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aniked [119]
3 years ago
6

A square has a side length of 16.5 in. If the area is multiplied by 9, what happens to the side length?

Mathematics
1 answer:
nika2105 [10]3 years ago
7 0

Answer: The side length is tripled.

Step-by-step explanation: Area is length times width, or in the case of a square, s²

If the area is multiplied by 9, (that is 3²) it means the sides are 3 times as long.

16.5² = 272.25

(3)(16.5) = 49.5

49.5² = 2450.25

the same as 272.25 × 9

Triple the side length results in 9 times the area.

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Correct expression for 10 decreased by 3x
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10 - 3x

Step-by-step explanation:

Since the number 10 is decreased by 3x, that would mean the expression is 10 - 3x.

Hope this helped!

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3 years ago
X2 - 6x + 12 and y = 2x - 4, algebraically are
olga_2 [115]

<em><u>The solution is (4, 4)</u></em>

<em><u>Solution:</u></em>

<em><u>Given system of equations are:</u></em>

y = x^2 - 6x + 12 ------ eqn\ 1\\\\y = 2x - 4 ---------- eqn\ 2

<em><u>Substitute eqn 2 in eqn 1</u></em>

x^2 - 6x + 12 = 2x - 4

Make the right side of equation 0

x^2 - 6x + 12 - 2x + 4 = 0\\\\x^2 -8x + 16 = 0

<em><u>Solve by quadratic equation</u></em>

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\mathrm{For\:}\quad a=1,\:b=-8,\:c=16:\\\\x=\frac{-\left(-8\right)\pm \sqrt{\left(-8\right)^2-4\cdot \:1\cdot \:16}}{2\cdot \:1}\\\\x=\frac{-\left(-8\right)\pm \sqrt{0}}{2\cdot \:1}\\\\x = \frac{8}{2}\\\\x = 4

<em><u>Substitute x = 4 in eqn 2</u></em>

y = 2(4) - 4

y = 8 - 4

y = 4

Thus solution is (4, 4)

5 0
3 years ago
Solve c: P = a+b+c+d / 4
m_a_m_a [10]

Answer:

  • as written: c = P - a - b - d/4
  • with parentheses: c = 4P - a - b - d

Step-by-step explanation:

The meaning of the given expression is ...

  P = a + b + c + (d/4)

To solve for c, subtract all the terms on the right side not containing c.

  P -(a + b + (d/4)) = c

  c = P - a - b - (d/4)

_____

In such equations, parentheses are commonly missing. If that is the case here, then first we undo the division by 4, then we subtract the "not c" terms.

  P = (a + b + c + d)/4 . . . . maybe what you meant

  4P = a + b + c + d . . . . . . multiply by 4

  4P - (a +b +d) = c

  c = 4P -a -b -d

8 0
4 years ago
84.87 is 115% of what
elena-s [515]
Divide 84.87 by 1.15, and you get 73.8

Then you can check your work by multiplying 73.8 by 1.15 and you get 84.87
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