Answer: options A, B and C are correct
Step-by-step explanation:
Ray's daily pay,P in dollars is given by the function, p(h) = 10h with h representing the number of hours that he worked on that day. If he worked c hours on Thursday and this is 3 hours more than he worked on Friday, then the following statement is true. We substitute c and c-3 for Thursday and Friday into the given function, p(h) = 10h
A) 10c -3 represents Ray's pay in dollars on Friday.
B) 10c represents Ray's pay in dollars on Thursday.
C) p(c ) - p(c-3) represents how much more Ray's pay was on Thursday than on Friday
Answer:
Option C
Step-by-step explanation:
Given that u-ai + bj and v-ci + dj are vectors
We have dot product
hence inner product of u and v. So option a is true
The dot product of u and v is a scalar is true because dot product is always a scalar
The dot product of u and v is a vector. is false because dot product is only a scalar and has no direction and hence cannot be a vector
The dot product of u and v is given by the expression ac+bd
True because we multiply corresponding i components and j components and add.
So only C is not true.
Answer:
,
,
.
Step-by-step explanation:
The magnitude is an absolute value by definition. Hence, each element has the respective value:

Answer: Shortest side = 6 inches, Medium side = 10 inches and Longest side = 11 inches
Step-by-step explanation: The perimeter has been given as 27 inches, and we know that the perimeter of any given figure is the addition of all sides. The sides are unknown yet, but we have clues as follows;
The longest side is 5 inches longer than the shortest side, hence the longest side equals s + 5. The medium side is 4 inches longer than the shortest side, hence the medium side equals s+ 4. Th shortest side remains s.
Therefore with the perimeter given as 27, we now have the expression;
s + s + 4 + s + 5 = 27
3s + 9 = 27
Subtract 9 from both sides of the equation
3s = 18
Divide both sides of the equation by 3
s = 6
Hence, the sides of the triangle are given as 6, (6+ 4) and (6+ 5), which is,
6 inches, 10 inches and 11 inches.
Answer:
1
Step-by-step explanation:
5m + 9n
5(-7) + 9(4)
-35 + 36
1