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Answer:
- parallel: y = 4x -6
- perpendicular: y = -1/4x +27/4
Step-by-step explanation:
If we want the new line to be written in slope-intercept form, we need to find the new value of the y-intercept. The equation of the line is ...
y = mx +b . . . . . . . for slope m and y-intercept b
Solving for b gives ...
b = y -mx . . . . . . . subtract mx from both sides.
The values of x and y come from the point we want the line to pass through. The value of m will be the same for the parallel line as for the given line: 4. For the perpendicular line, it will be the opposite reciprocal of this: -1/4.
<u>Parallel line</u>
b = 6 -4(3) = 6 -12 = -6
y = 4x -6
Perpendicular line
b = 6 -(-1/4)(3) = 6 +3/4 = 27/4
y = -1/4x +27/4
X+y is less than or equal to 15
4x+8y is greater than or equal to 80
x is greater than 0
y is greater than 0
Answer:
(2x -3)^2 = 0
Step-by-step explanation:
In this particular instance, the square is already complete. The rewrite is to show that.
(2x -3)^2 = 0
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In the general case, ...
(ax +b)^2 = a^2x^2 +2abx +b^2
Comparing this form to the given left-side expression, we see that ...
a = 2, b = -3
So, the trinomial is already a perfect square trinomial.
Answer:
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