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:
-86
Step-by-step explanation:
simplify each equation as much as possible
f(x)= 4x(2+9) add
4x(11) multiply
f(x)=44x
substitute given numbers into each equation
44(-2)=-88 3(4)-14= 12-14=-2
combine equations
-88-(-2)= -86 add since you are subtracting a negative number
Answer:
a horizontal translation by 3 units left
Step-by-step explanation:
f(x)= |x|
we are given with absolute function f(x)
g(x) = |x+3|
To get g(x) from f(x) , 3 is added with x
If any number is added with x then the graph of the function move to the left
Here 3 is added with x, so the graph of f(x) moves 3 units left to get g(x)
So there will be a horizontal translation by 3 units
Answer:
Step-by-step explanation:
y = x² + 4x is an up-opening parabola with x-intercepts 0 and -4.
y ≥ 0 when x≤-4 or x≥0
range: (-∞,-4)∪[0,+∞)
Answer:
The degree of the polynomial is 3.
