Answer:
f(x) = sec x. tan x
⇔ f(x) = 1/cosx . cosx/sinx
⇔ f(x) = sin x
+) when f(x) is increasing => sin x increases
=> x will increase
+) f(x) is decreasing => x will decrease
+) f(x) is concave up => x ∈ (-pi/2; 0)
+) f(x) concave down => x ∈ (0; pi/2)
Step-by-step explanation:
![5 \sqrt{18} - \sqrt{32} \\= 5 \sqrt{9 \times 2} - \sqrt{4 \times 4 \times 2} \\ = 5 \times 3 \times \sqrt{2} - 2 \times 2 \times \sqrt{2} \\ = 15 \sqrt{2} - 4 \sqrt{2} \\ = \boxed{11 \sqrt{2} }](https://tex.z-dn.net/?f=5%20%5Csqrt%7B18%7D%20%20-%20%20%5Csqrt%7B32%7D%20%20%5C%5C%3D%205%20%5Csqrt%7B9%20%5Ctimes%202%7D%20%20-%20%20%5Csqrt%7B4%20%5Ctimes%204%20%5Ctimes%202%7D%20%5C%5C%20%20%3D%205%20%5Ctimes%203%20%5Ctimes%20%20%5Csqrt%7B2%7D%20%20%20%20-%202%20%5Ctimes%202%20%5Ctimes%20%20%5Csqrt%7B2%7D%20%20%5C%5C%20%20%3D%2015%20%5Csqrt%7B2%7D%20%20-%204%20%5Csqrt%7B2%7D%20%5C%5C%20%20%3D%20%20%5Cboxed%7B11%20%5Csqrt%7B2%7D%20%7D)
<h3>11√2 is the right answer.</h3>
Answer:
x = 5, y =2
Step-by-step explanation:
I guess the question is saying x+y = 7 and 3x-2y = 11?
then there are multiple ways but
I will multiply the first one by 2 so 2x+2y = 14
you add the equations to get 5x = 25 so x = 5 plug x into the first equation you get y = 2
if that isn't what the question means just comment and I'll change it
The answer is A. (42)
WORKINGS
Since Q is equidistant from the sides of ∠TSR,
∠TSQ = ∠QSR
m∠TSQ = 4x + 5
m∠QSR = 8x – 11
Therefore, 4x + 5 = 8x – 11
Solving for x
4x + 5 = 8x – 11
Add 11 to both sides of the equation
4x + 5 + 11 = 8x – 11
+ 11
4x + 16 = 8x
Subtract 4x from both sides of the equation
4x + 16 – 4x = 8x – 4x
16 = 4x
4x = 16
x = 16/4
x = 4
∠RST is the same as ∠TSR
m∠RST = ∠TSQ + ∠QSR
m∠RST = 4x + 5 + 8x – 11
m∠RST = 12x – 6
m∠RST = (12 x 4) – 6
m∠RST = 48 – 6
m∠RST = 42 degrees
Answer:
50
Step-by-step explanation: