Step-by-step explanation:
length = (2x + 3) units
width = (x - 7) units
Area = 2( length × width)
Area = 2( (2x + 3) × (x - 7) )
Area = 2( 2x² - 14x + 3x - 21)
Area = 2 ( 2x² -11x - 21)
Area = 4x² - 22x - 42
Answer: 0.8313
Step-by-step explanation:
As per given we have,
Also, the distribution of the number of suitcases that get lost each week on a certain route is approximately normal.
Since , 
z-score corresponds to x= 10:
z-score corresponds to x= 20:
P-value = 
Hence, the probability that during a given week the airline will lose between 10 and 20 suitcases = 0.8313
Answer:
Graph the triangle at points (1,5), (1,8), and (6,8)
Step-by-step explanation:
Since the rule is (x,y) -> (y,x), that just means swapping the value of x and y.
The first point (5,1) has 5 for x and 1 for y. If you swap the values, you get 1 for x and 5 for y, or (1,5).
The second point is (8,6). If you swap x and y you get (6,8). Notice I'm not doing the inverse of each number by making them negative, just swapping the twp values.
The third point is (8,1) and if you swap x and y you should get (1,8).
The transformation rule applies to ALL points, otherwise it wouldn't look right and it wouldnt be transforming.
I hope this helps :)
Answer:
in multiplication we just multiply
Step-by-step explanation:
3/7×1/4
3/28
Answer:
angle S 100 option C
Step-by-step explanation:
P and S are consecutive angles
Interior angles of a parallelogram
1. Opposite angles are congruent
2. Consecutive angles are supplementary (They add to 180 )
(2x+20) + (3x+10) = 180
5x+30 = 180
5x = 150
x= 30
angle S 3x30 +10 =
90 +10 = 100
The other angle P 2x30 +20 = 60 +20 = 80
100 +80 = 180
