Answer:
135°
Step-by-step explanation:
formula = (n-2) * 180, whereby 'n' is the number of sides.
therefore, (8-2) * 180 = 1080°
1080° ÷ number of sides
= 1080° ÷ 8
= 135°
To find the area of a rectangle, you times the length and width together.
So in this case,
5/8 x 2/3 = 10/24.
This can be simplified to 5/12
PQR is most likely a triangle
Answer:
The first statement is true.
Step-by-step explanation:
The function is f(x) = - (x + 6)(x + 2)
⇒ f(x) = - x² - 8x - 12
Now, condition for a function f(x) to be increasing at x = a is f'(a) > 0.
Now, f(x) = - x² - 8x - 12
⇒ f'(x) = -2x - 8 {Differentiating with respect to x}
Now, f'(a) = -2a - 8 {Here a can be any real value}
And, the condition for increasing function at x = a is
- 2a - 8 > 0
⇒ - 2a > 8
⇒ a < - 4
Therefore, the first statement is true i.e. the function is increasing for all real values of x where x < – 4. (Answer)
