I have been stuck with this one, and i would like to how to solve this.In each case, determine whether line AB is parallel or perpendicular to CD.
(a) A(0, 0), B(0, 1), C(0, 0), D(1, 0).
(b) A(0, 1), B(2, 3), C(4, 5), D(6, 7).

Answers

Answer 1
Answer: a) AB is parallel CD from graphic;
b) m AB = (3-1)/(2-0) => m AB = 1;  m CD = (7-5)/(6-4) => m CD = 1 => m AB = m CD => AB is parallel CD;

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Answers

Answer:

y = -(1)/(3) x + 2

Step-by-step explanation:

The slope of the line that has an x intercept of (2,0) and y-intercept of (0,-6) is:

Slope(s) = Change in y ÷ change in x

s = (0 - -6)/(2 - 0) = 3

The slope of the perpendicular line to this line with slope of 3 has to have a slope of -1 ÷ 3 = -(1)/(3)

Reason: The product of slopes of lines perpendicular to each other have to be -1

So the slope of the perpendicular line that passes through (-6,4) is -(1)/(3)

As mentioned earlier, we derive a slope of a line by dividing the change in y by the change in x

Taking another point (x,y) on the line,

-(1)/(3) = (y - 4)/(x - -6)

-(1)/(3) = (y - 4)/(x + 6)

y - 4 = -(1)/(3)x - 2

y = -(1)/(3)x + 2

To find the slope-intercept equation of a line that passes through a given point and is perpendicular to another line, we can determine the slope of the given line and use it to find the equation.

To find the slope-intercept equation of a line, we need to know the slope and the y-intercept. Since the line that this problem is referring to is perpendicular to a line with an x-intercept of 2 and a y-intercept of -6, we can determine the slope of the line we are looking for by taking the negative reciprocal of the slope of the given line.

The slope of the given line is found using the formula: slope = (y2 - y1) / (x2 - x1)

Once we have the slope, we can use the point-slope form of a linear equation to find the equation of the line that passes through (-6,4) and has the determined slope. Finally, we can rearrange the equation to obtain the slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.

Learn more about Slope-intercept equation here:

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ALGEBRA! NEED HELP!~A glass prism on a chandelier is 75 millimeters long. A base of the prism is an equilateral triangle with side lengtsh of 9 millimeters and a height of about 7.8 millimeters. What is the approximate surface area of the prism?

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To find out a glass prism's surface are you should first find the, base's are. Since the base is triangle, it's are formula is : A\quad =\quad \frac { h.b }{ 2 } (which h is height and b is base length). A\quad =\quad \frac { 7,8.9 }{ 2 } \n A=\quad \frac { 70,2 }{ 2 } \n A=\quad 35,1 since there are two triangle's their total area will be 70.2 To find the remaining surface's are multiply the perimeter of the base with the length. perimeter\quad =\quad 9\cdot 3=27\n 27\cdot 75=2025 then sum the total surface : 70,2 + 2025 = 2095,2

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Answers

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