Answer: m=6, m=-4
Step-by-step explanation:
To solve this proportion, we have to cross multiply.
Now that we have cross multiplied, we actually need to FOIL the left side to expand the equation.
Combine like terms.
We can move all terms to one side and then solve for m.
We can actually factor this to:
We set each factor equal to 0 to find m.
m-6=0
m=6
m+4=0
m=-4
Regina can take yoga classes at community center as it would cost her less money.
Step-by-step explanation:
No. of classes per week = 2
Classes in 6 weeks = 2*6 = 12 classes
Cost of classes at community center = $72
Additional one time fee = $12
Total cost at community center = 72+12 = $84
Cost per class at local gym = $8
Cost of 12 classes = 12*8 = $96
Regina can take yoga classes at community center as it would cost her less money.
Keywords: addition, multiplication
Learn more about addition at:
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16 length height bc it’s a triangle so the triangle will be 17 feet tall and long
Answer:
See the verification below.
Step-by-step explanation:
Starting expression: 
Extract from the expression on the left of the equal sign the common factor "sin(x)":
![sin^3(x)+sin(x)\,cos^2(x)=sin(x)\\sin(x)[sin^2(x)+cos^2(x)]=sin(x)](https://tex.z-dn.net/?f=sin%5E3%28x%29%2Bsin%28x%29%5C%2Ccos%5E2%28x%29%3Dsin%28x%29%5C%5Csin%28x%29%5Bsin%5E2%28x%29%2Bcos%5E2%28x%29%5D%3Dsin%28x%29)
Now use the Pythagorean trigonometric identity: 
to replace the expression in between square brackets with "1":
![sin(x)[sin^2(x)+cos^2(x)]=sin(x)\\sin(x) \,[1]=sin(x)\\sin(x)=sin(x)](https://tex.z-dn.net/?f=sin%28x%29%5Bsin%5E2%28x%29%2Bcos%5E2%28x%29%5D%3Dsin%28x%29%5C%5Csin%28x%29%20%5C%2C%5B1%5D%3Dsin%28x%29%5C%5Csin%28x%29%3Dsin%28x%29)
Therefore we have verified the identity
Answer:
The number of child tickets = 39
Step-by-step explanation:
It is given that,child admission is $5.20 and adult admission is $8.60
Total sales = $868.00
<u>To find the number of child tickets</u>
Le 'x' be the number of children then number of adults = 2x
(x * 5.20) + (2x * 8.60) = 868
5.2x + 17.2x = 868
22.4x = 868
x = 868/22.4
= 38.75 ≈ 39
Therefore the number of child tickets = 39
