Answer:
17/2
Step-by-step explanation:
8 × 2 = 16 adding 1 = 17
Answer:
7
Step-by-step explanation:
Let S be the set of all graphs having vertex set \{1,2,3,4\}. The relation \rho is defined over S such that
the graphs G and H are equivalent provided that they have same number of edges. Then, the number of equivalence classes depends on how many edges can be there in the vertex set \{1,2,3,4\} .
The number of edges is 0 forms a disconnected graph which makes an equivalent class.
The graphs of 1 edge makes an equivalent class.
The graphs of 2 edges makes an equivalent class.
The graphs of 3 edges makes an equivalent class.
The graphs of 4 edges makes an equivalent class.
The graphs of 5 edges makes an equivalent class.
In similar way, the only graph of 6 edges is complete graph which forms another equivalent class.
Hence,the total number of equivalent classes is 7.
Answer:
A
Step-by-step explanation:
I attached the solution
Read the problem and answer choices. You want to get from ABCD to EFGH, so you need to figure out how to do that with reflection, translation, and dilation—in that order.
The reflection part is fairly easy. ABC is a bottom-to-top order, and EFG is a top-to-bottom order, so the reflection is one that changes top to bottom. It must be reflection across a horizontal line. The only horizontal line offered in the answer choices is the x-axis. Selection B is indicated right away.
The dimensions of EFGH are 3 times those of ABCD, so the dilation scale factor is 3. This means that prior to dilation, the point H (for example), now at (-12, -3) would have been at (-4, -1), a factor of 3 closer to the origin. H corresponds to D in the original figure, which would be located at (0, -2) after reflection across the x-axis.
So, the translation from (0, -2) to (-4, -1) is 4 units left (0 to -4) and 1 unit up (-2 to -1).
The appropriate choice and fill-in would be ...
... <em>B. Reflection across the x-axis, translation </em><em>4</em><em> units left and </em><em>1</em><em> unit up, dilation with center (0, 0) and scale factor </em><em>3</em><em>.</em>
_____
You can check to see that these transformations also map the other points appropriately. They do.
Answer:
5.25 feets
Step-by-step explanation:
Given that:
Height of Salem Sue = 38 feets
Height of Salem Sue's shadow = 57 feets long
Height of child standing next to the statue = 3.5 foot tall
Length of the child's shadow =?
Let lenght of child's shadow = s
IF;
38 Feets tall = 57 feets lenght
3.5 feets tall = s feets long
Cross multiply :
38 * s = 57 * 3.5
38s = 199.5
38s / 38 = 199.5 /38
s = 5.25
Hence, length of the child's shadow will be 5.25 feets long
