Tentukan pusat dan jari-jari dari lingkaran dengan persamaan berikut:
x^{2}+y^{2}− 4x + 6y − 12=0
Answer (5)
4x - 7 = 13 4x = 20 x = 5
The value of x in the expression 4x - 7 = 13 is 5.
What is an expression?
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number = x
Now,
The difference between four times a number and seven is thirteen.
4x - 7 = 13
Solve for x.
4x - 7 = 13
Add 7 on both sides.
4x = 13 + 7
4x = 20
Divide 4 into both sides.
x = 5
Thus,
The value of x is 5.
Learn more about expressions here:
https://brainly.com/question/3118662
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The equation based on the problem is 4 x − 7 = 13 . After solving, we find that the number is 5. Therefore, the answer is 5.
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persamaan lingkaran(x - a)² + (y - b)² = r²x² + y² - 4x + 6y - 12 = 0x² - 4x + (4/2)² + y² + 6y + (6/2)² = 12 + 2² + 3²x² - 4x + 4 + y² + 6y + 9 = 25(x - 2)² + (y + 3)² = 5²pusat lingkaran = (a, b) = (2, -3)jari-jari lingkaran = 5
Penyelesaian[tex]x^{2}+y^{2}-4x+6y-12 = 0[/tex][tex]\bigl(x^{2}-4x\bigr) + \bigl(y^{2}+6y\bigr) = 12[/tex][tex]x^{2}-4x + 4 = (x-2)^{2}+4[/tex][tex]y^{2}+6y + 9 = (y+3)^{2}+9[/tex][tex](x-2)^{2} + (y+3)^{2} = 12 + 4 + 9[/tex][tex]= 25[/tex][tex](x-2)^{2} + (y+3)^{2} = 25[/tex][tex](a,b) = (2,-3)[/tex][tex]r = \sqrt{25}[/tex][tex]= 5[/tex]pusat lingkaran = [tex]\boxed{(2,-3)}[/tex]jari-jari = [tex]\boxed{5}[/tex]
