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spayn [35]
3 years ago
11

Consider the two functions given below. What is the y-intercept of g? A. (0,4) B. (0,14) C. (0,-5) D. (0,9)

Mathematics
2 answers:
forsale [732]3 years ago
8 0

Answer:

The correct answer is 0,4

Step-by-step explanation:

NISA [10]3 years ago
7 0

(0,4)   this si the answer


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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
Factor <br> 5(x^2n-1)·(2x^3n 1)^2
nikdorinn [45]

I think I may be wrong check

5(x^2n-1)×(2x^3n-1) ^2

=20n3 x8 -20n2 x5 +20n x3 +20n x3 +5n x2-5

3 0
3 years ago
Simplify: 7ax3+5x2a-9a÷3<br>​
posledela
1)Calculate the product:
21a + 10a - 3a
2)Collect like terms:
28a
Answer:
28a

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3 years ago
The perimeter of an equilateral triangle with side length s is 3s. Leslie is using a wooden equilateral triangle with 15-inch si
andreyandreev [35.5K]
The way to calculate the perimeter for this particular shape would be 3x15 being as there is three 15 inch sides and when we do the multiplication we get 45 so the perimeter is 45inches have a nice day and please mark brainliest
6 0
3 years ago
There’s more options but what’s the answer for now
mel-nik [20]
<h3><u>Answer</u><u>:</u><u>-</u></h3>

\sqrt[3]{125x^{12}y^6}\\\\\\ \to \sqrt[3]{(5x^{4}y^{2})^{^{3}}}\\\\\\ \to 5x^4y^2

4 0
2 years ago
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