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vagabundo [1.1K]
3 years ago
6

8s-10=27-(3s-7) What does “s” equal?

Mathematics
1 answer:
DIA [1.3K]3 years ago
8 0

Answer:

s = 4

Step-by-step explanation:

Solve for s:

8 s - 10 = 34 - 3 s

Add 3 s to both sides:

8 s + 3 s - 10 = (3 s - 3 s) + 34

3 s - 3 s = 0:

8 s + 3 s - 10 = 34

8 s + 3 s = 11 s:

11 s - 10 = 34

Add 10 to both sides:

11 s + (10 - 10) = 10 + 34

10 - 10 = 0:

11 s = 34 + 10

34 + 10 = 44:

11 s = 44

Divide both sides of 11 s = 44 by 11:

(11 s)/11 = 44/11

11/11 = 1:

s = 44/11

The gcd of 44 and 11 is 11, so 44/11 = (11×4)/(11×1) = 11/11×4 = 4:

Answer:  s = 4

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The equation of a circle can be the expanded form of

\large \text{$(x-a)^2+(y-b)^2=r^2$}(x−a)

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\begin{gathered}\begin{aligned}&x^2+y^2+10x-4y-20&=&\ \ 0\\ \\ \Longrightarrow\ \ &x^2+y^2+10x-4y+25+4-49&=&\ \ 0\\ \\ \Longrightarrow\ \ &x^2+y^2+10x-4y+25+4&=&\ \ 49\\ \\ \Longrightarrow\ \ &x^2+10x+25+y^2-4y+4&=&\ \ 49\\ \\ \Longrightarrow\ \ &(x+5)^2+(y-2)^2&=&\ \ 7^2\end{aligned}\end{gathered}

⟹

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x

2

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x

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From this, we get two things:

\begin{gathered}\begin{aligned}1.&\ \ \textsf{Center of the circle is $(-5,\ 2)$.}\\ \\ 2.&\ \ \textsf{Radius of the circle is $\bold{7}$ units. }\end{aligned}\end{gathered}

1.

2.

Center of the circle is (−5, 2).

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2 years ago
Is the perimeter of a square and its side length linear or not linear?
NARA [144]
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3 years ago
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Dvinal [7]
<h3>Answer:     3^9</h3>

This is the same as writing 3^9

====================================================

How to get that answer:

The lowest height is 3^8, and the highest point is 3 times that value.

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Multiply 3^8 and 3^1 using the rule that a^b*a^c = a^(b+c). We add the exponents together.

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3 0
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which function has real zeros at x = −10 and x = −6? f(x) = x2 16x 60 f(x) = x2 − 16x 60 f(x) = x2 4x 60 f(x) = x2 − 4x 60
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