Least common multiple: factor them, then see what they have in common and what is leftover and multiply those expressions:
(x - 2)(x + 3) 10(x + 3)(x + 3)
Common: (x + 3)
Leftover: (x - 2), (10), (x + 3)
Common · Leftover is: (x + 3) · (x - 2) · (10) · (x + 3) = 10(x - 2)(x + 3)²
Answer: LCM is 10(x - 2)(x + 3)²
Answer:
7 units
Step-by-step explanation:
The formula for a circle is:
, where (x_1, y_1) is the center of the circle and r is the radius.
Right now, we see that r^2 = 49, so to find r, we square root 49 and get 7.
Thus, the answer is 7 units.
Hope this helps!
Answer:
25% increase
Step-by-step explanation:
length is 24 inches after the increase and width is 33 inches (i did length as up and down and width as side to side, that's how I always do it but I might be wrong let me know and I can fix it)
the area before it gets increased it 600
after the increase its 792
and 600 is 75.75% of 792
so it would be 25.25% increase
sorry this was so long hope this helps
Step-by-step explanation:
such a scale factor applies to all sides and lines.
we see that DE is 12 units, and AB is 4 units.
so,
12×f = 4
f = 4/12 = 1/3 is the scale factor
control : check the other side
FE = 6 units
6 × 1/3 = 2
so, the corresponding side in the small triangle must be 2 units long.
and indeed, CB is 2 units long. all correct.