Step 1 involves you listing out all the ways to multiply to 56, and then adding up those factors. For instance, the first row has 1 and 56 which add to 57 in the third column. The second row has -1 + (-56) = -57. The third row has 2+28 = 30. And so on. The idea is to fill out the table completely with the other ways to have factors of 56 added up. The table is shown in the attached image below.
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Step 2 then uses the table to figure out which pair of factors (of 56) add to -15. This would be -7 and -8. In other words,
-7 plus -8 = -15
-7 times -8 = 56
We have found the right pair of numbers. In the table I have provided, this is shown as the highlighted yellow row.
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Step 3 is then using those pair of numbers found in step 2 to set up the factorization. We would say that x^2-15x+56 factors to (x-7)(x-8). This is the same as (x-8)(x-7) as we can multiply two numbers in any order we want.
Answer: it nearest 25 and 26:)
Step-by-step explanation:
Answer:
4.8 x 10^9
Step-by-step explanation:
E9 is 10 raised to the power of 9
Scientific notation requires you to write a number from 1 to 10 then multiply it by 10 raised to a number x.
In this case:
4.8E9 = 4,800,000,000
Number between 1 and 10 = 4.8
Number of zeroes = 8 but because you have to multiply 4.8 times 10 to get 48 the answer is 4.8 x 10^9... so one extra 10... 1+8=9
Hope you understand
Answer: B. 2,448π units³
Step-by-step explanation:
We will use the formula for the volume of a cylinder to solve.
(<em>The formula, put simplify, finds the area of the base circle and multiples by the height.</em>)
V = πr²h
V = π(12)²(17)
V = (144)(17)π
V = 2,448π
The volume is 2,448π units³ which is option B for your problem.
A) <span>Scale factor of the smaller pyramid to the larger pyramid in simplest form:
</span>6 m / 12 m = 1/2
b) <span>Ratio of the areas of the bases of the smaller pyramid to the larger pyramid:
</span><span>(1/2)^2 = 1/4 </span>
c) <span>Ratio of the volume of the smaller pyramid to the larger:
</span><span>(1/2)^3 = 1/8 </span>
d) <span>Volume of the smaller pyramid:
</span>(1/8) * 400 m^3 = 50 m^3