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2 years ago

What’s a polynomial?

Mathematics

1 answer:

My name is Ann [436]2 years ago

7 0

Answer: Able to be described or limited by a polynomial.

The image is the example

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Two sides of a triangle are two consecutive number, whose area is 17.5cm². Find the numbers

AveGali [126]

Answer:

The numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.

Step-by-step explanation:

Two numbers are consecutives, when their difference is equal to 1. The area of the triangle is determined by the following formula:

$A = \frac{1}{2}\cdot n \cdot (n+1)$

$A = \frac{1}{2}\cdot (n^{2}+n)$

$A = \frac{n^{2}}{2}+\frac{n}{2}$

$n^{2}+n = 2\cdot A$

Where $n$ is the shortest length of the triangle, measured in centimeters.

And we get the following second-order polynomial:

$n^{2}+n -2\cdot A = 0$ (1)

If we know that $A = 17.5\,cm^{2}$ , then the shortest length of the triangle is:

$n_{1} = 5.437\,cm$ and $n_{2} \approx -6.437\,cm$

Since length is a positive variable, the only possible solution is:

$n\approx 5.437\,cm$

Then, the numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.

6 0

2 years ago

Find the inequalitie for d thank youuu <br><br><br> -7d+8>29

shutvik [7]

Answer:

d<3

Step-by-step explanation:

-7d+8>29

First lets remove the inequality for know

-7d+8=29

then remember to re add the inequality to the equation

-7d>21

since you divide by negative you switch

d<3

that is your answer

3 0

3 years ago

Factor the quadratic equation below to reveal the solutions. X^2+4x-21=-9

a_sh-v [17]

Answer:

x = 3 and x = -7

Step-by-step explanation:

The given quadratic equation is $x^2+4x-21=0$ . We need to find the solution of this equation.

If the equation is in the form of $ax^2+bx+c=0$ , then its solutions are given by :

$x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}$

Here, a = 1, b = 4 and c = -21

Plugging all the values in the value of x, such that :

$x=\dfrac{-b+ \sqrt{b^2-4ac} }{2a},\dfrac{-b- \sqrt{b^2-4ac} }{2a}\\\\x=\dfrac{-4+ \sqrt{(4)^2-4\times 1\times (-21)} }{2(1)},\dfrac{-4- \sqrt{(4)^2-4\times 1\times (-21)} }{2(1)}\\\\x=3, -7$

So, the solutions of the quadratic equation are 3 and -7.

6 0

3 years ago

Can someone help me find my error

AfilCa [17]

Answer:

try dividing 102 by 4 then after that make the length a lil bit bigger than the width but make sure it still equals 102

Step-by-step explanation:

mark me brainleist and ill give solution

6 0

2 years ago

Change this into decimal step by step plz

nika2105 [10]

Answer:

2.6

Step-by-step explanation:

3/5 ---> ?/100

100/5 ---> 20

3 20 60

-- x = -------

5 20 100

60/100 = 6/10

6/10 as a decimal is 0.6

2 + 0.6

= 2.6

<h2>Hope this helps!!</h2>

7 0

2 years ago