21/22
use y2-y1 / x2-x1
(9-(-12)) / (3-(-19))
21/22
Answer:
(f + g)(x) = 3x² + x + 5
(f - g)(x) = 3x² - x - 3
Step-by-step explanation:
(f + g)(x) → f(x) + g(x) → <u>3x² + 1</u> + <u>x + 4</u>
Combine like terms and you get: 3x² + x + 5
(f - g)(x) → f(x) - g(x) → <u>3x² + 1</u> - (<u>x + 4</u>)
Remember to distribute the neg. everything in the parentheses. Combine like terms and you get: 3x² - x - 3
Answer:
Distance between the points A and B is 15.52 units.
Step-by-step explanation:
It has been given in the question that an airplane flies along a straight line from City A to City B.
Map has been laid out in the (x, y) coordinate plane and the coordinates of these cities are A(20, 14) and B(5, 10).
Distance between two points A'(x, y) and B'(x', y') is represented by the formula,
d = 
So we plug in the values of (x, y) and (x', y') in the formula,
d = 
d = 
d = 
d = 15.52
Therefore, distance between the points A and B is 15.52 units.
Step-by-step explanation:
We have,
Diameter of cylinder, d = 39.2 mm
Radius, r = 19.6 cm
Height of the cylinder, h = 39.2 mm
It is required to find the surface area of this cylinder. The formula of the surface area of cylinder is given by :

Putting all values we get :
