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GuDViN [60]
3 years ago
12

Determite weather the ordered pair is a solution of the linear equation x=y+1/2;(-5,-2)

Mathematics
1 answer:
Minchanka [31]3 years ago
7 0

Answer:

(y+1/2  ; y)

Step-by-step explanation:

hello :  all  ordered pair is a solution of the linear equation x=y+1/2;(-5,-2) is :

(y+1/2  ; y)

(-5 ; -2) is not  solution because y = -2  but  -2+1/2 = -3/2 no -5

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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
If u times 23 by 10 shouldn't u get 230 but my teacher says that's not it u have to did everything but I don't know what to did
cricket20 [7]
It is 230 I just clculated
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2 years ago
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prohojiy [21]

Answer:

Step-by-step explanation:

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2 years ago
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The length of the garden is 11 yards.The width of the garden is 8 yards. Select all of the expressions that chole could use to f
Sati [7]

Answer:

The length of the fence is 38 yards

These are the expressions

1. Perimeter = 2l+ 2w

2. Perimeter = 2(l+w)

Step-by-step explanation:

This problem bothers on the mensuration of flat shapes, a rectangle.

The length of the fence is the perimeter of the garden which is the expression that Chole could use

1. Perimeter = 2l+ 2w

2. Perimeter = 2(l+w)

Given data

Length = 11 yards

Width = 8 yards

Perimeter = 2(11)+ 2(8)

Perimeter = 22+16

Perimeter = 38 yards

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2 years ago
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Mariulka [41]

Answer:

42,5ft2

Step-by-step explanation:

mutiply 3 x 3=9 than divide by 2 that is equals

4,5, mutiply 4 x 3 that is equals to 12 and divide by 2 that is equals to 6, then you dont need to divide thst one because its not a triangle, mutiply 4 x 8 = 32 32 + 4,5 + 6 = 42,5.

6 0
2 years ago
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