1. Distributive Property.
<span>4(3a + 7) + 3(2a + 5)
12a + 28 + 6a + 20
2. Combine like terms
12a + 28 + 6a + 20
18a +48
The equivalent expression is 18a + 48. If a = anything then the expressions will still be equivalent.
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Confused what the question is. Are you looking for the product or the zeroes?
If you are looking for the product, then:
Use foil to get: sec²(1) - sec²(-csc²) -1(1) -1(-csc²)
= sec² + sec²csc² - 1 + csc²
= sec²csc² + sec² + csc² - 1
= sec²csc² + 1 - 1 (NOTE: sec² + csc² = 1 is an identity)
= sec²csc²
Answer: sec²csc²
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If you are looking for the zeroes, then:
Using the zero product property, set each factor equal to zero and solve.
<u>First factor:</u>
sec²Θ - 1 = 0
sec²Θ = 1
secΘ = 1, -1
remember that secΘ is 
= 1
= -1
cross multiply to get:
cosΘ = 1 cosΘ = -1
use the unit circle (or a calculator) to find that Θ = 0 and π
<u>Second factor:</u>
1 - csc²Θ = 0
1 = csc²Θ
1, -1 = cscΘ
remember that cscΘ is 
= 1
= -1
cross multiply to get:
sinΘ = 1 sinΘ = -1
use the unit circle (or a calculator) to find that Θ =
and
Answer: 0, π,
,
Answer:
d^2 = 30^2 + 12^2
e^2 = d^2 + 8^2
e^2 = 30^2 + 12^2 + 8^2
e = √(30^2 + 12^2 + 8^2) = 33.3 ft
Answer:
1/6
Step-by-step explanation:
1/3 + 1/2= <em>1</em><em>/</em><em>6</em><em>. </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>so</em><em> </em><em>1</em><em>/</em><em>6</em><em> </em><em>is</em><em> </em><em>the</em><em> </em><em>answer</em>
Given parameters:
Cost per pound of Arabica coffee = $28 per pound
Cost of Robusta coffee = $8.75
Given number of pounds of Robusta Coffee = 3 pounds
Total cost of blend per pound = $15.50
Unknown:
Number of pounds of Arabica coffee = ?
Solution:
Let the number of pounds of Arabica coffee = A;
We have to interpret this problem algebraically and solve;
28A + 8.75(3) = 15.5(A + 3)
Now solve the expression above for A;
28A + 26.25 = 15.5A + 46.5
28A - 15.5A = 46.5 - 26.25
12.5A = 20.25
A = 1.62
Number of pounds of Arabica Coffee is 1.62 pound