Answer:
Step-by-step explanation:
Given the differential (d/dx)(cos−1(x)), to find the equivalent formula we will differentiate the inverse function using chain rule as shown below;
let;
Therefore;
Since x = cos y from the above substitute;
Hence, gives the required proof
Let us subtract equation 1 from equation 2.
5x - 3y - 2x + 3y = 7 - 4
3x = 3
x = 1
Substituting this value of x in equation 1, we get
2x - 3y = 4
2 - 3y = 4
-3y = 2
y =
Answer:
Distance between the points Q and R is 1 unit while the distance between the points R and S is 3 units
Step-by-step explanation:
Here, we want to use the absolute value of the coordinates to find the distances.
Since we are using absolute values, the negative points becomes positive;
Thus;
Q = (4,2)
R = (3,2)
S = (3,5)
Mathematically, the distance between two points in the Cartesian plane can be calculated using the formula;
D = √(x2-x1)^2 + (y2-y1)^2
The distance QR is thus;
D = √(3-4)^2 + (2-2)^2
D = √(-1)^2 + 0
D = √1 = 1 unit
The distance RS is thus;
D = √(3-3)^2 + (5-2)^2
D = √(0) + (9)
D = √9 = 3 units
So here is how you solve the given problem.
Let x be the original width.
The original length is x + 2.
The new length is (x + 2) + 5 so it is x + 7.
A = L x W
60 = (x + 7) (x)
60 = x2 + 7x
x2 + 7x - 60 = 0
Therefore, x would be equivalent to 5.
Original Area = x (x + 2)
A = 5 (5 + 2)
A = 35 ft.
Therefore, the answer would be 35 feet, the third option. Hope this answer helps.
Just multiply 3 to m, and 3 to 4.
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hope it helps