Answer:
a = 1
Step-by-step explanation:
Step 1: Write equation
3(a - 1) + 2a = a + 1
Step 2: Solve for <em>a</em>
<u>Distribute 3:</u> 3a - 3 + 2a = a + 1
<u>Combine like terms:</u> 5a - 3 = a + 1
<u>Subtract a on both sides:</u> 4a - 3 = 1
<u>Add 3 on both sides:</u> 4a = 4
<u>Divide both sides by 4:</u> a = 1
Answer:
First box -3, 1
Second box -3, 7
Step-by-step explanation:
If they start at 4 on the y-axis, they can go down to 1 or go up to 7. Then we just add the -3 to the x axis.
Use a graphing tool and you'll see a circle form. This circle has a center of (0,0) and radius of 4. Side note: this equation is equivalent to x^2+y^2 = 16 after you divide everything by 4
Looking at the graph, the smallest x can be is -4. The largest x can be is 4. So the domain in interval notation is
![[-4,4]](https://tex.z-dn.net/?f=%5B-4%2C4%5D)
Similarly the range in interval notation is also <span>
![[-4,4]](https://tex.z-dn.net/?f=%5B-4%2C4%5D)
because the lowest you can go is y = -4. The highest you can go is y = 4</span>
Answer:
E
Step-by-step explanation:
We just need to know the sin 40 value