Answer:
Step-by-step explanation:
<u>The area is:</u>
- 22*4 + 2*(1/2)*4*4 = 88 + 16 = 104 cm²
Correct choice is A
Answer:
4.80
Step-by-step explanation:
To find the solution to this problem we will use the Pythagoras theorem.
![{c}^{2} = {a}^{2} - {b}^{2}](https://tex.z-dn.net/?f=%20%7Bc%7D%5E%7B2%7D%20%20%3D%20%20%7Ba%7D%5E%7B2%7D%20%20-%20%20%7Bb%7D%5E%7B2%7D%20)
![= \sqrt{ {12}^{2} - {11}^{2}} \\ = 4.7958... \\ = 4.8](https://tex.z-dn.net/?f=%20%3D%20%20%20%5Csqrt%7B%20%7B12%7D%5E%7B2%7D%20%20-%20%20%7B11%7D%5E%7B2%7D%7D%20%5C%5C%20%20%3D%204.7958...%20%5C%5C%20%20%3D%204.8)
Yes and no. A negative number and it's opposite are 'integers.' Yes, a negative and a negative multiplied together give you a positive. The two negative signs cancel out making it positive. But no, a positive and a positive multiplied together do not give you a negative. When you subtract positive numbers you can get a negative, but not when multiplying. If you were to do a positive times a negative it would be negative because the positive can't cancel it out. Example: -3 · -3 = 9. [] 3 · 3 = 9. [] -3 · 3 = -9. Other than the positive number part, the statement is true about the negatives. I hope that helped!
Answer:
![-4 \le x \le 5](https://tex.z-dn.net/?f=-4%20%5Cle%20x%20%5Cle%205)
Note: to write the domain in interval notation, you'd write [-4,5]
if you need the domain in set-builder notation, then you'd write
![\left\{x|x\in\mathbb{R}, \ -4\le x\le 5\right\}](https://tex.z-dn.net/?f=%5Cleft%5C%7Bx%7Cx%5Cin%5Cmathbb%7BR%7D%2C%20%5C%20-4%5Cle%20x%5Cle%205%5Cright%5C%7D)
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Explanation:
The domain is the set of possible x input values. Look at the left most point (-4,-1). The x coordinate here is x = -4. This is the smallest x value allowed. The largest x value allowed is x = 5 for similar reasons, but on the other side of the graph.
So that's how I got
![-4 \le x \le 5](https://tex.z-dn.net/?f=-4%20%5Cle%20x%20%5Cle%205)
(x is between -4 and 5; inclusive of both endpoints)
Writing [-4,5] for interval notation tells us that we have an interval from -4 to 5 and we include both endpoints. The square brackets mean "include endpoint"
Writing
![\left\{x|x\in\mathbb{R}, \ -4\le x\le 5\right\}](https://tex.z-dn.net/?f=%5Cleft%5C%7Bx%7Cx%5Cin%5Cmathbb%7BR%7D%2C%20%5C%20-4%5Cle%20x%5Cle%205%5Cright%5C%7D)
is the set-builder notation way of expressing the domain. The
![x\in\mathbb{R}](https://tex.z-dn.net/?f=x%5Cin%5Cmathbb%7BR%7D)
portion means "x is a real number"
The first one is rectangle