Answer:
x = - 8
Step-by-step explanation:
Calculate m using the slope formula and equate, since parallel lines have equal slopes.
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 4, 5) and (x₂, y₂ ) = (x, - 13)
m = =
and equating
=
( cross- multiply )
9(x + 4) = - 36 ( divide both sides by 9 )
x + 4 = - 4 ( subtract 4 from both sides )
x = - 8
Answer:
diameter ≈ 11 feet
Step-by-step explanation:
The area (A) of a circle is calculated using the formula
A = πr² ← r is the radius
To find r divide both sides of the equation by π
r² = =
Take the square root of both sides
r = ≈ 5.5 feet
Diameter = 2r = 2 × 5.5 = 11 feet
Answer: 49x^2=-21x-2 quadratic functions -1/7and -2/7
Step-by-step explanation:
Quadratic function:
In elementary algebra, the quadratic formula is a formula that provides the solution to a quadratic equation. There are other ways of solving a quadratic equation instead of using the quadratic formula, such as factoring, completing the square, graphing and others.
Move terms to the left side
49 =-21x-2
49 -(-21x-2) =0
Distribute
49 -(-21x-2) =0
49+21x+2=0
Use the quadratic formula
x=(-b±√ -4ac ) / 2a
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
49+21x+2=0
let, a=49
b=21
c=2
Replace with values in this equation
X=(-b±√ -4ac ) / 2a
Simplify
Evaluate the exponent
Multiply the numbers
Subtract the numbers
Evaluate the square root
Multiply the numbers
x=(-21±7) /98
Separate the equations
To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.Separate
x=(-21+7) /98
x=(-21-7) /98
Solve
Rearrange and isolate the variable to find each solution
x=-1/7
x=-2/7
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