Answer:
m∠ACD = 40°
Step-by-step explanation:
(4x + 2) + (6x - 12) = 8x,
10x - 10 = 8x,
2x = 10,
x = 5
8(5) = 40°
ANSWER
A (-∞,-2)
B (0,4).
EXPLANATION
The portion of the graph that is above the x-axis is considered positive.
From the graph the curve is above the x-axis on the interval
(-∞,-2) and (0,4).
The first and second options are correct.
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.
1 pound = 16 ounces so let's go ahead and convert 11 pounds to ounces by multiplying by 16. 11×16=176 and then add 13 to that 176+13=189
so 12 pounds and 13 ounces= 189 ounces
<span>l 18+7 l / 10 - l -16+26 l /6
= 25 / 10 - 10/6
= 5/2 - 5/3
= 15/6 - 10/6
= 5/6
answer </span><span>5/6 (3rd choice)</span>