The line
<span>-x+3y=1 can be moved into slope intercept form to get slope.
slope is what matters for questions that asks about perpendicular/parallel...
isolate y to get slope intercept form
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<span>-x+3y=1
add x to both sides
3y = x + 1
divide both sides by 3
y = (x+1)/3
y = x/3 + 1/3
the slope is 1/3 because x/3 is the same as 1/3 * x.
the line that is perpendicular to this line has a slope that is the negative recirpocal of the original slope like.
perpendicular line slope: -3. (reciprocal of 1/3 is 3; then make that negative).
Told that this perp line passes through (7,-5), using slope intercept form y = mx + b with unknown y-intercept b value:
y = -3x + b
since (7,-5) means at x = 7, y = -5, plug those numbers in to solve for b
-5 = -3(7) + b
-5 = -21 + b
b = -5 + 21
b = 16
perpendicular line:
y = -3x + 16
for the parallel line has the same slope as the original
slope of parallel line: 1/3
we are told that parpall line goes through (7,-5) so using the unfinished slope-intercept form y = mx + b with unfinishe dinfo: we have
y = 1/3 x + b
since at x = 7 we have y = -5, plug it in
-5 = (1/3)(7) + b
-5 = 7/3 + b
b = -5 - 7/3
b = -15/3 - 7/3 .... same denominator for fraction add/subtract
b = -22/3
parallel line equation:
y = 1/3x - 22/3
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Answer:
It will take 100 additional minutes for the two plans to cost the same.
Step-by-step explanation:
Tim is choosing between two cell phone plans, Cingular and Verizon. They offer the same amount of free minutes.
Cingular's plan charges $39.99 per month with additional minutes costing $0.45.
Verizon's plan costs $44.99 with additional minutes at $0.40
Let a = the number of additional units that it will take the two plans to cost the same.
This means total cost of Cingular's plan additional minutes will be 0.45a and total cost of Verizon's plan additional minutes will be 0.4a
For the two plans to cost the same,
39.99 + 0.45a = 44.99 + 0.4a
0.45a - 0.4a = 44.99 - 39.99
0.05a = 5
a = 5/0.05 = 100
first one is <u>=,</u><u /> second is <u>C,</u><u /> third is <u>B</u>
True, Fe (iron) has 2 on the left side and on the other side as well. C (carbon) has 3 on the left and 3 on the other. O (oxygen) has 6, 3 for the first part and another 3 because of the reciprocal in the beginning of the equation. On the other side O has 2 and it's multiplied by the reciprocal 3 which is 6
Answer:
Step-by-step explanation:
both sides are the same length so 20+6x+3=18+7x+2
all you have to do is get the variables and non-variables on opposite sides of the equation so 3=x