By just taking a glimpse at the problem, you can immediately mentally determine whether 125 x 0.9 is greater than 125. You are multiplying 125 by a positive number that is greater than 1, therefore the value will increase. This is how anyone can mentally envision 125 x 0.9 to be greater than 125.
Y=6x+5
y (- 2 + 2) = 6x + ( 3 + 2 )
(4m-4)^2
<span>= (4m)^2 - 2.4m.4 + 4^2 </span>
<span>= 16m^2 - 32m + 16</span>
Answer:
m∠K = 37° and n = 31
Step-by-step explanation:
A lot of math is about matching patterns. Here, the two patterns we want to match are different versions of the same Law of Cosines relation:
- a² = b² +c² -2bc·cos(A)
- k² = 31² +53² -2·31·53·cos(37°)
<h3>Comparison</h3>
Comparing the two equations, we note these correspondences:
Comparing these values to the given information, we see that ...
- KN = c = 53 . . . . . . . . . . matching values 53
- NM = a = k . . . . . . . . . . . matching values k
- KM = b = n = 31 . . . . . . . matching values 31
- ∠K = ∠A = 37° . . . . . . . matching side/angle names
Abby apparently knew that ∠K = 37° and n = 31.
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<em>Additional comment</em>
Side and angle naming for the Law of Sines and the Law of Cosines are as follows. The vertices of the triangle are labeled with single upper-case letters. The side opposite is labeled with the same lower-case letter, or with the two vertices at either end.
Vertex and angle K are opposite side k, also called side NM in this triangle.
Answer:
See below.
Step-by-step explanation:
1.
PM as the number or rows not equal to coloumn
2.
1*2 as MN = ( 32 )
( 61 )
3.
= ( 4x2+7x4 4x3+7x8 4x9+7x1)
=(36 68 43)
