Answer:
C
Step-by-step explanation:
The numerator being bigger would make it an improper fraction, making it larger than one.
Step-by-step explanation:
I'll do the first one as an example.
"What are the coordinates of the point on the directed line segment from K(-5,-4) to L(5,1) that partitions the segment into a ratio of 3 to 2?"
Let's call the point we're trying to find P. Ratio of 3 to 2 means that the distance from K to P divided by the distance from P to L is 3/2.
KP / PL = 3 / 2
Which also means the horizontal distances and vertical distances between the points have a ratio of 3:2.
KxPx / PxLx = 3 / 2
KyPy / PyLy = 3 / 2
First, let's use the x coordinates:
(x − (-5)) / (5 − x) = 3 / 2
(x + 5) / (5 − x) = 3 / 2
2 (x + 5) = 3 (5 − x)
2x + 10 = 15 − 3x
5x = 5
x = 1
And now with the y coordinates:
(y − (-4)) / (1 − y) = 3 / 2
(y + 4) / (1 − y) = 3 / 2
2 (y + 4) = 3 (1 − y)
2y + 8 = 3 − 3y
5y = -5
y = -1
So the point P is at (1,-1).
Answer:
a) Sinusoidal functions are y = a sin [b(x-h)] + k (or)
y = a cos [b(x-h)] + k
Where a is amplitude a= (max-min)/2=(16-2)/2=7
period p= 2π/b
b=2π/30
Horizontal transformation to 10 units right h=10
k= (max+min)/2=(16+2)/2=9
h = 7 cos [π/15(t-10)]+ 9
b) t=10min=600 sec
substitue in the above equation
h=5.5m
Answer:
Using the table, give the percentage associated with each unit of standard deviation in the standard normal curve to the
nearest hundredth.
х
Area, A(x) x
Area, A(x)
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
1.8
2.0
0.0793
0.1554
0.2257
0.2881
0.3413
0.3849
0.4192
0.4452
0.4641
0.4772
2.2
2.4
2.6
2.8
3.0
3.2
3.4
3.6
3.8
4.0
0.4861
0.4918
0.4953
0.4974
0.4987
0.4993
0.4997
0.4998
0.4999
0.5000
Standard Deviation Percentage Area
-1 to 0
81.85 %
O to +1
34.13 %
Step-by-step explanation:
Using the table, give the percentage associated with each unit of standard deviation in the standard normal curve to the
nearest hundredth.
х
Area, A(x) x
Area, A(x)
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
1.8
2.0
0.0793
0.1554
0.2257
0.2881
0.3413
0.3849
0.4192
0.4452
0.4641
0.4772
2.2
2.4
2.6
2.8
3.0
3.2
3.4
3.6
3.8
4.0
0.4861
0.4918
0.4953
0.4974
0.4987
0.4993
0.4997
0.4998
0.4999
0.5000
Standard Deviation Percentage Area
-1 to 0
81.85 %
O to +1
34.13 %
Using the table, give the percentage associated with each unit of standard deviation in the standard normal curve to the
nearest hundredth.
х
Area, A(x) x
Area, A(x)
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
1.8
2.0
0.0793
0.1554
0.2257
0.2881
0.3413
0.3849
0.4192
0.4452
0.4641
0.4772
2.2
2.4
2.6
2.8
3.0
3.2
3.4
3.6
3.8
4.0
0.4861
0.4918
0.4953
0.4974
0.4987
0.4993
0.4997
0.4998
0.4999
0.5000
Standard Deviation Percentage Area
-1 to 0
81.85 %
O to +1
34.13 %
Answer:
-3x-6
Step-by-step explanation:
you add the two expressions together with their lile terms. i hope this is what you are looking for
