Given that r = ( 7, 3, 9) and v = ( 3, 7, -9), evaluate r + va. (-21,-21,81)
b. (10,10,0)
c. (21,21,-81)
d. (-10,-10,0)
Answers
Answer:
b. (10,10,0)
Step-by-step explanation:
r+v can be evaluated if the vectors/matrices have the same dimensions.
These do. They are both 1 by 3 vectors.
Just add first to first in each.
Just add second to second in each.
Just add third to third in each.
Example:
(5,-5,6)+(1,2,3)
=(5+1,-5+2,6+3)
=(6,-3,9)
Done!
In general, (a,b,c)+(r,s,t)=(a+r,b+s,c+t).
r+v
=(7,3,9)+(3,7,-9)
=(7+3,3+7,9+-9)
=(10,10,0)
Done!
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Answers
Answer:
Sin A = 22/33.3 ≈ 0.7
Step-by-step explanation:
Sin A = opp/hyp
Opp = 22
Adj = 25
Apply pythagorean theorem to find the hypotenuse length.
Thus:
Hyp = √(25² + 22²) ≈ 33.3
Therefore,
Sin A = 22/33.3 ≈ 0.7 (nearest tenth)
Answers
The inequality that represents this scenario is:
The complete question describes the use of word problems to represent inequalities. The $21 means that there is a limit to the number of stops she can take using the train.
From the complete question, we have the following parameters:
Initial Fee = $5
Rate per stop = $2.75
Amount = $21
The inequality that represents the scenario is calculated using:
Initial Fee + Rate * Number of stops <= Amount
We use <= because the total charges must not exceed the amount.
Let the number of stops be x.
The above formula becomes
Hence, the inequality that represents this scenario is:
Read more at:
Answer:
a and 5
Step-by-step explanation:
Answers
Answer:
y=6x-8
Step-by-step explanation:
10-4/3-2
m=6/1
y=mx+b
y=6x+b
4=6(2)+b
4=12+b
-8=b
y=6x-8
Answers
Answer:
She would use 136 yards in 4 skirts, 238 yards in 7 skirts, and 306 yards in 9 skirts. Hope this helps
Step-by-step explanation:
A. dL/dt = kL
B. dL/dt = 100 - kL
C. dL/dt = k(100 - L)
D. dL/dt = kL - 100
Answers
Answer:
C. dL/dt = k(100 - L)
Step-by-step explanation:
We have a list containing 100 words.
L = number of words memorized at time t.
At any time t, the number of words left to be memorized is 100-L.
Therefore:
The correct option is C.
by a comma.
5x2 + 2x - 7 = 0
Answers
Answer:
it equals 1
Step-by-step explanation:
(5)(2)+2x−7=5
Step 1: Simplify both sides of the equation.
(5)(2)+2x−7=5
10+2x+−7=5
(2x)+(10+−7)=5(Combine Like Terms)
2x+3=5
2x+3=5
Step 2: Subtract 3 from both sides.
2x+3−3=5−3
2x=2
Step 3: Divide both sides by 2.
2x
2
=
2
2
x=1