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:
b. 78$ Just took the test
Step-by-step explanation:
Step 1
find the coordinates of the factory
the <span>factory is 104 miles due north of the warehouse
the coordinates of the warehouse are (39,-52)
coordinates of the factory------> (39,-52+104)------> (39,52)
step 2
find the distance warehouse to airport
let
A coordinates of warehouse-------> A( 39,-52)
B coordinates of airport---------> B(-39,52)
C coordinates of factory-------> C(39,52)
distance AB=</span>√[(52+52)²+(-39-39)²]------> distance AB=130 miles
<span>
step 3
find the distance airport to factory
B(-39,52)
</span>C(39,52)
distance BC=√[(52-52)²+(39+39)²]-----> distance BC=39 miles
<span>the total number of miles=distance AB+distance BC---> 130+39
</span><span>the total number of miles=169 miles
</span>
the answer is
169 miles
Victoria's method is linear because the number of minutes increase by an equal number (15) every month.
Workings in the attachments below. The green line is the function that has been set up for Victoria. The lines that form a curved looking graph belong to the function that was set up for Zach.
