Solution:
As given Square L M NO is dilated by a scale factor of two about the center of the square to create square L'M'N'O'.
Original line of Dilation = Along P Q
New Dilated line = P'Q'
As scale factor > 1
1. Image Size > Pre image size
2. The two images will be similar.
3. Length of Dilated Line P' Q' = 2 × Length of PQ
As you can see from the diagram drawn below, Dilated line P'Q' will contain the point P and Q.
All four points P,Q,Q',P' are collinear , lie in the same line.
Option (2) dilated line P'Q' will contain the points P and Q is true.
Is that area if so the answer is 12
Answer:
let 'a' be the first term, 'd' be the common difference between all the terms of the sequence
Step-by-step explanation:
therefore, a = 3,
and, d = -9 -3
= -12
hence the 14th term would be,
=> a + 13d
=> 3 + 13( -12 )
=> 3 - 156
=> - 153
The given temperatures of 70 °F, 50 °F, and 35 °F, at the given 3, 3, and
6 days give the following step function;
- Please find attached the graph of the step function?
<h3>How can the step function be written?</h3>
The temperature at it is fermented in the first three days = 70 °F
From day 3 to 6 the temperature = 50 °F
From day 6 to day 12, the temperature at which it is kept in the freezer = 35 °F
The step function is therefore;
The graph of the above function created with MS Excel is attached
Learn more about step functions here:
brainly.com/question/2509505
Answer:
5676.16 cm^3
Step-by-step explanation:
The volume of any prism is given by the formula ...
V = Bh
where B is the area of one of the parallel bases and h is the perpendicular distance between them. Here, the base is a triangle, so its area will be ...
B = 1/2·bh
where the b and h in this formula are the base and height of the triangle, 28 cm and 22.4 cm.
Then the volume is ...
V = (1/2·(28 cm)(22.4 cm))·(18.1 cm) = 5676.16 cm^3
_____
You will note that this is half the product of the three dimensions, so is half the volume of a cuboid with those dimensions. Perhaps you can see that if you took another such prism and placed the faces having the largest area against each other, you would have a cuboid of the dimensions shown.
