Answer:
The correct option is A.
Step-by-step explanation:
From the given table it is noticed that the line is passing through the points (-1,1), (1,2), (3,3), (5,4) and (7,5).
Slope of a line is calculated as
Choose any two pair of coordinates from the given points.
Let the line is passing through (5,4) and (7,5).
Therefore the slope of line is 
and option A is correct.
The magnitude can be found by using the PythaGORAS THEOREM:-
PQ = √[ (-3 - (-5))^2 + (4 - 2)^2 ]
Answer:
Your question is unclear as to which product you're looking for, the dot product or the cross product, so I'll answer for both.
The i and j notations for vectors refer to their coordinates, e.g. a vector that is 2i+3j is one that moves 2 units in the x-direction and 3 units in the y-direction. This can also be notated as (2, 3), and that's the notation I'll be using in this answer to keep things simple.
In order to get either product, we have to do the subtraction in parentheses first:3v - 4w = 3 * (2, -2) - 4 * (0, -2). When multiplying a vector by a scalar number, you just multiply the coordinates by the scalar, so this becomes (6, -6) - (0, -8). Performing this subtraction by subtracting corresponding coordinates, we get 3v - 4w) = (6, 2). Also, 5u = 5 * (-3, 2) = (-15, 10).
Now, the dot product of two vectors is a scalar quantity. The dot product of the two vectors (-15, 10) • (6, 2) is the sum of the products of the corresponding coordinates. This is -15 * 6 + 10 * 2, which is -90 + 20, and that is -70.
Step-by-step explanation:
Answer:
<h2><u><em>
90°</em></u></h2>
(the figure is poorly drawn)
Step-by-step explanation:
- the sum of the interior angles in a triangle is 180°
- 120 ° and y are in a straight line, so 120° + y = 180 °
find y
180 - 120 = 60°
find x
180 - 60 - 30 = <u><em>90°</em></u>
The formula to find the final amount A, compounded yearly for x year at r% when p is the initial amount :
Given that, $1000 is deposited into an account that earns 5% interest.
So, p = 1000 and r =5% = 5/100= 0.05.
Next step is to plug in these values in the above equation to get the equation.
Hence,
=
So, the correct choice is C) y=1000(1.05)^x.
Hope this helps you!
