Answer:
1.02
Step-by-step explanation:
Answer:
m = 1 + 2log(x)/log(y)
Step-by-step explanation:
Taking logarithms, you have ...
log(x) +m·log(y) = log(y) +3log(x)
m·log(y) = log(y) +2·log(x) . . . . subtract log(x)
m = (log(y) +2·log(x))/log(y) . . . divide by the coefficient of m
m = 1 +2·log(x)/log(y) . . . . . . . simplify a bit*
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* The "simplified" form will depend on your preference. Here, I like the integer 1 brought out because most logs are irrational. The result may be very slightly more accurate if we add 1, rather than log(y)/log(y)--depending on your calculator.
If it's parallel to that equation, then that means the slope must be the same
Using the equation they gave us, we find the slope:
3+4x=2y-9
12+4x=2y
y=2x+6 (I just rearranged it after dividing both sides by 2)
Therefore, the slope of the equation is 2
So y=2x+b
Then they gave us the point (4,-4) and we can use that to find the intercept by plugging the values in for x and y:
-4=2(4)+b
-4=8+b
b=-12
So the equation is y=2x-12
Answer:
9.9 inches
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh where b is the length of the base and h is the length of the height
49 = 1/2 x*x
Multiply each side by 2
2*49 = x^2
98 = x^2
Take the square root of each side
sqrt(98) = sqrt(x^2)
9.899494937 =x
Rounding to the nearest tenth
9.9 =x
Answer:
6.5 ft ft
Step-by-step explanation:
Angle L will be 180-90-76=14
Using the sine rule 
Relating to the above set up

Taking only the first two parts then

Therefore, rounded off to the nearest tenth, distance will be 6.5 ft