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AleksAgata [21]
3 years ago
9

How do I do this one ?

Mathematics
1 answer:
True [87]3 years ago
4 0
Use this to help https://www.desmos.com/calculator and type in your equation
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Type the correct answer in each box
Luba_88 [7]

Answer:

We know that the equation of the circle in standard form is equal to <em>(x-h)² + (y-k)² = r²</em> where (h,k) is the center of the circle and r is the radius of the circle.

We have x² + y² + 8x + 22y + 37 = 0, let's get to the standard form :

1 - We first group terms with the same variable :

(x²+8x) + (y²+22y) + 37 = 0

2 - We then move the constant to the opposite side of the equation (don't forget to change the sign !)

(x²+8x) + (y²+22y) = - 37

3 - Do you recall the quadratic identities ? (a+b)² = a² + 2ab + b². Now that's what we are trying to find. We call this process <u><em>"completing the square"</em></u>.

x²+8x = (x²+8x + 4²) - 4² = (x+4)² - 4²

y²+22y = (y²+22y+11²)-11² = (y+11)²-11²

4 - We plug the new values inside our equation :

(x+4)² - 4² + (y+22)² - 11² = -37

(x+4)² + (y+22)² = -37+4²+11²

(x+4)²+(y+22)² = 100

5 - We re-write in standard form :

(x-(-4)²)² + (y - (-22))² = 10²

And now it is easy to identify h and k, h = -4 and k = - 22 and the radius r equal 10. You can now complete the sentence :)

5 0
3 years ago
If a point is equidistant from the endpoint of segment, then it is
Mashutka [201]

Hi

.... then it is  located on the perpendicular bisector.

7 0
3 years ago
Factor: m^2 - 20m - 21
Ganezh [65]

(m-21) (m+1)there I thinks it's right unless I messed up my work

6 0
3 years ago
Read 2 more answers
What is the value of a?-2(a-8)+6a=36
saul85 [17]
-2(a-8)+6a=36 \\ \\ -2a + 16 + 6a = 36 \\ \\ 4a + 16 = 36 \\ \\ 4a = 36 - 16 \\ \\ 4a = 20 \\ \\ a =  \frac{20}{4} \\ \\ a = 5 \\ \\

The final result is: a = 5.
8 0
3 years ago
A high school of 350 students offers biology and chemistry courses. 213 students are enrolled in biology while 155 students are
NNADVOKAT [17]
350 - 213 - 155 + 78 = 60 students not in either
4 0
3 years ago
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