By the Pythagorean Theorem:
24^2+d^2=25^2
576+d^2=625
d^2=49
d=√49
d=7 ft
9514 1404 393
Answer:
y = 1/2x + 1
Step-by-step explanation:
The slope of the line is "rise"/"run", where "rise" is the vertical distance between two points separated by a horizontal distance of "run".
Here, two points are marked that are 4 units apart horizontally (run = 4). The right-most point is 2 units above the left-most point (rise = 2). The slope between these points is ...
m = rise/run = 2/4 = 1/2
The line crosses the y-axis at y=1, so the "y-intercept" is b=1.
These values can be put into the "slope-intercept form" equation for a line.
y = mx + b . . . . . . line with slope m and y-intercept b
y = 1/2x + 1 . . . . . matches the required answer form
The answer is 6(3) equal 18
Step-by-step explanation:
You have to use logarithms.
1) a = log_3 (1/27) = -log_3 (27) = -3
2) b = log_3 (9 * 3^(1/2)) = log_3 (3 ^ {5/2}) = 5/2
3) c = -log_3 (sqrt3) = -1/2
