Answer:
C) The scale factor is 2
Step-by-step explanation:
The side length of the bigger pentagon is 2 times bigger than the smaller one, so C is correct.
<h2>
Linear Equations</h2>
Linear equations are commonly organized in slope-intercept form:
- <em>m</em> = slope
- <em>b</em> = the y-intercept (the value of y when x=0)
To find the equation of a line given two points:
- Determine the slope of the line using the slope formula
- Plug the slope into
- Determine the y-intercept by solving for <em>b</em>
- Plug the y-intercept back into the equation
<h2>Solving the Question</h2>
We're given:
- The line passes through the points (8,-45) and (2,-9)
First, determine the slope using the following formula:
where the given points are and
⇒ Plug in the given points (8,-45) and (2,-9):
Therefore, the slope of the line is -6. Plug this into as <em>m</em>:
Now, determine the y-intercept:
⇒ Plug in one of the given points as (x,y) and solve for <em>b</em>:
Therefore the y-intercept of the line is 3. Plug this back into :
<h2>Answer</h2>
Turn them into linear equation.
4y + x = -17
-x -x
4y = -x - 17
--- ---- ---
4 4 4
y = -1/4x - 17/4
-2y + 2x = 16
-2x -2x
-2y = -2x + 16
----- ---- -----
-2 -2 -2
y = 1x - 8
Solve for x.
-1/4x - 17/4 = 1x - 8
+1/4x +1/4x
-17/4 = 5/4x - 8
+8 +8
15/4 = 5/4x
------ -----
5/4 5/4
3 = x
Check:
-1/4(3) - 17/4 = 1(3) - 8
-3/4 - 17/4 = 3 - 8
-5 = -5
Answer:
3 smoothies
Step-by-step explanation:
1/2 goes into 1 1/2 3 times
Answer:
Step-by-step explanation:
Remark
The plan is to find the volume of one storage box. Then multiply by 6
Formula
1 storage box = 16.5 * 16.5 * 16.5
Solution
1 storage box = 16.5 * 16.5 * 16.5
1 storage box = 4492.125
6 storage boxes = 6 * 4492.125
6 storage boxes = 26952.75
Answer
Total Volume = 26952.75
No need to round at all. This already is at the nearest 1/100th