The discriminant is 164 and there are two real solutions.
What is Quadratic equation?
A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax^2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.
We can find the discriminant as shown below:
x^2+14x+8=0
a=1, b=14, c=8
Discriminant=b^2-4ac
=(14)^2-4*1*8
=196-32
=164>0
As the discriminant is positive and greater than zero. So, there are two real and distinct solution.
Hence, discriminant is 164 and two real solution.
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For x.
All the right triangles are similar, so
.. hypotenuse/(short side) = x/6 = 6/(x -9)
Multiplying by the product of denominators gives
.. x(x -9) = 36
Two factors of 36 that differ by 9 are 12 and 3, so we have
.. x = 12
For y, we can use the Pythagorean theorem.
y^2 +6^2 = 12^2
y^2 = 144 -36 = 108
y = √108 = √(36*3)
y = 6√3
Answer:
27.001
Step-by-step explanation:
Answer:
Rick Astley measures a window's front side to be 12 feet in length by 3/8 feet in width. What is the surface area of the window?
Step-by-step explanation:
You don't have to use Rick Astley, but you can if you want ;)
Aswer: 4.5 ft^2
ANSWER
The required equation is,
EXPLANATION
We want to find the equation of the circle given center
and radius
units.
The equation of a circle given the radius,
and center
is given by the formula,
We substitute,
to obtain,
This will simplify to give us,
The correct answer is D.