Answer:
4
Step-by-step explanation:
Sin(30) = LJ/8sqrt(3)
Sin 30 = ½
LJ = 4sqrt(2)
LM = JM = x
x² + x² = (4sqrt(2))²
2x² = 32
x² = 16
x = 4
Answer:
A graph that has an axis of symmetry at x = 3 would be x^2 -6x + 12
Step-by-step explanation:
In order to find a graph that has an axis of symmetry at 3, use the equation for the axis of symmetry of a quadratic.
x = -b/2a
In this equation, a is the coefficient of x^2 and b is the coefficient of x. So, if we use 3 as x and we choose a random number to be a (1), we can solve for the b.
3 = -b/2(1)
3 = -b/2
6 = -b
b = -6
Now that we have this, we can put those two numbers as coefficients. The constant at the end can be anything.
You would find the decimal of a percentage by dividing the percentage by 100.
2.5/100=0.025
Answer:
13 + 4(2) - 5(13) + 3
<em>multiply the numbers</em>
13 + 8 - 65 + 3
<em>calculate the sum or difference </em>
= -41
Step-by-step explanation:
Let's solve this by using the quadratic formula:

Note that we only use the coefficients so a=12, b=-14, and c=-6.
Plug values in the quadratic equation:

And so by evaluating those values we obtain:

Now we have two answers which are our factors one where we add another where we subtract and so:
First factor:

Second Factor:

And so your factors are

meaning that those are your roots/x-intercepts.