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aleksandr82 [10.1K]
2 years ago
10

The equation we are given (-at² + bt + c) is a parabola. How do we know this?

Mathematics
1 answer:
Scrat [10]2 years ago
4 0

It's a polynomial of degree 2. Every polynomial of degree 2 is a parabola

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52

Step-by-step explanation:

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(4)x(4)=16

36+16=52

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Factor the polynomial completely using the X method. X2 13x – 48 An x-method chart shows the product a c at the top of x and b a
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X method is the method to find the factors of the polynomial equation.The factor of the given polynomial is,

x^2+16x-3x-48=(x+16)(x-3)

Thus the option 3 is the correct option,

<h3>How to find factor of polynomial using X method?</h3>

X method is the method to find the factors of the polynomial equation.

The standard form of the quadratic equitation is given as,

ax^2+bx+c

Given information-

The equation given in the problem is,

x^2+13x-48

Compare the above equation with the standard form. We get,

a=1\\b=13\\c=-48

To find out the factor of above equation using X method, follow the steps.

  • Step 1) Multiply a and c and place ac at the top of X as shown in the image.

        ac=1\times(-48)\\ac=-48

  • Step 2) Place b at the bottom as shown in the image below.

       b=13

  • Step 3) Find two numbers that multiply the top number ac and to the bottom number b.

  • Step 4) Write the polynomial from the X box as,

         x^2+16x-3x-48=x(x+16)-3(x+16)

         x^2+16x-3x-48=(x+16)(x-3)

Hence the factor of the given polynomial is,

x^2+16x-3x-48=(x+16)(x-3)

Thus the option 3 is the correct option,

Learn more about the X method here;

brainly.com/question/24379507

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The volume of a cylinder is 2257 cm' and its height is 9 cm
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Answer:

Step-by-step explanation:

vol = r^2*h*pi

2257 = r^2*9*3.14159

r = square root ( 2257/ (9*3.14159))

r = 8.9345 cm

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