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lilavasa [31]
3 years ago
6

Pierre cut the length of an 8 cm wide plank into nine pieces and arranged them as shown in the picture. The centrepiece is a squ

are. How long was the original plank?

Mathematics
1 answer:
kow [346]3 years ago
8 0

Answer: 200cm

Step-by-step explanation:

The center Planck is a square of length 8cm.

The 4 next planks are of 16 cm each

And the next 4 Planks are of 32 cm each.

8 + 4(8×2) + 4(8×4)

8 + 4(16) + 4(32)

8 + 64 + 128

200 cm

Length of the original plank is 200cm

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ser-zykov [4K]

3^{x + 2} - 3^{x} = 3^{x}* 3^{2} - 3^{x} = 9(3^{x}) - 1(3^{x}) = 8(3^{x})

3^{x + 2} - 3^{x} = \frac{8}{9}

⇒ 8(3^{x}) = \frac{8}{9}

⇒ 3^{x} = \frac{1}{9}   <em>multiplied both sides by 8</em>

⇒3^{x} = \frac{1}{3^{2} }

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Answer: x = -2

6 0
3 years ago
Robyn uses cup of blueberries to make each loaf of blueberry bread. Explain how many loaves of blueberry bread she can make with
tekilochka [14]

Answer:

2 loaves of blueberry bread

Step-by-step explanation:

for 1 loaf of bread she uses 1 cup

for 2 loaves she will use 2 cupa

7 0
3 years ago
Write the prime factorization of the number 264
Xelga [282]
264
132 * 2
66 * 2 * 2
33 * 2 * 2 * 2
11 * 3 * 2 * 2 * 2 <== or can also be written as 11 * 3 * 2^3
4 0
3 years ago
If g(x) = 3x^2+2x-1. Find g(-1).​
Mandarinka [93]

Step-by-step explanation:

g(x) = 3x² + 2x - 1

g(-1) = 3(-1)² + 2(-1) - 1

= 3(1) -2 -1

= 3 - 3

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5 0
4 years ago
Can someone solve point-slope lines and show work? I’m confused
Bad White [126]

Answer:

Option (2)

Step-by-step explanation:

Equation of a line passing through a point (x', y') and slope 'm' is given by,

y - y' = m(x - x')

From the question in the picture attached,

Slope of the line 'm' = -\frac{7}{10}

Line passes through a point (80, -71).

Equation of the line will be,

y + 71 = -\frac{7}{10}(x-80)

y = -\frac{7}{10}x+56-71

y = -\frac{7}{10}x-15

Option (2) will be the answer.

8 0
3 years ago
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