Answer: hypotenuse = 
Step-by-step explanation: Pythagorean theorem states that square of hypotenuse (h) equals the sum of squares of each side (
) of the right triangle, .i.e.:

In this question:
= 
2bc
Substituing and taking square root to find hypotenuse:

Calculating:


=
, then:


Hypotenuse for the right-angled triangle is
units
Answer:
The slope is
$0.1774 / pounds
Step-by-step explanation:
From the question we are told that
The weight of the rat is 
The cost of feeding the rat per week is
$4.50
The weight of a Beagle is 
The cost of feed a Beagle per week is
$9.20
Now the slope can be evaluated mathematically as

substituting values

$0.1774 / pounds
Y=sqrt(3x+4)
3x+4 must be positive
3x+4>=0
Solving for x:
3x+4-4>=0-4
3x>=-4
3x/3>=(-4)/3
x>=-(4/3)
Domain of the function = [-(4/3), +Infinite)
Absolute value is simply the non-negative version of the number regardless of its symbol
So for the absolute value of 20? the answer is just 20.
For reference, the absolute value of -20 is also just 20.
Hope the explanation helps :)
Answer:
The correct option is - D.
Step-by-step explanation:
To find - Select the correct answer. The parent tangent function is transformed such that its period is halved. Which graph could represent the transformed function?
Solution -
We know that,
The parent tangent function is -
f(x) = tan(x)
Period of Parent function = 
Now,
If Period is half,
Then
The function is transformed to
f(x) = tan(2x)
So,
The graph becomes
The correct option is - D.