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3 years ago

Subtract 4 from 1/6 in parentheses

1 answer:

3 0

I am not sure if what I am about to explain is correct but I hope it is somewhere along the correct path

To solve the problem use the following steps below....

Step 1: Take your numbers and place them in parentheses

(4-1/6)

Step 2: Turn your whole number,4, into a fraction

6/6=1
6/6x4=24/6

Step 3: Place your new fraction back into the problem

(24/6-1/6)

Step 4: Use the operation,subtraction, and minus 1/6 from 24/6

(23/6)
24/6 minus 1/6=23/6

Step 5(is optional): Turn 23/6 into a mixed fraction by dividing 23 by 6

23<span>÷6= 3 5/6

Step 6(is optional): put your answer into a final statement

(4-1/6)=23/6=3 5/6

Answer: 3 5/6

I hope this helps and I apologize in advance if any false information was given.
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Write the standard form of the equation for the circle that passes through the points (2,31),(-15,14),(33,0)

stepladder [879]

Answer:

Step-by-step explanation:

Begin with the standard form of a circle as a conic:

$Ax^2+Bxy+Cy^2+Dx+Ey+F=0$

For a circle, A and C will be the exact same, and B will equal 0. If B is non-zero, the equation represents a rotation of a conic, which is reserved for college-level courses. Shortening this, then:

$x^2+y^2+Dx+Ey+F=0$ is good enough for us for this. Start with the first point on the circle, (2, 31) and fill in the equation above with x and y:

$2^2+31^2+2D+31E+F=0$ which simplifies down to:

$(1):2D+31E+F=-965$

Do the same with the next point on the circle, (-15, 14):

$-15^2+14^2-15D+14E+F=0$ which simplifies down to:

$(2):-15D+14E+F=0$

Do the same with the last point, (33, 0):

$33^2+0^2+33D+0E+F=0$ which simplifies down to:

$(3):33D+F=-1089$

Now we will add (1) and (2) to get (4):

2D + 31E + F = -965

-15D + 14E + F = -421

Multiply the top equatio by -1 to get rid of the F terms:

-2D - 31E - F = 965

-15D + 14E + F = -421

which simplifies to

(4): -17D - 17E = 544

Now add (2) and (3) to get (5):

-15D + 14E + F = -421

33D + F = -1089

Multiply the bottom equation by -1 to get rid of the F terms:

-15D + 14E + F = -421

-33D - F = 1089

which simplifies to

(5): -48D + 14E = 668

Now add (4) and (5) together and eliminate the E terms:

-17D - 17E = 544

-48D + 14E = 668

In order to eliminate the E terms, multiply the top equation by 14 and the bottom equation by 17 to solve for D:

-238D - 238E = 7616

-816D + 238E = 11356

Which gives you that

D = -18

Now plug the value for D into (4) to find E:

-17(-18) - 17E = 544 and

306 - 17E = 544 and

-17E = 238 so

E = -14

Now plug the values for both D and E into (1) to find F:

2(-18) + 31(-14) + F = -965 and

-36 - 434 + F = -965 and

-470 + F = -965 so

F = -495

Now we can fill in the standard form of the conic:

$x^2+y^2-18x-14y=495$

but we're not done til we complete the square on both the x terms and the y terms (and I am assuming you know how to complete the square):

$(x^2-18x+81)+(y^2-14y+49)=495+81+49$ which simplifies to

$(x-9)^2+(y-7)^2=625$

The second choice down matches that equation, but the center they have there is not correct. The center of that circle is (9, 7) and they have it as being (7, 10) with a radius of 5. The radius is 25. The center is wrong in the equation that represents the circle as is the radius. Maybe let someone know that...

4 0

3 years ago

Read 2 more answers

PLEASE HELP FIRST ANSWER IS THE BRAINLIEST ANSWER!!!

motikmotik

Step-by-step explanation:

There are no choices available, so here is a graph of that equation. Simply compare it to the answer.

6 0

3 years ago

Which expression is the sun of cubes?

Nina [5.8K]

Answer:

Step-by-step explanation: We have been given 4 expressions. We are asked to choose the expression that represents sum of cubes.

We know that sum of cubes is in form .

We can see that 1st and 2nd option has a negative sign. Therefore, these options cannot be sum of cubes.

Let us check 3rd and 4th options one by one.

We can rewrite our expression by writing terms as cubes:

Therefore, expression is a sum of cubes.

In 4th expression, we can see that . We cannot represent it as a cube. Similarly, we cannot represent as a cube. Therefore, 4th expression is not correct.

7 0

3 years ago

If a tuning fork vibrates at 120 times per second, how long does it take for 1 vibration?

SVEN [57.7K]

Answer:

120÷1

Step-by-step explanation:

it would be 120 milla secounds

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3 years ago

Below are 36 sorted ages of an acting award winner. Find Upper P70 using the method presented in the textbook.

Leona [35]

The upper 70th percentile is the number below which 70% of the data lie.

The 70th percentile position is given by:

$P_{70}= \frac{70N}{100} = \frac{70(36)}{100} =25.2$

Thus, the 70th percentile position is approximately the 25th data item (after the data has been arranged in acsending order).

Given the following data:
<span>16 24 25 26 27 29 36 39 39 39 40 44 45 47 47 48 50 51 51 53 53 54 57 58
58 60 65 66 67 69 69 71 72 74 74 74

The 25th data in the data set is 58.

Therefore, the upper P70 is 58.
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6 0

3 years ago

Read 2 more answers