Which one is an expression, which one is an equation, or neither? Picture below
1 answer:
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The dilation of the rectangle stretches it with regards to the distances from the central point
The option that gives the coordinates of the point <em>D</em> is the option;
D (0, 5)
Reason:
The known parameter;
Coordinates of the center of dilation is M(-3, -4)
Scale factor of dilation = 3
The coordinates of the vertex of the rectangle ABCD are;
A(-2, 2), B(3, 2), C(3, -1), and D(-2, -1)
Length MD =
Therefore, length of MD' = 3·√10
Slope of MD, is given as follows;
Therefore, y = 3·x
x² + y² = (3·√10)²
x² + (3·x)² = (3·√10)²
10·x² = 90
x = 3
y = 9
We note that the value of <em>x</em>, and <em>y</em>, are calculated as distance from the central point, <em>M</em>, therefore;
The coordinates of the point D' is (-3 + x, -4 + y)
∴ Coordinates of D' = (-3 + 3, -4 + 9) = (0, 5)
- Coordinates of D' = (0, 5)
Learn more about dilation of a figure from a point here:
Answer:
MN = 7 cm
Step-by-step explanation:
Well the volume we can separate into pieces
first the ABCDEFGH (? you know this cuboid)
which has a volume of
if you ask where does the 4 come from
it comes from LP = KB = YC and JY + YC =JC
so
this is because JY = MX
the other volume is of BCNPKLXY (hope you understand which one)
and the volume is
and the last one is KYXLMJ (the top "triangle")
the volume is
so now add them up
and has to equal 444
and finally we know that MN = MX + XN = 3+4 = 7
so here is our answer MN = 7 cm
a couple of notes
3. the units don't matter due to the fact that everything is in cm
4. see the picture below to get a better idea of which prism I am talking of
5. tell me if you have questions :D
