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 :)
Divide 14 by 2 to get the radius and plug into formula.
pi 7^2 16
pi 49 16= pi784=2462.7
2463 cm3 is the answer
She has $12,488 in savings
Step-by-step explanation:
Ariana plans to use $260 less than three-fourths of savings to buy a car.
If the purchase price of the car is 9,340, we need to find how much
she has in savings
To find the savings
- Assume that she has $x in savings
- Write an equation of x
- Solve the equation to find x
∵ She has $x in savings
∵ She plans to use $260 less than three-fourths of savings
- Three-fourths means 
and less than means subtract
∴ She plans to use x - 26
∵ The purchase price of the car is 9,340
- Equate the expression of x by 9,340
∴ x - 26 = 9,340
Now let us solve the equation
∵ x - 26 = 9,340
- Add 26 to both sides
∴ x = 9,366
- Divide both sides by
∴ x = $12,488
She has $12,488 in savings
Learn more:
You can learn more about word problems in brainly.com/question/3950386
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Answer:
400 students
Step-by-step explanation:
So 15 percent is 60 students
make an equation
0.15x=60
X stands for the total amount fo students and multiply that 0.15 becuase we know ti equals 60 and finding X will solve both problems
that’ll give you 400 students
if you check
400*0.15=60
So its correct
Answer:
x=32
Step-by-step explanation:
2x+10=74
2x=64
x=32
