Answer:
see attached
Step-by-step explanation:
Here's your worksheet with the blanks filled.
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Of course, you know these log relations:
log(a^b) = b·log(a) . . . . . power property
log(a/b) = log(a) -log(b) . . . . . quotient property
log(x) = log(y) ⇔ x = y . . . . . . . . . equality property
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:
The other length of the leg is <em>8 feet.</em>
Step-by-step explanation:
To find the answer we have to find what<em> 10</em> and <em>6 is squared.</em> <em>10 x 10 = 100</em>.
<em>6 x 6 = 36. </em>Now since we are trying to find the length of the other leg, we will <em>subtract 100 from 36</em> and we get <em>64</em>. Then for the last step, we will figure out what number<em> squared equals 64.</em> Because 8 x 8 = 64, <em>8 is our answer.</em>
Answer:
x = 7
Step-by-step explanation:
Pytago:
