Answer:
(-4,-3)
Step-by-step explanation:
just use rise and run slope
you run-4 units x and rise y -3
Standard form : Ax+By=C
Answer:
-x + 5y = 12
Step-by-step explanation:
Eliminate the fractional coefficient by multiplying both sides by 5:
5y - 15 = x - 3
Combine the constants: 5y = x + 12
Subtract x from both sides: -x + 5y = 12 This is in standard form
what is the value of x?
The center of the circle is: (-4 ; -11) and the radius of the circle is r = 10
What is equation of circle?
The general equation for a circle is (x-a)² + (y-b)² = r², where ( a, b ) is the center and r is the radius.
Given:
x² + y² + 8x + 22y + 37 = 0.
Now, to find both coordinates and radius write the given equation in standard form:
(x-a)² + (y-b)² = r²
x² + 8x + y²+ 22y= -37
( x² + 2* x*4 + 4²)+( y² + 2*y* 11 + 11²) = -37 + 16 + 121
(x + 4)² + ( y+ 11)² = 100
(x + 4)² + ( y+ 11)² = 10²
So, center of the circle is: (-4 ; -11)
and the radius of the circle is r = 10
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Answer:
x = - 7, x =
Step-by-step explanation:
Given
2x² + 13x - 7 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × - 7 = - 14 and sum = + 13
The factors are + 14 and - 1
Use these factors to split the x- term
2x² + 14x - x - 7 = 0 ( factor the first/second and third/fourth terms )
2x(x + 7) - 1(x + 7) = 0 ← factor out (x + 7) from each term
(x + 7)(2x - 1) = 0
Equate each factor to zero and solve for x
x + 7 = 0 ⇒ x = - 7
2x - 1 = 0 ⇒ 2x = 1 ⇒ x =