The common difference in this sequence is -16 because each number decreases by 16 from the last
Answer:
(a) y = -3/5 x + 13/5
(b) y = 5/3 x + 1/3
Step-by-step explanation:
(a) The slope of the tangent line is dy/dx. Use implicit differentiation:
x² + y² + 4x + 6y − 21 = 0
2x + 2y dy/dx + 4 + 6 dy/x = 0
2x + 4 + (2y + 6) dy/dx = 0
x + 2 + (y + 3) dy/dx = 0
(y + 3) dy/dx = -(x + 2)
dy/dx = -(x + 2) / (y + 3)
At the point (1, 2), the slope is:
dy/dx = -(1 + 2) / (2 + 3)
dy/dx = -3/5
Using point-slope form of a line:
y − 2 = -3/5 (x − 1)
Simplifying to slope-intercept form:
y − 2 = -3/5 x + 3/5
y = -3/5 x + 13/5
(b) The normal line is perpendicular to the tangent line, so its slope is 5/3. It also passes through the point (1, 2), so point-slope form of the line is:
y − 2 = 5/3 (x − 1)
Simplifying to slope-intercept form:
y − 2 = 5/3 x − 5/3
y = 5/3 x + 1/3
Answer
B
Step-by-step explanation:
Its B because you get 10% of that energy back when you eat it so no matter what its 10% available so its the same amount of energy available
Answer:
Add the similar elements
Step-by-step explanation: Further steps
Divide both sides by 4
Simplify
Answer:
9 cm
Step-by-step explanation:
The volume (V) of a cube is calculated as
V = s³ ← s is the side of the cube
Given V = 729, then equating gives
s³ = 729 ( take the cube root of both sides )
s = ![\sqrt[3]{729}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B729%7D)
= 9
