Answer:
x = √2
Step-by-step explanation:
Here, we want to get the value of x
As we can see, what we have is a right triangle
x faces the angle 30 which makes it the opposite to that angle
the root of 6 is the adjacent to the angle 30
Mathematically, the ratio of the opposite to the adjacent is the tan
Thus;
Tan 30 = x/√6
Tan 30 = 1/√6
1/√3 = x/√6
x = √6/√3
x = √(6/3)
x = √2
Answer:
2
Step-by-step explanation:
3 x 2 = 6
f(x) = (x - 
)² - 
the equation of a quadratic in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
given a quadratic in standard form : y = ax² + bx + c ( a ≠ 0 )
then the x- coordinate of the vertex is
= - 
f(x) = x² - 11x + 9 is in standard form
with a = 1, b = - 11 and c = 9
= - 
=
substitute this value into the equation for y- coordinate
y = ()² - 11() + 9
= 
- 
+ 
= -
f(x) = (x - )² - ← in vertex form
Answer:
g =1.356207187
Step-by-step explanation:
7^g =14
Take the log on both sides
log (7^g) = log 14
We know that log a^b = b log a
g log 7 = log 14
Divide each side by log 7
g log 7 /log 7 = log 14 / log 7
g = log 14 / log 7
g =1.356207187
9514 1404 393
Answer:
x = 40
Step-by-step explanation:
The angle bisector divides corresponding sides proportionally.
x/16 = 25/10
x = 16(25/10) . . . . . multiply by 16
x = 40
