Parenthesis first
11+4=15
division second
15/3=5
what is the square root of 64? 8!
8x5=40
Answer is 40
Answer:
Yes the relationship is linear and given by:
(first option of your list)
Step-by-step explanation:
Yes, it is a linear expression. As we did in previous exercises, we calculate the difference between consecutive y values of the table, and write down the answers we get:
-7-(-2) = -7+2 = -5
-12-(-7) = -12 +7 = -5
-17 - (-12) = -17 + 12 = -5
We notice that all of them give "-5"
Now we evaluate the difference between consecutive x-values in a similar fashion:
-5 -(-9) = -5+9 = 4
-1-(-5) = -1+5 = 4
3-(-1) = 3+1 = 4
We see that they all give 4 as the difference.
That means that the rate of change 
This means that the slope (rate of change) of the line is "-5/4"
We can now use the general point-slope form to write the equation of the line, using the first pair of the table as our selected point, and using "-5/4" for the slope:

which is the first expression listed among your possible answer choices.
Answer:
The answer to each question is:
- A.) 403.2
- B.) 100. 8
Step-by-step explanation:
A.) To obtain the area of the dodecagon, you can use the next formula:
- Area of a dodecagon = 6 * apothem * edge
In the exercise, we have the edge (6 cm), but, to find the apothem of a dodecagon, that is the distance between the center of the polygon, and the middle point of each side, you can use the next formula:
- Apothem = Edge *

If we replace the value of the edge, we obtain:
- Apothem = 6 cm *

- Apothem = 11.2 cm (approximately).
With this data, we can find the area:
- Area of a dodecagon = 6 * apothem * edge
- Area of a dodecagon = 6 * 11.2 cm * 6 cm
- Area of a dodecagon = 403.2

Then,<u> the area of the dodecagon is 403.2 </u>
<u> approximately</u>.
B.) As the area obtained is for 12 pieces, when the parents ate 9 pieces, just left 3 pieces, with these values you can make a rule of three.
If:
- 12 pieces = 403.2

- 3 pieces = X
Then:
- X = (3 * 403.2
) / 12 - X = 1209.6
/ 12 - X = 100. 8
In this form, <u>when the cookie has 3 pieces, its area is 100. 8 </u>
<u> approximately</u>.
Answer:
(D) t^4
Step-by-step explanation:
You have defined ...
a3 = a2·a1
a4 = a3·(a2·a1) = a3²
a5 = a4·(a3·a2·a1) = a4² = (a3²)² = a3⁴
Then if a3 = t, a5 = t⁴
y = 8
x = 575
We want to solve for b in the slope-intercept form y = mx + b.
To complete this problem, we need the value of m, the slope. If you know m, then just plug into y = mx + b this way:
8 = 575m + b