Step-by-step explanation:
log2x = 1 - log(x+4)
log2x = log10 - log(x+4)
log2x = log[10/(x+4)]
2x = 10/(x+4)
2x(x+4) = 10
2x² + 8x - 10 = 0
÷2 both sides of equation
x² + 4x - 5 = 0
(x+5)(x-1) = 0
x = -5, 1
x isn't be -5 because logA, A need to be > 0
So, x value is 1
Distance from base = 305 / tan(29.5deg)
= 539 ft
Answer:
8. (0,-2)
9. (-2,1)
Step-by-step explanation:
Lucy's house is at (1,1)
Down means in the y coordinate , left means negative x
Down 3 means subtract 3 from y
left 1 means subtract 3 from x
(1-1, 1-3)
(0,-2)
9. Lucy is at (1,1)
3 units to the left
left means subtract 3 from x
(1-3, 1)
(-2,1)
<h3>
Answer: 
</h3>
The -3 is not in the exponent
Explanation:
The parent function is 
. Plugging in x = 0 leads to y = 1. So the point (0,1) is on the f(x) curve. Going from (0,1) to (0,-2) is a vertical shift of 3 units downward. To represent this shift, we tack on a "-3" at the end of the f(x) function.
You could look at other points as well, but I find working with x = 0 is easiest.
As a check, plugging x = 0 into g(x) leads to...
This confirms our answer.
Answer:
1. Formula: b * h ÷ 2
12 * 3 = 36 ÷ 2 = 18 in^2
2. Formula: b * h ÷ 2
5 * 8 = 40 ÷ 2 = 20 ft^2
I could only help on two. Hope it helps though! =)
