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:
true
Step-by-step explanation:
9514 1404 393
Answer:
25/42 mi
Step-by-step explanation:
5/6 of 5/7 of a mile is ...
(5/6)(5/7 mi) = 25/42 mi
I assume you know about the dot product, and that for two vectors 
and 
, the angle between them 
satisfies
Then the vectors are parallel if the angle between them is 0 or 180 degrees (0 or pi radians), which would make 
or 
, respectively.
Part A)
Then the angle between 
is such that
so these vectors are parallel ("antiparallel", more specifically, which means they are parallel but point in opposite directions).
Part B) involves the same computations:
has the same components but differing by sign and order, as 
; its magnitude remains the same, though:
which is neither 0 nor pi, which means these vectors are not parallel.
Answer:
128.67 feet
Step-by-step explanation:
We would be solving this question using the Trigonometric function of tan.
Tan( of the angle of elevation) = height of the tower ÷ height of the shadow.
Angle of elevation = 65°
Height of the tower = unknown, which is designated as X
Height of the shadow = 60 feet.
Therefore,
tan 65° = X/ 60 feet
We crossmultiply
X = tan 65° × 60 feet
X = 128.67041523 feet.
Approximately, X = 128.67 feet.
Therefore, the tower is 128.67 feet tall.
