Answer:
The remaining side has a length of six units.
Step-by-step explanation:
We know that this is an Isosceles triangle because angles A and C are marked as being the same angle. So we know that AB and CB are the same length.
As we're given their lengths, we can simply equate the two, and solve for x:

So we know that the remaining side has a length of 6.
Answer:
m = 100, t = 80
Step-by-step explanation:
m + t = 180
6m + 8t = 1240
Answer:
y = 2(x + 3)² - 4
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Using the method of completing the square
y = 2x² + 12x + 14 ← factor out 2 from the first 2 terms
= 2(x² + 6x) + 14
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² + 6x
y = 2(x² + 2(3)x + 9 - 9 ) + 14
= 2(x + 3)² - 18 + 14
= 2(x + 3)² - 4 ← in vertex form
The first answer is 1120,467,654,444,800
the second answer is 17,183,431,198,720