Determination is your will power of doing something. Someone who is determined has the firmness of purpose and the resolve to achieve a goal.
Synonyms:
<em>resolution, resolve, resoluteness, character.</em>
<em />
Antonyms:
<em>weak-mindedness, pusillanimity. </em>
Answer:
3/52
Step-by-step explanation:
The picture card are j,q k and there are 4 of each so there are 12 picture cards
P( picture card) = picture card/ total
12/52 = 3/13
Then replace the card
There are 13 clubs
P( club) = club/ total
13/52 = 1/4
P(picture,replace,club) = 3/13*1/4 = 3/52
Answer:
<h2><em><u>2</u></em></h2>
Step-by-step explanation:
![= \sqrt[5]{32}](https://tex.z-dn.net/?f=%20%3D%20%20%5Csqrt%5B5%5D%7B32%7D%20)
![= \sqrt[5]{2 \times 2 \times 2 \times 2 \times 2}](https://tex.z-dn.net/?f=%20%3D%20%20%5Csqrt%5B5%5D%7B2%20%5Ctimes%202%20%5Ctimes%202%20%5Ctimes%202%20%5Ctimes%202%7D%20)
= <em><u>2</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>
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.
