Split the figure into 2 shapes a rectangle and a triangle.
Area of rectangle = 7 x 6 = 42 square units.
Area of triangle = 1/2 x 3 x 6 = 9 square units.
Total area = 42 +9 = 51 units^2
Answer:
a = 7 and b = - 18
Step-by-step explanation:
If (x - 1) is a factor of f(x) then x = 1 is a root and f(1) = 0, thus
f(1) = 1³ + 10(1)² + a + b = 0 and
1 + 10 + a + b = 0 ⇒ a + b = - 11 → (1)
Similarly if
(x + 2) is a factor then x = - 2 is a root and f(- 2) = 0
f(- 2) = (- 2)³ + 10(- 2)² - 2a + b = 0, thus
- 8 + 40 - 2a + b = 0 ⇒ - 2a + b = - 32 → (2)
Solve (1) and (2) simultaneously
Subtract (1) from (2)
- 3a = - 21 ( divide both sides by 3)
a = 7
Substitute a = 7 in (1)
7 + b = - 11 ⇒ b = - 11 - 7 = - 18
The required polynomial is
f(x) = x³ + 10x² + 7x - 18
* (in this question they didn't give me the volume of the cylinder or the height of the cylinder) -- the volume and height are NOT relevant.
<span>the ball is 7.2 cm in diameter. Hence its volume is 4*(3.6)^3 * π/3 </span>
<span>So, the volume the water occupies increases by this amount. </span>
<span>because the tank is cylindrical, this increase must also be cylindrical. </span>
<span>and the volume of the ïncreased cylinder is π*15^2 * h, where h is the increase in height of the water. </span>
<span>so h = (4*(3.6)^3 * π/3)/(π*15^2) = 4*(3.6)^3/(3*15^2)</span>
Answer:
Graph
Step-by-step explanation:
for 5 tickets it would cost $40 but on the graph it shows $1.
Answer:
Step-by-step explanation:
Increases in obesity and diet-related diseases are major health problems in the ... the last 20 years there has been a dramatic increase in the nation's obesity rates, ... 2 diabetes, increased health-care costs, reduced quality of life and increased ... to come up with solutions to help the food desert that is closest to their school.