First we will convert those radian angles to degrees, since my mind works better with degrees. Let's work one at a time. First,
. If we start at the positive x-axis and measure out 315 we end up in the 4th quadrant with a reference angle of 45 with the positive x-axis. The side across from the reference angle is -1, the side adjacent to the angle is 1, and the hypotenuse is sqrt2. The cotangent of this angle, then is 1/-1 which is -1. As for the second one, converting radians to degrees gives us that
. Sweeping out that angle has us going around the origin more than once and ending up in the first quadrant with a reference angle of 30° with the positive x-axis. The side across from the angle is 1, the side adjacent to the angle is √3, and the hypotenuse is 2. Therefore, the secant of that angle is 2/√3.
Answer: 35 square centimeters
Step-by-step explanation:
The transformations are vertical translation 7 units up.horizontal translation 3 units to the left
We have given that the equations
let f(x)=x^2 and g(x)=(x-3)^2+7
We have to determine the correct transformation,
<h3>What is the vertical translation?</h3>
Vertically translating a graph is equivalent to shifting the base graph up or down in the direction of the y-axis. A graph is translated to k units vertically by moving each point on the graph k units vertically.
Notice that the addition of 2 units to the variable x in the exponent involves a horizontal shift to the left in 2 units.
Notice as well that subtraction of 4 units to the functional expression involves a vertical shift downwards in 4 units.
To learn more about the transformation visit:
brainly.com/question/2689696
#SPJ1
Answer:
-1
Step-by-step explanation:
If i = √-1, then i^2 = -1.
Answer:
You are given the width of the garden which is w= 8 feet
length of the garden which l= 6 feet
the width of the walkway is x
so for every side of the garden there is an x
so length overall would be 8+2x (length of garden + x one side + x other side)
and width overall would be 6 + 2x (width of garden + x of one side + x of other side)
area of rectangle is length*width
so the expression would be (8+2x)*(6+2x)
:))) smile....
I hope it is correct.
Step-by-step explanation:
