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Lunna [17]
3 years ago
10

PLLLLEEEAAASSSEEE HHHHEEEELLLPPPPPP

Mathematics
1 answer:
Alona [7]3 years ago
3 0

Answer:

looks like 410,526 books in total

Step-by-step explanation:

lmk if you need work

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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
I dont understand???????????
love history [14]

Answer:

Step-by-step explanation:

We can obtain that the dimensions of the rectangle are 7 by 5.

Since A = lw, the total area is 35.

5 0
2 years ago
A mother decides to teach her son about a letter each day of the week. She will choose a letter from the name of the day. For ex
OlgaM077 [116]

Answer:

  • A, D, E, F, H, I, M, N, O, R, S, T, U, W, Y

Explanation:

Order the letters of each day, omitting the repetitions:

MONDAY:

  • A, D, M, N, O, Y

TUESDAY:

  • A, D, E, S, T, U, Y

WEDNESDAY:

  • A, D, E, N, S, W, Y

THURSDAY:

  • A, D, H, R, S, T, U, Y

FRIDAY:

  • A, D, F, I, R, Y

SATURDAY:

  • A, D, R, S, T, U, Y

SUNDAY:

  • A, D, N, S, U, Y

Put the letters together:

  • A, D, M, N, O, Y, A, D, E, S, T, U, Y, A, D, E, N, S, W, Y, A, D, H, R, S, T, U, Y, A, D, F, I, R, Y, A, D, R, S, T, U, Y, A, D, N, S, U, Y

Delete the repetitions:

  • A, D, M, N, O, Y, E, S, T, U, W, H, R, F, I.

Reorder:

  • A, D, E, F, H, I, M, N, O, R, S, T, U, W, Y ← answer
3 0
3 years ago
Giant is selling Doritos 2 family bags for 7.00 I’m buying them for the class to celebrate great test scores if I buy 13 bags ho
elena55 [62]
$45.50
2 bags = $7
13 bags=?
7÷2=3.5
3.50=1 bag
$3.50 × 13 bags = $45.50 for 13 bags of Doritos
6 0
3 years ago
Use the given value to find the value of the other variable that is not provided.
Sedaia [141]

Answer:

Step-by-step explanation:

4(0) + 3y=12

4x0=0

0+3y=12

3 x 4=12

y=4

3 0
3 years ago
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