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Alex17521 [72]
3 years ago
9

Write a polynomial equation in standard form with the following zeros 4,9

Mathematics
1 answer:
Evgen [1.6K]3 years ago
3 0

Answer:

y = x² - 13x + 36

Step-by-step explanation:

Given the zeros x = 4 and x = 9, then the corresponding factors are

(x - 4) and (x - 9)

The polynomial is then the product of the factors

y = (x - 4)(x - 9) ← expand using FOIL

y = x² - 13x + 36

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IRISSAK [1]
6^2 = x (x - 9)
x^2 - 9x - 36 = 0
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4 years ago
Find the area of the rectangle. Round the answer to the nearest whole number.
Fed [463]

Answer:

The area of the given rectangle is 51

Step-by-step explanation:

First we have to find the coordinates of the vertices of the rectangle.

Then the length and breadth of it using distance formula.

The distance d between points (x₁ , y₁) and (x₂ , y₂) is given by

d= \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}

Finally calculate the area of rectangle using the formula,

Area of rectangle = Length * Breadth

From the given graph, we get the coordinates of the rectangle as

A(2,4) , B(-2,3) , C(1,-9) , D(5,-8)

Breadth, AB = \sqrt{(-2-2)^{2}+(3-4)^{2}} = \sqrt{16+1} = sqrt{17}

Length, BC = \sqrt{(1+2)^{2}+(-9-3)^{2}} = \sqrt{9+144} = 3 sqrt{17}

Now, Area of rectangle = Length * Breadth = AB * BC = √17 * 3√17 = 3 *17 = 51

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Step-by-step explanation:

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3 years ago
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Answer:

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Step-by-step explanation:

Using the order of operations PEMDAS ( parenthesis, exponents, multiplication, division, addition, subtraction )

Given

17 - 6 × 10 ÷ 2 + 12 ← perform multiplication

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= 17 - 30 + 12 ← perform addition/ subtraction from left to right

= - 13 + 12

= - 1

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3 years ago
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