Answer:
<4,22>.
Step-by-step explanation:
This question involves the concepts of addition and scalar multiplication of vectors. It is given that the vector u = <-4, 1> and v = <-1, 6>. To find -2u, simply multiply -2 with the elements of u. This will give:
-2u = <-4*-2, 1*-2> = <8, -2>.
Similarly:
4v = <-1*4, 6*4> = <-4, 24>.
Hence,
-2u + 4v = <8, -2> + <-4, 24> = <8-4, -2+24> = <4,22>.
So the correct answer is <4,22>!!!
Answer:

Step-by-step explanation:
Given that:
Distance traveled by seal to catch the fish = 15 below sea level
Sea lion wanted to catch a larger fish so sea lion dove 6 feet lesser than two time the distance that the seal traveled.
To find:
The expression to represent the position of the sea lion in the sea.
Solution:
If the distance traveled by seal is represented by
then as per the question statement:
Twice of
= 
6 lesser than twice of
=
- 6
Now, putting the value of
= 15
Therefore, the expression to represent the sea lion's position w.r.to sea level.

Answer:
Step-by-step explanation:
∠VTY is the tangent chord angle
- Tangent chord angle is the half of the intercepted arc
∠TSV is the inscribed angle.
- Inscribed angle is the half of the intercepted arc
<u>Since both of the mentioned angles refer to same arc, they are of same value.</u>
ΔTVS is isosceles as VS = ST, therefore the opposite angles are same.
<u>The measure of angle S</u>
<u>The required angle</u>
Answer:
The graph of the equation is shown in the picture attached below.
We can see w = 12 corresponds to the global maximum of the function, and for any w greater than 12 the value of A(w) decreases.
This means that for any value of the width greater than 12, the function cannot model the situation.
Making the equation only valid for
w ∈ [0,12]
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