First you subtract 9x from y and you get 45 - 9x = -y and you don't want negatives so you switch all the signs to get y = -45 + 9x
This is the concept of geometry, we are required to calculate for the length of the shortest side. The shortest side is the side opposite to the smallest angle; Therefore using sine rule we shall have:
a/sin A=b/sinB=c/sinC
let a=20 and A=100
b=x and B=20
thus the shortest side will be given by:
20/sin 100=x/sin 20
x=(20sin 20)/100
x=6.95 feet
The answer is 6.95 feet
Perform indicated operations on left side
x*x+4x+4x+4*4=9
x^2+4x+4x+16=9 combine like terms on left side
x^2+8x+16=9 subtract 9 from both sides
x^2+8x+7=0 factor
x^2+x+7x+7=0
x(x+1)+7(x+1)=0
(x+7)(x+1)=0
x=-1, -7
Answer:
1. b.(03)
2. A.(6,12)
3. C.(10,-1)
4. (-9,2)
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Step-by-step explanation:
1.I will solve your system by substitution.
−x+2y=6;6y=x+18
Step: Solve−x+2y=6for x:
−x+2y+−2y=6+−2y(Add -2y to both sides)
−x=−2y+6
Divide by -1
x=2y−6\
Well I did this problem differently I substitute
Step: Substitute2y−6for x in6y=x+18:
6y=x+18
6y=2y−6+18
6y=2y+12
6y+−2y=2y+12+−2y
4y=12

y=3
Step: Substitute3 for y in x=2y−6:
x=2y−6
x=(2)(3)−6
x=0
Your final answer will be x=0 and y=3