sec 180 + sin 270 - tan 180 + cot 270
-1+-1 -0 +0
= -2
Let us assume the width of the rectangle = x meters
Then
Length of the rectangle = 2x + 2
Perimeter of the rectangle = 16 meters
Then
Perimeter = 2 (Length + width)
16 = 2(2x + 2 + x)
16 = 2(3x + 2)
16 = 6x + 4
6x = 16 - 4
6x = 12
x = 2
Then
Length of the side of the rectangle = 2x + 2
= (2 * 2) + 2
= 6
I hope that the procedure is clear enough for you to understand and this is the answer that you were looking for.
Answer:
The answer is option 4.
Step-by-step explanation:
You have to use Indices Law,
![{a}^{m} \times {a}^{n} = {a}^{m + n}](https://tex.z-dn.net/?f=%20%7Ba%7D%5E%7Bm%7D%20%20%5Ctimes%20%20%7Ba%7D%5E%7Bn%7D%20%20%3D%20%20%7Ba%7D%5E%7Bm%20%2B%20n%7D%20)
![{a}^{ - n} = \frac{1}{ {a}^{n} }](https://tex.z-dn.net/?f=%20%7Ba%7D%5E%7B%20-%20n%7D%20%20%3D%20%20%5Cfrac%7B1%7D%7B%20%7Ba%7D%5E%7Bn%7D%20%7D%20)
So for this question :
![{2}^{ - 4} \times {2}^{2}](https://tex.z-dn.net/?f=%20%7B2%7D%5E%7B%20-%204%7D%20%20%5Ctimes%20%20%7B2%7D%5E%7B2%7D%20)
![= {2}^{ - 4 + 2}](https://tex.z-dn.net/?f=%20%3D%20%20%7B2%7D%5E%7B%20-%204%20%2B%202%7D%20)
![= {2}^{ - 2}](https://tex.z-dn.net/?f=%20%3D%20%20%7B2%7D%5E%7B%20-%202%7D%20)
![{a}^{b} = c \\ c = {2}^{ - 2}](https://tex.z-dn.net/?f=%20%7Ba%7D%5E%7Bb%7D%20%20%3D%20c%20%5C%5C%20c%20%3D%20%20%7B2%7D%5E%7B%20-%202%7D%20)
![c = \frac{1}{ {2}^{2} }](https://tex.z-dn.net/?f=c%20%3D%20%20%5Cfrac%7B1%7D%7B%20%7B2%7D%5E%7B2%7D%20%7D%20)
![c = \frac{1}{4}](https://tex.z-dn.net/?f=c%20%3D%20%20%5Cfrac%7B1%7D%7B4%7D%20)
Answer:
![(x + 3)^2 + (y - 5)^2 = 5^2](https://tex.z-dn.net/?f=%28x%20%2B%203%29%5E2%20%2B%20%28y%20-%205%29%5E2%20%3D%205%5E2)
Step-by-step explanation:
Well, the center origin of the circle is given (h,k) = (-3,5).
Point on the circle is (x,y) = (1,8)
We have to find our radius as they gave us a point. from origin to the edge of the circle.
Using the formula: (x - h)^2 + (y - k)^2 = r^2
Plug in our (h,k) = (-3,5) and (x,y) = (1,8) to solve for radius.
(x - h)^2 + (y - k)^2 = r^2
(1 - (-3))^2 + (8 - (5))^2 = r^2
(4)^2 + (3)^2 = r^2
16 + 9 = r^2
r^2 = 25
r = 5
Y intercept is -3 because the linear equations is y = m(x) + b. m = slope and b = y intercept