150? I think thats the anwser
Answer:
(f- g)(x) = x - 3
Step-by-step explanation:
(f- g)(x) = f(x) - g(x)
This means that you have to subtract the two equation.
If f(x) = 3x - 2 and g(x) = 2x + 1
Then
f(x) - g(x) = [3x - 2] - [2x+1]
= 3x - 2- 2x - 1
= x - 3
∴ (f- g)(x) = x - 3
The equation of the line through the point (8,−9) and perpendicular to 3x+8y=4 is given by 8x - 3y = 91.
We are aware that any straight line's equation can be expressed as
y = mx + c,
where m denotes the slope and c denotes a constant.
Also, two perpendicular lines' slopes are the negative reciprocals of one another.
Here, the equation of the given straight line is
3x+8y=4
i.e. 8y = 4 -3x
i.e. y = (4/8) - (3/8)x
Now the negative reciprocal of - 3/8 is 8/3.
Then we can write the equation of the perpendicular line is
y = (8/3)x + c ...(1)
Since (1) passes through the point (8, -9), so we can put x = 8 and y = -9 in (1) to get the value of c.
So, -9 = (8/3)*8 + c
i.e. -9 = 64/3 + c
i.e. c = -9 -64/3 = - (27 + 64)/3 = - 91/3
(1) can be written as
y = (8/3)x - (91/3)
i.e. 3y = 8x - 91
i.e. 8x - 3y = 91
Therefore the equation of the line through the point (8,−9) and perpendicular to 3x+8y=4 is given by 8x - 3y = 91.
Learn more about perpendicular lines here -
brainly.com/question/12209021
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Answer:
12. Since the pool is square, all the sides are equal. The area is length times height, so that means it would be 12 times 12, which is 144. The answer is 12 feet.
Step-by-step explanation:
Answer (2,-5) when it is reflected across x=3
