Answer:
Bet
Step-by-step explanation:
Two equations for two perpendicular lines that have the same y-intercept and do not pass through the same origin are; y = x + 1 and y = -x + 1
<h3>What is the equation of the two lines?</h3>
The general formula for the equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
Now, when we talk about two perpendicular lines, it means that their slopes are negative reciprocals of each other.
Secondly, we are told that they both do not pass through the origin. Thus, it means that the y-intercept cannot be zero.
Therefore, two possible equations here can be;
y = x + 1 and y = -x + 1
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Answer:
v = 9/2 + sqrt(61)/2 or v = 9/2 - sqrt(61)/2
Step-by-step explanation:
Solve for v over the real numbers:
-v^2 + 9 v - 5 = 0
Multiply both sides by -1:
v^2 - 9 v + 5 = 0
Subtract 5 from both sides:
v^2 - 9 v = -5
Add 81/4 to both sides:
v^2 - 9 v + 81/4 = 61/4
Write the left hand side as a square:
(v - 9/2)^2 = 61/4
Take the square root of both sides:
v - 9/2 = sqrt(61)/2 or v - 9/2 = -sqrt(61)/2
Add 9/2 to both sides:
v = 9/2 + sqrt(61)/2 or v - 9/2 = -sqrt(61)/2
Add 9/2 to both sides:
Answer: v = 9/2 + sqrt(61)/2 or v = 9/2 - sqrt(61)/2
The number of pieces of card stock which would result upon the process repetition is; 256 pieces.
<h3>What is the number of card stock pieces resulting from the cutting process?</h3>
According to the task content, it follows that since, there are 8 pieces of the 8 inches per side cards initially, the resulting number of cards after carrying out the process of cutting cards into half five, 5 times is;
No of cards = 8 (2)⁵
No. of cards = 256 pieces.
The size of each of the cards in discuss provided that all cuts will be made along and not across the longer edge is; 8 by 1/4 inches.
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