Answer:

Step-by-step explanation:
we know that
The <u>Least Common Multiple</u> (LCM) of a group of numbers is the smallest number that is a multiple of all the numbers.
we have
15,18 and 25
Decompose the numbers in prime factors



Multiply common and uncommon numbers with their greatest exponent
so
The LCM is equal to


Answer:
Step-by-step explanation:
Area of 19 by 29 rectangle = 551 sq ft
White space:
Area of large triangle = 0.5*15^2 = 112.5 sq ft
Area of 15 by 14 rectangle = 210 sq ft
Area of small triangle = 0.5*4^2 = 8 sq ft
Shaded area = 551 - 112.5 - 210 - 8 = 220.5 sq ft
B. The sun is lighting up different amounts of the moon
Answer:
a.) Between 0.5 and 3 seconds.
Step-by-step explanation:
So I just went ahead and graphed this quadratic on Desmos so you could have an idea of what this looks like. A negative quadratic, and we're trying to find when the graph's y-values are greater than 26.
If you look at the graph, you can easily see that the quadratic crosses y = 26 at x-values 0.5 and 3. And, you can see that the quadratic's graph is actually above y = 26 between these two values, 0.5 and 3.
Because we know that the quadratic's graph models the projectile's motion, we can conclude that the projectile will also be above 26 feet between 0.5 and 3 seconds.
So, the answer is a.) between 0.5 and 3 seconds.
STEP-BY-STEP SOLUTION:
= x^2 - 13x + 30
= x^2 - 10x - 3x + 30
= x ( x - 10 ) - 3 ( x - 10 )
= ( x - 10 ) ( x - 3 )
FINAL ANSWER:
Therefore, the answer is:
C. x - 10
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