Answer:
![(-7,4]\text{ or }\{x|-7](https://tex.z-dn.net/?f=%28-7%2C4%5D%5Ctext%7B%20or%20%7D%5C%7Bx%7C-7%3Cx%5Cleq%204%5C%7D)
Step-by-step explanation:
The domain is the span of x-values covered by the function.
From the graph, we can see that the graph covers all the x-values from x=-7 to x=4.
However, note that closed and open circles. There is an open circle at x=-7, which means that the domain excludes x=-7. However, the circle at x=4 is closed, meaning it is included in the domain.
Therefore, the domain is, in interval notation:
![(-7,4]](https://tex.z-dn.net/?f=%28-7%2C4%5D)
We use parentheses on the left because we do not include -7. And we use brackets on the right because we <em>do </em>include the 4.
And in set notation, this is:
Answer: First let’s find x.
A straight line adds up to 180 degrees. So wen know that X and the 81 degree angle should add up to 180, so x+81=180 is our equation. Let’s solve.
Subtract 81 from 180
You get x=99 degrees.
Let’s now find Y.
We know because of the alternate interior angles property that x will have to equal 3y-9. We already know x is 99. Let’s set up an equation. 3y-9=99 let’s add our 9. We get 108. Divide by 3. We get y=36.
Step-by-step explanation:
PLEASE ASK ANY FURTHER QUESTIONS IF YOU STILL DONT UNDERSTAND :)
Answer:
41.7m²
Step-by-step explanation:
As we can see, the area of this shape is simply the sum of 3 rectangles
Rectangle A has an area of 6 times 4 or 24m²
Rectangle B has an area of (3.8-2) times 3.5 or 1.8 times 3.5 or 6.3m²
Rectangle C has an area of 3 times 3.8 or 11.4m²
Adding that up gives 41.7m²
