Absolute value of any number is always positive because it represent distance and distance will always positive.
To place chimney at least 30 feet , the distance along the width of the roof (x) will be x = 17.5 feet or x = 2.5 feet.
Since, The height of the roof is described by the function f(x)=−4/3|x−10| + 40
Since, minimum height is 30 feet.
So , substitute f(x)=30 in above expression.
30=−4/3|x−10| + 40
4/3|x−10| = 10
|x−10|=30/4
|x−10| = 7.5
Taking positive case,
x−10 = 7.5
x = 17.5 feet
Taking negative case,
x−10 = - 7.5
x = 10 - 7.5
x = 2.5 feet
Learn more:
brainly.com/question/14473339
(1,-3)(3,-5)
slope = (-5 - (-3) / (3 - 1) = (-5 + 3) / 2 = -2/2 = -1 <==
<h2>
Explanation:</h2><h2>
</h2>
Hello! Remember you have to write complete questions in order to get good and exact answers. Here you haven't provided any figure, so I'll assume m∠1 and m∠2 are complementary angles. Angles that add up to 90° are called complementary angles. In this case, we know m∠1 and want to know m∠2. Thus, we can establish the following formula:
m∠1 + m∠2 = 90°
Isolating m∠2:
m∠2 = 90° - m∠1
m∠2 = 90° - 64
m∠2 = 26°
Explanation:
To answer a question like this, refer to the definitions of the functions:
(f-g)(200) is ...
... the difference between the amount of money a cell phone screen is being sold for and the cost of production, when 200 screens are being manufactured.
__
The numerical value of (f-g)(200) is ...
f(200) -g(200) = (3·200 +5000) -(20·200 -400) = 5600 -3600
(f-g)(200) = 2000
