Step-by-step explanation:
h = height of rectangle (should be "length", but ok)
w = width of rectangle
w = h + 97
the diagonal of the rectangle is the Hypotenuse (baseline) of a right-angled triangle with the legs being one height and one width side of the rectangle.
so, we use Pythagoras
c² = a² + b²
with c being the Hypotenuse (the side opposite of the 90° angle).
diagonal² = h² + (h + 97)² = h² + h² + 2×97h + 97²
113² = 12769 = 2h² + 194h + 9409
3360 = 2h² + 194h
1680 = h² + 97h = (h + 97/2)² - 9409/4
(completing the square)
6720/4 + 9409/4 = (h + 97/2)²
16129/4 = (h + 97/2)²
127/2 = h + 97/2
30/2 = h = 15
the height is 15.0 in
Answer:
watts
Step-by-step explanation:
Based on the given points, the point that is located on the y-axis is (0,7).
<h3>Which point is on the y axis?</h3>
The point that is on the y-axis should have a coordinate such that x is equal to 0.
This leads to the point being on the y-axis because the nonzero coordinate of the y axis would then have to be placed on the same axis.
The only point with a 0 coordinate is (0, 7) so this is the point that is located on the y-axis.
Find out more on points on the y-axis at brainly.com/question/4656315
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Answer:
Increasing on the interval(s) 
Decreasing on the interval(s) 
Step-by-step explanation:
Anytime the graph is going upward, the function is increasing. However, anytime the graph goes down, the function is decreasing. Look at the image below for further reference. Also, when the function is increasing, the slope is positive, and when the function is decreasing the slope is negative.
The increasing interval of the graph is -3
The decreasing interval of the graph is 0.5
Since the values are in the middle of the interval, it automatically becomes the answer.
