Answer:
1536 in²
Step-by-step explanation:
S = 6s²
We are told that s = 16 inches, so plugging in:
S = 6 (16)²
S = 1536 in²
<u>Simplifying the equation:</u>
We are given the bi-quadratic equation:
9x⁴-3x²+1
to factorise this equation, we will convert it to a quadratic equation and factor it from there
in the given equation, let x² = y
now, the equation looks like:
9y² - 3y + 1
<u>Finding the Factors </u><em><u>(in terms of y)</u></em><u>:</u>
Using the quadratic formula: x = -b±√(b²-4ac) / 2a
replacing the variables in the equation
y = [-(-3) ± √[(-3)² - 4(9)(1)]]/2(9)
y= [3 ± √-27]/18
y = (1 ± √-3 / 6)
The 2 solutions are:
y = (1 + √-3 / 6) and y = (1 - √-3 / 6)
<u>Finding the values of 'x':</u>
<em>Since y = x²:</em>
x² = (1 + √-3 / 6) and x² = (1 - √-3 / 6)
<em>taking the square root of both sides</em>
x = √(1 + √-3 / 6) and x = √(1 - √-3 / 6)
As we can see, the given equation has complex roots and cannot be simplified further
The equation of a line that passes throught (x1,y1) and the slope is m is
y-y1=m(x-x1)
given
point is (-2,-6) and slope is 13
y-(-6)=13(x-(-2))
y+6=13(x+2)
last one
seems that nobody can type a "+" sign on this site
D is the answer
Answer:
Step-by-step explanation:
40 X 4 = 7 X50
160miles = 350miles
Answer:
x = 5, x = 1
Step-by-step explanation:
The quadratic equation 0 = 4(x - 3)2 - 16.
Using binomial theorem, (a - b)2 = a2 - 2ab + b2 to expand (x - 3)2.
0 = 4(x2 - 6x + 9 ) - 16.
Using distributive property to multiply 4 by x2 - 6x + 9.
0 = 4x2 - 24x + 36 - 16.
Subtract 16 from 36 to get 20.
0 = 4x2 - 24x + 20.
4x2 - 24x + 20 = 0.
Divide both sides by 4.
x2 - 6x + 5 = 0.
To solve the equation, factor and rewrite as x2 + ax + bx + 5
a + b = -6, ab = 1(5) = 5.
a = -5, b = -1.
Rewriting x2 - 6x + 5 as
(x2 - 5x) + (-x + 5)
Factor x in the first and -1 in the second group.
x(x - 5) - (x - 5)
Factor out common term
(x - 5)(x - 1)
By solving the above, we get
x = 5, x = 1