Here is the problem.....√(15x + 10) = 2x+3
to remove the square root, we do the opposite which is to square everything.
(√(15x + 10))² = (2x + 3)² (the square negates the square root)
15x + 10 = (2x +3)(2x + 3) (use the distributive property to continue)
15x + 10 = 4x² + 6x + 6x + 9 (combine like terms)
15x + 10 = 4x² + 12x + 9 (subtract 15x and 10 from each side)
-15x - 10 -15x - 10
0 = 4x² - 3x - 1 (factor completely)
(x - 1) (4x + 1) (set each to equal 0)
x - 1 = 0 4x + 1 = 0
x = 1 4x = -1
x = -1/4
place both into the equation to check for reasonableness...we see the negative number is not reasonable, but the x value of 1 is a solution.
answer is 1
Answer:
x=11.2
Step-by-step explanation:
Set up a proportion:
x+11/36 = 37/60
Cross multiply:
1332=60(x+11)
Distribute:
1332=60x+660
Subtract 660 from 1332
672=60x
Divide:
x=11.2
I'm not sure if this is the correct answer but I hope this helps! :)
Correct me if I'm wrong!
The product would be 76 if you are looking for the answer of 4•19
Answer:
Blank 1: opposite
Blank 2: adjacent
Blank 3: opposite
Blank 4: adjacent
Step-by-step explanation:
There is a trigonometric acronym for this which is:
Soh Cah Toa
Soh means that sine is opposite over hypotenuse.
Cah means that cosine is adjacent over hypotenuse.
Toa means that tangent is opposite over adjacent.
Let me actually write these out as fractions:
sine is 
cosine is 
tangent is 
Blank 1: opposite
Blank 2: adjacent
Blank 3: opposite
Blank 4: adjacent
33: 21 ...........................................