<h2><u>DISTRIBUTIVE PROPERTY</u></h2>
The distributive property indicates that multiplying a number by the sum of two addends is equal to multiplying each addend individually by the number and then adding the products together.
In general terms:
<h3>m(n + p) = mn + mp</h3>
<u>In this exercise</u>:
Let's apply the distributive property:



<h3><u>Answer</u>: 6w - 10y</h3>
Answer:

Step-by-step explanation:
The manufacturing plant earned $80 per man-hour of labor when it opened
The plant earns an additional 5% for every additional man-hour t.
This can be modeled using the function:

where Initial Amount Earned, P=80
Rate of Increase, r=5%=0.05
Therefore, the function that models the amount earned at any time t is:

Answer:
Sin A = o/h
= 9/41
Step-by-step explanation:
since Sin is equal to opposite over hypotenuse, from the question, the opposite angle of A is 9 and hypotenuse angle of A is 41. Thus the answer for Sin A= 9/41
Answer: Options 1, 3, 5
Step-by-step explanation:
Perpendicular lines have slopes that are negative reciprocals, so since the slope of the given line is 1/3, we need to find lines with a slope of -3.
- Option 1 has a slope of -3.
- Option 2 has a slope of 3.
- Option 3 has a slope of -3.
- Option 4 has a slope of 1/3.
- If we subtract 3x from both sides, we get y=-3x+7, so option 5 has a slope of -3.
Answer:
x = 27
Step-by-step explanation:
AC // DE
m∠ABD ≅ m∠BDE = 72°
m∠ADB + m∠BDE + m∠EDF = 180°
2x + 72° + 2x = 180°
4x = 108°
x = 27°