Answer:
The answer to which expression is equivalent to 2(a+3b) is 2a+6b
I thick it's c but please don't put it if it is wrong
Answer:
=Y2-10Y
We move all terms to the left:
-(Y2-10Y)=0
We add all the numbers together, and all the variables
-(+Y^2-10Y)=0
We get rid of parentheses
-Y^2+10Y=0
We add all the numbers together, and all the variables
-1Y^2+10Y=0
a = -1; b = 10; c = 0;
Δ = b2-4ac
Δ = 102-4·(-1)·0
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
Y1=−b−Δ√2aY2=−b+Δ√2a
Δ‾‾√=100‾‾‾‾√=10
Y1=−b−Δ√2a=−(10)−102∗−1=−20−2=+10
Y2=−b+Δ√2a=−(10)+102∗−1=0−2=0
3(x-2) = x + 4 ...............given
3x - 6= x + 4 .................distributive property
2x - 6 = 4 ......................addition property of equality
2x = 10 .........................addition property of equality
x = 5 ..............................division property of equality
Basically, when dealing with measurement problems such as these you ALWAYS need to have a key, or keys. The key(s) in this situation would be: 1 inch equals 12 feet, and 12 inches equals 1 foot. Now what you need to do is solve. So, width of the building's lot is 114 feet. You want to divide that by twelve because, remember one of the key(s) is 1 inch=12 feet. So the twelve you are dividing by is the 1 inch= 12 feet equation. Now when you divide 114÷12, you get the answer of 9.5, AKA 9 1/2. And now to check the answer, multiply 9.5 with 12, and that would give you 114. I hope this helps!
