Answer:
4v - 7w = (101 , -36)
6u -8v = (-78 , 58)
2u +v - 4w = (40 , -4)
11u + 3w = (-88 , 89).
Step-by-step explanation:
u(-5, 7) ; v(6 , -2) ; w(-11,4)
4v - 7w = (4*6+[-7]*[-11] , 4*[-2] + [-7]*4)
=(24+77 , -6 - 28)
4v - 7w = (101 , -36)
6u - 8v = (6*[-5]+[-8]*6 , 6*7+[-8]*[-2] )
= (-30-48 , 42+16)
6u -8v = (-78 , 58)
2u + v - 4w = (-10+6+44 , 14 -2 -16)
2u +v - 4w = (40 , -4)
11u + 3w = (11*[-5]+3*[-11] , 7*11 +3*4)
= (-55-33 , 77+12)
11u + 3w = (-88 , 89)
Answer: The number of kittens= 500.
Step-by-step explanation:
Given, A random sample of cats at the SPCA shows that 25 out of the 40 cats are kittens.
i.e. ratio of kitten to cats =
We assume that , the ratio will remains same.
Let x be the number of kitten out of 800 , then we have

Hence, the number of kittens out of 800 cats= 500.
Answer:
She sneezed for 138.286 weeks in a row. You need days of week to create a proper conversion.
Step-by-step explanation:
There are 7 days in a week. There are 978 days shown.
You can depict it as this:
978 = 7x; x is the amount of weeks.
Divide both sides by 7
138.285714 = x
Round to three decimals
x = 138.286
Answer:
D
Step-by-step explanation:
Solution:-
The standard sinusoidal waveform defined over the domain [ 0 , 2π ] is given as:
f ( x ) = sin ( w*x ± k ) ± b
Where,
w: The frequency of the cycle
k: The phase difference
b: The vertical shift of center line from origin
We are given that the function completes 2 cycles over the domain of [ 0 , 2π ]. The number of cycles of a sinusoidal wave is given by the frequency parameter ( w ).
We will plug in w = 2. No information is given regarding the phase difference ( k ) and the position of waveform from the origin. So we can set these parameters to zero. k = b = 0.
The resulting sinusoidal waveform can be expressed as:
f ( x ) = sin ( 2x ) ... Answer
9514 1404 393
Answer:
not on the same line
Step-by-step explanation:
Any two distinct points define a line. Additional points may or may not be on that line. If they are on the line, they are collinear with other points on the same line.
Any point not on the line is noncollinear with the points that are on the line.