The coordinates of the vertices of LMN acquired a -ve sign to form the image L'M'N'. The line passes through the origin.
Step-by-step explanation:
When a point is rotated through 180° about the origin clockwise/anticlockwise, the coordinates of the object point T (h,k) takes a new position (-h,-k) to form the image T'. A line joining an object point to its image point will pass through the origin that is the center of rotation.
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Rotation about the origin through 180°: brainly.com/question/7747099
Keywords : Rotate, origin,graph, triangle
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Answer:
64 cubic metres
Step-by-step explanation:
The triangular pyramid volume formula resembles the volume formula for any other pyramid or cone:
V = A * H / 3
where:
A is the area of the pyramid's base
H is the height from the base to the point
In other words: the volume of a triangular pyramid is one-third of the product of the base area and the pyramid's height.
8 x 6 / 2 to find area of base = 24
x 8 = 192
192 / 3 = 64
Hope this makes sense. If you would like, I can l1nk to a very useful website, or I can explain it further.
- profparis
Answer:
(f + g)(x) = x^2 + 3x - 6
Step-by-step explanation:
Given f(x) = x^2 + x − 2 and g(x) = 2x − 4
Plug in:
(f + g)(x) = x^2 + x − 2 + 2x − 4
(f + g)(x) = x^2 + 3x - 6
To write a number in scientific notation put the decimal after the first digit and drop the zeros and to find the exponent count the number of places from the decimal to the end of the number to express 3,500 use 3.5 x 10 ^ 3 or 3.5E03
Y-2x=-3.5
x-2y=-14
then multiply the first term by 2
2y-4x=-7
x-2y=-14
then sum them
-3x=-21
x=-7
y=3.5
