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Rufina [12.5K]
3 years ago
14

A equação quadrática é escrita na forma a.X² + b.X + c = 0. Na equação quadrática seguinte 9.X² - 2.X + 6 = 0 , a soma dos valor

es dos coeficientes (a + b + c) vale:
Mathematics
1 answer:
-Dominant- [34]3 years ago
8 0

Answer:

a+b+c =13

Step-by-step explanation:

\left\begin{array}{ccccccc}aX^2&+&bX&+&c&=&0\\ \downarrow&&\downarrow&&\downarrow&&\downarrow\\9.X^2&-&2.X &+& 6 &=& 0\end{array}\right  \implies \left\{\begin{array}{ccccccc}a=9\\b=-2\\c=6\end{array}\right

\implies a+b+c = 9+(-2)+6\\=9-2+6\\=7+6\\=13\\\\\therefore a+b+c =13

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a 9ft ladder is placed 4.5 feet from the base of a wall. How high up will the ladder reach? Round to the nearest hundredth.
spin [16.1K]

Answer:

\huge\boxed{7.79 \ \text{feet}}

Step-by-step explanation:

We know that we have a 9 foot long ladder resting upon a wall, with an unknown height, but the ladder is 4.5 feet away from the wall.

This can be represented as a triangle, where x is the unknown side.

    |\

    |  \

x   |    \      9

    |      \

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We can use The Pythagorean Theorem to find the value of x. The theorem states that a^2+b^2=c^2, where a and b are the lengths of the legs and c is the length of the hypotenuse.

However, we already know the hypotenuse and one leg. Therefore we can substitute inside the equation to find the missing value.

a^2 + 4.5^2 = 9^2\\\\a^2 + 20.25 = 81\\\\a^2 = 60.75\\\\a \approx 7.79

Hope this helped!

7 0
2 years ago
How many solutions does the equation 6y - 3y -7 = -2 +3 have?
kenny6666 [7]

Answer:

6y - 3y - 7 = -2 +3

Simplify both sides:

3y -7 = 1

Add 7 to both sides:

3y = 8

Divide both sides by 3:

y = 8/3 = 2 2/3

There is only one solution.

8 0
3 years ago
I need to solve this expression
insens350 [35]
Hello,

(-9)⁴= (-9).(-9).(-9).(-9)= 81.81 = 6561
6 0
3 years ago
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Answer:

Step-by-step explanation:

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Thus Washington state's population density equals 7,705,281 / 71297.95

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2 years ago
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Answer:

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2,-8

Step-by-step explanation:

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2 years ago
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