Lan is 146 centimeters tall now.
<u><em>Explanation</em></u>
Let, Lan's current height is 
centimeters
As Lisa is 6 centimeters taller than Lan and Lan is 10 centimeters taller than Jim, so Lisa's current height = 
centimeters and Jim's current height = 
centimeters.
Every month, their heights increase by 2 centimeters.
So, after 5 months.....
Lan's height = 
centimeters,
Lisa's height = 
centimeters and
Jim's height = 
centimeters
Given that, the sum of Ian's and Jim's heights will be 140 centimeters more than Lisa's height in 5 months. So the equation will be....
So, the current height of Lan is 146 centimeters.
9514 1404 393
Answer:
a) 12
b) y +5 = 12(x +2)
Step-by-step explanation:
The slope of a function is its derivative.
a) The slope of y = x^3 +3 at any point is y' = 3x^2. So, at the point where x=-2, the slope of the curve is ...
m = 3(-2)^2 = 12 . . . . slope at (-2, -5)
__
b) The equation of the tangent line is most easily written using the point-slope form of the equation of a line.
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y +5 = 12(x +2) . . . . line with slope 12 through point (-2, -5)
Answer:
h = 12
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
0.75h + 3 = 12
<u>Step 2: Solve for </u><em><u>h</u></em>
- Subtract 3 on both sides: 0.75h = 9
- Divide 0.75 on both sides: h = 12
<u>Step 3: Check</u>
<em>Plug in h into the original equation to verify it's a solution.</em>
- Substitute in <em>h</em>: 0.75(12) + 3 = 12
- Multiply: 9 + 3 = 12
- Add: 12 = 12
Here we see that 12 does indeed equal 12.
∴ h = 12 is a solution of the equation.
Answer:
A
Step-by-step explanation:
