Answer:
As such, in first quadrant, both the coordinates (x and y) are positive and both are negative in third quadrant. In second quadrant, y is positive and x is negative, while in fourth quadrant x is positive and y is negative, As (-4, -2) has both x and y coordinates negative, it will be found in third quadrant
Step-by-step explanation:
Distance formula is SquareRoot of (x2-x1)^2 + (y2-y1)^2
= SQRT( (8-0)^2 + (-8-7)^2 )
=SQRT(64 +225)
=SQRT(289)
= 17
Answer:
0.61
Step-by-step explanation:
The computation of the probability of the working of the system is shown below:
But before that first we have to find out the total probability of sub-system i.e 2,3 and 4 i.e

= 0.48
Now the working of the system probability is
= 1 - [(1 - probability of component 1) × (1 - sub system probability)]
= 1 - [(1 - 0.75) × (1 - 0.48)]
= 1 - 0.39
= 0.61
Please find the attachment for better understanding.

Regardless of the sign of

, we have

(never negative). But multiplying by -1 makes it negative.
On the other hand,

which can never be negative for real

.
Answer:
g(x) = x² + 5x + 2
Step-by-step explanation:
If a function is f(x) = x²
And this function is shifted 4 units left then the rule to be followed is,
g(x) = f(x + 4)
Following the same rule,
For a function f(x) = x² - 3x - 2 when shifted 4 units to the left,
g(x) = f(x + 4)
g(x) = (x + 4)² - 3(x + 4) - 2
= x² + 8x + 16 - 3x - 12 - 2
= x² + 5x + 2
Therefore, g(x) = x² + 5x + 2 will be the transformed function.