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 -
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Answer:
1530 cubic cm
Step-by-step explanation:
(18*4*10) + (9*9*10) = 1530
Answer:
$178
Step-by-step explanation:
divide y by x in all of the slots, add them all up
, divide by number of slots
, and multiply answer by 100
hope this helps
1. One tenth
2. Six hundredths
3. Eight thousandths
4. 8.059
5. 1.981
6. 5.3, 5.30
7. 3.70, 3.700
8. 0.90, 0.900
9. Seven and twenty-four hundredths
10. One four is in the ones place and one four is in the thousandths place.