Answer:
x = 2
Step-by-step explanation:
The product of distances from the intersection of secants to the near and far intersections with the circle are the same. For a tangent, the near and far points of intersection with the circle are the same. This relation tells us ...
(2√3)(2√3) = x(x +4)
12 = x² +4x
16 = x² +4x +4 . . . . . add the square of half the x-coefficient to complete the square
4² = (x +2)² . . . . . . . . write as squares
4 = x +2 . . . . . . . . . . positive square root
2 = x . . . . . . . . . . . . . subtract 2
_____
<em>Alternate solution</em>
If you believe x to be an integer, you can look for factors of 12 that differ by 4.
12 = 1×12 = 2×6 = 3×4
The factors 2 and 6 differ by 4, so x=2 and x+4=6.
First of all we can draw a parallel line to divide the figure into a triangle and a rectangle as shown in the figure. To find the area of our rectangle, remember that the area of a rectangle is length times width, so
. Since we know for our figure that the length and width of our rectangle are 13cm and 6cm respectively, lets replace those values in our formula to get its area:
Similarly, the area of a triangle is one half times base times height, so
. Since we know that our base is 8cm and our height 6cm, lets replace those values in our equation to find the area of our triangle:
Now the only thing left is add our areas:
We can conclude that the correct answer is <span>
A. 102</span>
Answer:
y = 8 or y = 0
Step-by-step explanation:
Solve for y over the real numbers:
y^2 - 8 y = 0
Factor y from the left hand side:
y (y - 8) = 0
Split into two equations:
y - 8 = 0 or y = 0
Add 8 to both sides:
Answer: y = 8 or y = 0
Answer:
A
Step-by-step explanation:
because there variables represent 1 so 1 cant be bigger than one and the other two have real equations
Answer:
9.89 m
Step-by-step explanation:
AC is the hypotenuse (H)
x is the opposite (O)
O and H are in sine
sin=O/H
H=O/sin
H=7.9/sin(53)
=9.89187169943418
3 SF
9.89 m