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LiRa [457]
3 years ago
10

There is 12 apples 3/4 of he apples go missing how many apples are left

Mathematics
2 answers:
andre [41]3 years ago
7 0
3
Because you can make 3/4 9/12 and if you just subtract 9 from 12 you get 3
maria [59]3 years ago
6 0
I think the answer might me 34
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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
When simplifying rational numbers, what would the answer be to 57/69
Irina-Kira [14]
You don't simplify rational numbers, but sometimes you can simplify a fraction.
The way to do that is to divide the top and bottom by their greatest common factor.

The greatest common factor of 57 and 69 is 3 .  When you divide the top and
bottom by 3 , you have  19/23 .  That's the simplest form of that particular fraction.
5 0
3 years ago
Read 2 more answers
Explain what x^(2/3) means using radicals and integer exponents.
Evgesh-ka [11]
The cube root of x^2.

If you look at a regular square root of a number, that would be the same as x^(1/2) See the pattern?
5 0
3 years ago
what is the largest of three consecutive integers if the sum of the two larger integers is 3 more than two times the smallest in
Alina [70]

Answer:

Ambitious Ambitios Ambitious Ambitions

5 0
3 years ago
Can anyone help me with this question 9 2/3 think you to who ever help me
Whitepunk [10]

Answer:

29/3

Step-by-step explanation:

Cauze 3 × 9 + 2 = 29/3

The denominater will be the same

8 0
3 years ago
Read 2 more answers
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