Answer:
k(x) = x² + 5
Step-by-step explanation:
Given f(x) then f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Here the shift is 2 units up, hence
k(x) = f(x) + 2 = x² + 3 + 2 = x² + 5
Answer:
y + 6 = (-8/5)(x - 1) in point-slope form
Step-by-step explanation:
Moving from the 1st point to the first, we see that x (the 'run') increases by 5 from -4 to 1, and y (the 'rise') decreases by 8. Thus, the slope of the line through these two points is m = rise / run = -8/5
Now we have two points on the line, plus the slope. Let's write out the point-slope formula for the equation of a straight line:
y - k = m(x - h), where (h, k) is a point on the line and m is the slope of the line.
Here, using the point (1, -6), we obtain:
y + 6 = (-8/5)(x - 1) in point-slope form
Answer:
So ofc it's third
Step-by-step explanation:
You'll need to use the Pythagorean theorem:
a²+b²=c²
36² + 15² = c²
1296 + 225 = c²
1521 = c²
= 39
Answer:
100
Step-by-step explanation:
If you need to find the length of the hypotenuse of a right triangle, you can use the Pythagorean theorem if you know the length of the other two sides. Square the length of the 2 sides, called a and b, then add them together. Take the square root of the result to get the hypotenuse.
Answer:
54
Step-by-step explanation: