The slope of the line that is perpendicular to 6x + 2y = -32 is: 1/3.
<h3>What is the Slope of Perpendicular Lines?</h3>
The slope of two lines that are perpendicular to each other will always have a product that is equal to -1, which means that their slopes are negative reciprocals to each other.
Rewrite 6x + 2y = -32 in slope-intercept form:
2y = -6x - 32
2y/2 = -6x/2 - 32/2
y = -3x - 16
The slope is -3. Negative reciprocal of -3 is 1/3.
Therefore, the slope of the perpendicular line would be: 1/3.
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I only know (b) and 28 (c)
(b) Multiples of 120= 120,240,360,480,600
Multiples of 150= 150,300,450,600
Both numbers have 600 as their first common multiple so the ANSWER is 600
28. (a) Common factors of 24= 1,2,3,4,6,8,12,24
Common factors of 64= 1,2,4,8,16,32,64
8 is the only common factor for both 24 and 64 so 8 is the ANSWER
Answer:
a . 1/13
Step-by-step explanation:
The perimeter of R is the same as the perimeter of L
<h3>
Answer: 8</h3>
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Work Shown:
Let's say there are 28 cards in a full stack.
6/7 = 24/28 after multiplying top and bottom by 4
Since he has 24/28 of a stack left, this means he has 24 cards left.
He wants to arrange the remaining cards into piles so that each pile consists of 3/28 of a full stack. In other words, he wants each pile to have 3 cards.
So this must mean he will get 24/3 = 8 piles
(8 piles)*(3 cards per pile) = 8*3 = 24 cards total