First we have to find the decimal equivalent by dividing.
5 / 8 = 0.625
It can't be an Integer because decimals can't be intergers, so that's ruled out
It can't be repeating as it does end, so that's also ruled out
Since the decimal does end it can't be non-terminating, non-repeating
So the answer is Terminating Decimal by process of elimination
The rate of change of the size of the diagonal is; 25.2 ft/s
By Pythagoras theorem;
The length, l of a diagonal of a rectangle whose sides have lengths x and y is;
In essence; the length of the diagonal is dependent on the length, x and y of the sides.
Therefore;
(dl/dt)² = (dx/dt)² + (dy/dt)²
where;
- (dx/dt) = 19 ft/s
- (dy/dt) = -15 ft/s
Therefore,
(dl/dt)² = 19² + (-15)²
(dl/dt)² = 361 + 225
dl/dt = √586
dl/dt = 25.2
Therefore, the size of the diagonal is changing at a rate of; 25.2 ft/s.
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Answer: The correct option is c.
Explanation:
Reason for correct option:
This expression cannot be factored further because 
is the complete factor. Therefore the option c is correct.
Reason for incorrect option:
Since the given expression can be factored further therefore the option d is incorrect.
Since the given expression can be factored further. Therefore the option a is incorrect.
Since the given expression can be factored further. Therefore the option b is incorrect.
Answer:
{ 6, 9, 16, 18 }
Step-by-step explanation:
To find the range substitute the values of x from the domain into the equation for y, that is
x = - 3 : y = - 3 + 9 = 6
x = 0 : y = 0 + 9 = 9
x = 7 : y = 7 + 9 = 16
x = 9 : y = 9 + 9 = 18
The y values are the range of the relation, that is
y ∈ { 6, 9, 16, 18 }
Answer:
M= -3
B=6
Step-by-step explanation:
6-0=6
0-2=-2
=3
