Answer:
The mid-segment is 17 cm long.
Step-by-step explanation:
The mid-segment of a trapezoid is the average of the bases (mid-segment of a trapezoid theorem), so we can write an equation:
In this case x represents the length of the mid-segment.
The mid-segment is 17 cm long.
You add 1.7 and 3.1 and that will be the answer to r which is 2.6
Step-by-step explanation:
The interval of increasing for both the given functions f((x) and g(x) is given by : (-∞, 4)
Step-by-step explanation:
The function f(x) = |3x| + 3
Since, The modulus function is always increasing so adding 3 to it also increase over the whole number line.
So, The interval of increasing for the function f(x) : (-∞, +∞)
The function g(x) = -x² + 8x - 5
⇒ g'(x) = -2x + 8
To find critical points : g'(x) = 0
⇒ -2x + 8 = 0
⇒ x = 4
So, Intervals of increasing or decreasing are : (-∞, 4) and (4, +∞)
Now, On checking g(x) is increasing on (-∞, 4) and decreasing on (4, +∞)
Hence, The interval of increasing for both the given functions f((x) and g(x) is given by : (-∞, 4)
Answer:
(x,y)=(-1,-1)
Step-by-step explanation:
hope this helps!
Answer: 45 degrees
Explanation: A right triangle has one angle of 90, so the sum of the other two angles should be also 90 to be 180 degrees.