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Karo-lina-s [1.5K]
3 years ago
9

Decide if 6x + 2 = 2 + 6x has no solution, one solution, or infinitely many solutions

Mathematics
1 answer:
Elanso [62]3 years ago
3 0

Answer:

HI!

Step-by-step explanation:

BYE!

Sorry :(

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Your friend is wrapping 1 meter of twine around a spool with a 2-centimeter diameter. The spool is thin and accommodates only on
Kazeer [188]

Answer:

a) 6 complete times

b) 19.3%

Step-by-step explanation:

In every turn, the diameter of the twine increases 1 cm.

After the first turn, there is a total wrapped of 3.14*2=6.3 cm.

After the second turn, we have wrapped 6.3+3.14*(2+1)=15.7 cm.

If we continue with these algorithm, we have that after the 6th turn we have 84.8 cm wrapped. <em>This is the last complete turn.</em>

T = 0 D = 2 cm. Wrapped = 6.3 cm. Total wrapped = 6.3 cm.

T = 1         D = 3 cm. Wrapped = 9.4 cm. Total wrapped = 15.7 cm.

T = 2 D = 4 cm. Wrapped = 12.6 cm. Total wrapped = 28.3 cm.

T = 3 D = 5 cm. Wrapped = 15.7 cm. Total wrapped = 44 cm.

T = 4 D = 6 cm. Wrapped = 18.8 cm. Total wrapped = 62.8 cm.

T = 5 D = 7 cm. Wrapped = 22.0 cm. Total wrapped = 84.8 cm.

T = 6 D = 8 cm. Wrapped = 25.1 cm. Total wrapped = 110 cm.

There are left (100-84.8) = 15.2 cm to wrap around the twine, which has a 25.1 cm diameter by now.

The perimeter of the twine is 3.14*25.1=78.8 cm.

The percentage of a complete circle that the last wrapping of the twine will make is:

P = 15.2/78.8 = 0.193 = 19.3%

4 0
3 years ago
Find the distance between the 2 points (6, - 4) and (2, - 7). Please show me how you found it.
Serga [27]
\bf \textit{distance between 2 points}\\ \quad \\&#10;\begin{array}{lllll}&#10;&x_1&y_1&x_2&y_2\\&#10;%  (a,b)&#10;&({{ 6}}\quad ,&{{ -4}})\quad &#10;%  (c,d)&#10;&({{ 2}}\quad ,&{{ -7}})&#10;\end{array}\qquad &#10;%  distance value&#10;d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}&#10;\\\\\\&#10;d=\sqrt{[2-6]^2+[-7-(-4)]^2}\implies d=\sqrt{(2-6)^2+(-7+4)^2}
5 0
3 years ago
Simplify 4x+5/6x^2-x-12 subtract 5x/6x^2-x-12
neonofarm [45]
<span>4x+5/6x^2-x-12 - (5x/6x^2-x-12)
= (4x + 5 - 5x)/(</span>6x^2-x-12)
= (-x + 5) / (2x - 3)(3x +4)
<span>
answer

       -x + 5
---------------------
</span>  (2x - 3)(3x +4)
7 0
3 years ago
I will mark brainiest is my answer is correct? I just got confuse because it saying do not simplify
sasho [114]

Answer:

m^2 +my-my-y^2

Step-by-step explanation:

just dont simplify

6 0
3 years ago
Round to the nearest hundred thousand 257,098
olga nikolaevna [1]
300,000 because if a number is above 5, 50, 500, 5000, etc. then it rounds up instead of down.
4 0
2 years ago
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