Answer:
The slope is 1/5
Step-by-step explanation:
1) From the data, we can see that

is given.
2) Next,

since they are alternate angles.
3) By substitution, these means that

4) Finally, a || b since

this is because, angle 7 and angle 8 are corresponding angles.
Corresponding angles are angles that are on the same corner at each intersection. For instance, 2 and 6
4 and 8, 1 and 5, 3 and 7
In our case, 7 and 8 are corresponding angles
Answer:
I can't see the options but the answer is -1,024
Step-by-step explanation:
-4^5= -4 × (-4) × (-4) × (-4) × (-4)= -1,024
Answer:
1. 5x +43
2. -1.5x - 7
3. 6.2 - 2x
Step-by-step explanation:
<u />
<u>Equation 1:</u>
5 (x+8) +3
First, we can distribute the 5 to the (x+8) and get 5x + 40. Distributing is when we multiply the 5 by the first number (x) and then by the second number (8) Because they aren't like terms (don't both have x's) we cannot combine then and must keep them separated by a subtraction sign
Now we have: 5x + 40 + 3
Next, we can combine the like terms. This means that any that have the same variable can be combined. So, the 5x has no other x's so he has to stay how he is. The 40 and the 3, however, can be added together to get 43.
Our finished equation is: 5x + 43
<u />
<u>Equation 2:</u>
3.6x - 7 - 5.1x
First, we can combine like terms as we learned in the last problem. This would be our x's since we have multiple.
We can add 3.6x and -5.1x and get -1.5x
Now we have: -1.5x - 7
<u />
<u>Equation 3:</u>
4 + 8x + 2.2 - 10x
We can start with either the numbers with x's or without but I'll just do the x's. So we have 8x and -10x. Adding these together would get us -2x.
Next, we can combine 4 and 2.2 and get 6.2.
Now, putting these back into our equation would look like this:
6.2 - 2x
I'm not sure how much my explanations helped, but I hope you understand!!
Answer:
x = -3
x = -1
x = 2
Step-by-step explanation:
The <u>zeros of a function</u> are the x-values of the points at which the curve crosses the x-axis.
From inspection of the given graph, the curve crosses the x-axis at:
Therefore, these are the zeros of the function.