Kalil bought 1 pound and 1/4. ( 1 1/4) It means: 1 pound and a quarter pound.
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
#SPJ10
Answer:
42
Step-by-step explanation:
First I multiplied 14 by 6, obtaining 84. Next, I divided that by 2, obtaining 42. This 42 is evenly divisible by both 14 and 6. Thus, the LCM is 42.
1,000,000 times 100 equals 100,000,000
Ok, this looks a lot harder than it is. Either way, a calculator/computer can work miracles. Have a good day!!
1. 2x³ - 11x² + 13x - 21 ÷ x - 3
x - 3 = 0 ⇒ x = 3
3 | 2 -11 13 -21
<u>| ↓ 6 -15 -6</u>
2 -5 -2 -27
1. Answer: 2x² - 5x - 2 - 
*************************************************************
2. 3x³ + 7x² - 13x + 10 ÷ x + 2
x + 2 = 0 ⇒ x = -2
-2 | 3 7 -13 10
<u>| ↓ -6 -2 30</u>
3 1 -15 40
2. Answer: 3x² + x - 15 + 
3. 2x³ + 13x² - 21x + 9 ÷ x - 1
x - 1 = 0 ⇒ x = 1
1 | 2 13 -21 9
<u>| ↓ 2 15 -6</u>
2 15 -6 3
3. Answer: 2x² + 15x - 6 + 
4. 7x³ + 0x² - 8x + 16 ÷ x - 2
x - 2 = 0 ⇒ x = 2
2 | 7 0 -8 16
<u>| ↓ 14 28 40</u>
7 14 20 56
4. Answer: 7x² + 14x + 20 + 
5. 8x⁴ - 14x³ - 71x² - 10x + 24 ÷ x - 4
x - 4 = 0 ⇒ x = 4
4 | 8 -14 -71 -10 24
<u>| ↓ 32 72 4 -24 </u>
8 18 1 -6 0
5. Answer: 8x³ + 18x² + x - 6
