14,400)+14,400

A(x)=-(x-120)^2+14,400

The vertex is the point (120,14,400)

therefore

The side length x that give the maximum area is 120 meters

Part c) What is the maximum area that the playground can have?

we know that

The y-coordinate of the vertex represent the maximum area

The vertex is the point (120,14,400) -----> see part b)

therefore

The maximum area is 14,400 square meters

Verify

x=120\ m

W=(240-120)=120\ m

The playground is a square

A=120^2=14,400\ m^2

8 0
3 years ago
Write a rule that tell how to use mental math to find the product 30,000 x 50,000​
tensa zangetsu [6.8K]

Answer:Step 1. Think of the basic fact. Multiply. 6  2  12

Step 2- Count the number of zeros in the factors.

                60 has 1 zero and

                     20 has 1 zero.

Step 3- Write that number of zeros to the right of The answer is 1,200.

the basic-fact product.

<h2>hope this helps have a awesome night/day❤️✨</h2>

Step-by-step explanation:

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3 years ago
A right triangle has side 10 and hypotenuse 26. Use the Pythagorean Theorem
alekssr [168]

Answer:

24

Step-by-step explanation:

The Pythagorean Theorem states that a^{2} +b^{2} =c^{2} where a and b are the legs in a right triangle and c is the hypotenuse. Therefore, just substitute the values a = 10 and c = 26 into the equation to get b = 24

Hope this helps :)

3 0
2 years ago
Help meee plssssssssssssssssssssssssssss
Drupady [299]

Answer:

either a or c no problem nskskdjdjd

3 0
2 years ago
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