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finlep [7]
3 years ago
12

it can be determined that the MAIN reason the King of England wishes to establish a new southern colony is because

Mathematics
1 answer:
allochka39001 [22]3 years ago
4 0

Answer:

I think that it is for profit but without the passage I cannot be sure

Step-by-step explanation:

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2. Suppose (220)_b and (251)_b are the squares of consecutive integers. Determine b.
Andrei [34K]

Let x and x+1 be these consecutive integers. For some base b, we can write

(x_{10})^2=220_b=2b^2+2b

((x+1)_{10})^2=251_b=2b^2+5b+1

If

x^2=2b^2+2b

then

x^2+1=2b^2+2b+1

Now,

x^2+2x+1=2b^2+5b+1

2x+2b^2+2b+1=2b^2+5b+1

\implies2x=3b

Squaring both sides gives

4x^2=9b^2

and so

4(2b^2+2b)=9b^2

\implies8b^2+8b=9b^2

\implies b^2-8b=0\implies\boxed{b=8}

(because the base has to be non-zero)

3 0
3 years ago
Pythagorean Theorem to find the missing the leg, if the hypotenuse is 12 inches and the other leg is 7 inches
madreJ [45]

Answer:

Adjacent = 9.75 inches.

Step-by-step explanation:

Given the following data;

Hypothenus = 12 inches

Opposite = 7 inches

To find the other leg i.e adjacent, we would use Pythagorean' theorem given by the formula;

Hypothenus² = opposite² + adjacent²

Substituting into the formula, we have;

12² = 7² + adjacent²

144 = 49 + adjacent²

Adjacent² = 144 - 49

Adjacent² = 95

Taking the square root of both sides, we have;

Adjacent = 9.75 inches.

Therefore, the other leg is 9.75 inches.

8 0
2 years ago
How do you solve for 4y+20=5x
Dima020 [189]

You cant because there are 2 different variables

hope this helps, have a great day

3 0
3 years ago
Read 2 more answers
If 6 sandwich rolls cost $1.44, how much will 26 rolls cost?
tresset_1 [31]

$6.24. This is because 1.44 / 6 = 0.24, and 0.24 x 26 = 6.24.

4 0
3 years ago
Read 2 more answers
A quadrilateral is shown. One pair of opposite sides have lengths of 10 inches and (x + 2) inches. The other pair of opposite si
ziro4ka [17]

Step-by-step explanation:

Yes, one pair of opposite sides could measure 10 inches. and the other pair could measure 13 inches

3 0
2 years ago
Read 2 more answers
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