Answer:
Step-by-step explanation:
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The given function f(x) = |x + 3| has both an absolute maximum and an absolute minimum.
What do you mean by absolute maximum and minimum ?
A function has largest possible value at an absolute maximum point, whereas its lowest possible value can be found at an absolute minimum point.
It is given that function is f(x) = |x + 3|.
We know that to check if function is absolute minimum or absolute maximum by putting the value of modulus either equal to zero or equal to or less than zero and simplify.
So , if we put |x + 3| = 0 , then :
± x + 3 = 0
±x = -3
So , we can have two values of x which are either -3 or 3.
The value 3 will be absolute maximum and -3 will be absolute minimum.
Therefore , the given function f(x) = |x + 3| has both an absolute maximum and an absolute minimum.
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Answer:
A=1.5 units²
Step-by-step explanation:
a²+b²=c²
2.5²+1.5²=c²
a²+2.25=6.25
a²=4.00
a=2
A=1/2 x b x h
A=1/2 x 1.5 x 2
A=1.5 units²
Answer:
Step-by-step explanation:
Answer:
a is adjacent, b is opposite, c is the hypotenuse
Step-by-step explanation:
see the attached figure to better understand the problem
In the right triangle XYZ we have
The side a and side b are the legs and the side c is the hypotenuse (the greater side)
The side a is the adjacent side to angle Y and is the opposite side to angle X
The side b is the opposite side to angle Y and is the adjacent side to angle X
The side c is the hypotenuse
The sum of the angles X and Y is equal to 90 degrees because are complementary angles
therefore
a is adjacent, b is opposite, c is the hypotenuse
