A figure is made from 8 unit blocks. It is 3 units tall. What is the maximum length the figure could be? Explain.
1 answer:
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1) The solution for m² - 5m - 14 = 0 are x=7 and x=-2.
2)The solution for b² - 4b + 4 = 0 is x=2.
<u>Step-by-step explanation</u>:
The general form of quadratic equation is ax²+bx+c = 0
where
- a is the coefficient of x².
- b is the coefficient of x.
- c is the constant term.
<u>To find the roots :</u>
- Sum of the roots = b
- Product of the roots = c
1) The given quadratic equation is m² - 5m - 14 = 0.
From the above equation, it can be determined that b = -5 and c = -14
The roots are -7 and 2.
- Sum of the roots = -7+2 = -5
- Product of the roots = -7
2 = -14
The solution is given by (x-7) (x+2) = 0.
Therefore, the solutions are x=7 and x= -2.
2) The given quadratic equation is b² - 4b + 4 = 0.
From the above equation, it can be determined that b = -4 and c = 4
The roots are -2 and -2.
- Sum of the roots = -2-2 = -4
- Product of the roots = -2
The solution is given by (x-2) (x-2) = 0.
Therefore, the solution is x=2.
Answer:
Step-by-step explanation:
1. The result should by a 2 digit number.
So, I fix a two digit number first, say 60.
Then, I multiplied it by some random integer, say 4 and got 240.
Now, 240 is my dividend and 4 is my divisor.
My division problem is:
2. The result should be a 3 digit number.
So, I fix a three digit number first, say 600.
Then, I multiplied it by some random integer, say 3 and got 1800.
Now, 1800 is my dividend and 3 is my divisor.
My division problem is: