A² + b² = c²
8² + x² = 16²
x² = 16² - 8²
x² = 192
x =√192
x =8√3
Answer:
y = x+1
Step-by-step explanation:
Slope-intercept form
(y = mx+b)
m = slope and b = y-intercept
The line crosses the y-axis at (0, 1), therefore the y-intercept (b) = 1
The slope (m) = 1
Because the slope is 1, it does not need to be written in the equation, as any number multiplied by 1 is that number.
Step #1 for both: figure out which interval your x-value fits into.
For f(-2), x=-2 and -2 fits with x ≤ -2, the top interval.
For f(3), x=3 and 3 fits into -2 < x ≤ 3, the middle interval.
Step #2 for both, plug in your x-value to the piece of the function that fits with that interval.
For f(-2), we know x≤-2, so we use 2x+8 to evaluate x=-2.
For f(3), we know -2
f(-2) = 2(-2)+8 = -4+8 = 4
f(3) = (3)^2 -3 = 9-3 = 6
