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What is the equation of the line parallel to y=-5x-9 and contains the point (-3, -3)?
First of all, parallel lines have the exact same slope.
So we know the slope of the line:- -5.
(enter -5, It's the number that belongs in the green box)
How about the y-intercept?
Well, since we're given the slope and a point that the line intersects, we can write the line's equation in point-slope form:-
y-y1=m(x-x1)
y-(-3)=-5(x-(-3)
y+3=-5(x+3)
y+3=-5x-15
y=-5x-18
<h3>Good luck.</h3>
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Answer:
1. The pin’s location aids to create two drawings simultaneously. This is that while drawing an image, a copy, which may vary in size, is created at the same time.
2. The pantograph relates to dilation and similarity due to the use of similar triangles that affect the scale of the second drawing.
3. The use of similar triangles illustrates the process of the pantograph because the ratio of similitude is set when determining where to place the pin. When a triangle is moved while tracing a line, along with the outline of the image, an enlarged/reduced version of the image is created by the other pantograph's end.
4. The pantograph is now obsolete and has been replaced by several different ways of producing duplicates such as photocopying, mass printing, and digital filing.
Actually there are three shapes that can be classified as a parallelogram.
Square, Rectangle, and Rhombus
<h3>
Answer: 30 feet</h3>
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Explanation:
He has 90 feet of fencing overall. This is the perimeter of the rectangle as its the distance around all four sides.
Two of the opposite sides are the width = 15 ft. So we have 15+15 = 30 feet taken up and 90-30 = 60 feet left for the other two opposite sides to add to. Call each of those sides x
x+x = 60
2x = 60
x = 60/2
x = 30
The other side must be 30 feet long.
This rectangle is 30 by 15
perimeter = 30+15+30+15 = 45 + 45 = 90
which helps confirm we have the right answer
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Or you can solve this way
P = 2*(L+W) is the perimeter of a rectangle with length L and width W
Plug in the perimeter P = 90 and the width W = 15. Solve for L
P = 2*(L+W)
90 = 2*(L+15)
2(L+15) = 90
L+15 = 90/2
L+15 = 45
L = 45-15
L = 30
