9514 1404 393
Answer:
Step-by-step explanation:
This sort of pattern is used in the factoring of trinomials. Typically, the top quadrant holds the product you're trying to factor. The bottom quadrant holds the sum of the factors. The factors appear on the left and right in no particular order.
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1) You're looking for factors of -24 that have a sum of -5. It can be useful to simply list the factor pairs. Since you want a negative sum, you may want to start with the most negative factors and work up from there.
-24 = (-24)(1) = (-12)(2) = (-8)(3) = (-6)(4)
The sums of these factor pairs are -23, -10, -5, -2. Obviously, the pair we're interested in is the one with a sum of -5: (-8) +(3).
So, the left- and right-quadrants are filled with -8 and 3.
Blank 1 = -8
Blank 2 = 3
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2) You are given the factors, so all you need to do is form the product and sum.
Blank 1 = (-3)(-2) = 6
Blank 2 = (-3) +(-2) = -5
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<em>Additional comment</em>
Any sort of factoring is much easier to do if you have memorized your multiplication tables, preferably through 12×12. It is also helpful if you're familiar with divisibility rules—at least for single-digit numbers. I've seen college students struggle trying to do factoring using a calculator. It's not pretty. Many folks learn their times tables up to 10×10 by the end of 3rd grade.
Answer:
Part 1) Greta's right, the triangle is incorrect.
Part 2) 
Part 3) The height of the tree is 
, Trey’s house is not at risk
Step-by-step explanation:
Part 1) we know that
In the right triangle of the figure
Compare
therefore
The triangle is not correct
Because
The side adjacent to the 30 degree angle should be 
and the side opposite the 30 degree angle should be 
Part 2)
Let
x--------> the distance from the airplane to the SCCA (hypotenuse of the right triangle)
we know that
Part 3)
Let
x--------> the height of the tree
we know that
therefore
Trey’s house is not at risk
Answer:
0.1 is rational as it can be written as 
Step-by-step explanation:
Rational decimals can be expressed as a fraction using integers, and 0.1 = , so it is rational.
Answer:
$64.93
Step-by-step explanation:
All you have to do is multiply the amount of money by the percent (in this case, the decimal of 0.2):
324.65*0.2 = 64.93
