Find the equation of the line with slope 7 which goes through the point (-2,-9). Give your answer in slope intercept form y=mx+b
1 answer:
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Answer:
y + 2 = (x - 1)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y - 4 = (x - 3) ← is in point- slope form
with slope m =
Parallel lines have equal slopes, thus equation of parallel line
with m = and (a, b) = Q(1, - 2) is
y - (- 2) = (x - 1) , that is
y + 2 = (x - 1)
Answer:
Volume = cubic centimeter
Step-by-step explanation:
Let the length of each side of the base of the box be A and the height of the box be H.
Area of material required to make the box is equal to is
Rearranging the above equation, we get -
Volume of box is equal to product of base area of box and the height of the box -
Substituting the given area we get -
For maximum volume
Volume of the box
=
= cubic centimeter
Answer:
see below for drawings and description
Step-by-step explanation:
For geometry problems involving translation, rotation, and reflection—transformations that change location, but not size ("rigid" transformations)—it might be helpful for you to trace the image onto tracing paper or clear plastic so that you can manipulate it in the desired way. Eventually, you'll be able to do this mentally, without the aid of a physical object to play with.
For the images attached here, I copied the triangle onto a piece of clear plastic so I could move it to the desired positions. The result was photographed for your pleasure.
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a. Translation means the image is moved without changing its orientation or dimensions. You are asked to copy the triangle so that the upper left vertex is moved to what is now point E. See the first attachment.
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b. Reflection means the points are copied to the same distance on the other side of the point or line of reflection. Just as an object held to a mirror has its reflection also at the mirror, any points on the line of reflection do not move. Reflection flips the image over. See the second attachment.
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c. Rotation about point D means point D stays where it is. The angle of rotation is the same as the angle at D, so the line DE gets rotated until it aligns with the line DF. The rest of the triangle maintains its shape. See the third attachment.
