Answer:
The actual answer is 2.26, but since that is not an option, I am going to say that you should choose the very last answer at the bottom, π r².
Step-by-step explanation:
Answer:
20%
Step-by-step explanation:
100 divided by 5 is 20
#so_smart
Red=20 (1/3 x 60=20)
Blue=30 (1/2 x 60=30)
Green=5 (1/12 x 60=5)
White=5 (1x12 x 60=5)
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
<h3>
Answer: Sometimes true</h3>
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Explanation:
-8+d is positive only when d > 8
Here's why
-8+d > 0
-8+d+8 > 0+8 .... add 8 to both sides
d > 8
So if Jessica said "d is greater than 8", then her claim would always be correct.
However, her claim is sometimes true.
Two counter examples could be when d = 1 and d = 2.
If d = 1, then -8+d = -8+1 = -7 which isn't positive.
If d = 2, then -8+d = -8+2 = -6 which also isn't positive.
Basically if d is anything smaller than 8, then you'll have -8+d be negative.
If d is something larger than 8, say d = 9, then -8+d = -8+9 = 1 which is finally positive.
