Answer:
82
Step-by-step explanation:
Evaluate 4 x^2 - 14 x + 4 where x = -3:
4 x^2 - 14 x + 4 = 4×(-3)^2 - -3×14 + 4
(-3)^2 = 9:
4×9 - 14 (-3) + 4
4×9 = 36:
36 - 14 (-3) + 4
-14 (-3) = 42:
36 + 42 + 4
| 1 |
| 4 | 2
| 3 | 6
+ | | 4
| 8 | 2:
Answer: 82
When a shape is rotated, it must be rotated around a point.
<em>See attachment for the image of each rotation.</em>
To do this, the top coordinates of the X shape will be transformed using the appropriate rotation rule; the same rule will then be applied to the other parts of the X shape.
The top coordinates of the X shape are:




For 90 degrees counterclockwise rotation, the rule is:

So, we have:




For 180 degrees rotation, the rule is:

So, we have:




For 270 degrees counter rotation, the rule is:

So, we have:




See attachment for the image of each rotation
Read more about rotations at:
brainly.com/question/1571997
Answer:
6.928 or 6.93
Step-by-step explanation:
\sqrt{8^{2}-4^{2}}
I prefer to use compatible numbers because by using this method it is easier to make a sum mentally. This is true because compatible numbers are close in value to the actual numbers. For a better understanding, let's take an example:
Suppose you have two numbers, namely 640 and 40. These two numbers are compatible for division because:
64 ÷ 4 = 16
So, we have used mental arithmetic to solve a more complex problem.