Answer:
Step-by-step explanation:
Diameter d = 2.5 inches
Height h = 4 inches
Lateral area = πdh =π(2.5)(4) = 10π ≈ 31.4 square inches
Answer:
4 right; 4 up
Step-by-step explanation:
The difference between the two points is ...
P'(1, 5) -P(-3, 1) = (1-(-3), 5-1) = (4, 4)
The translation is 4 units to the right and 4 units up.
Answer:
y = 3x + 2
Step-by-step explanation:
First you want to know what the slope intercept form is. y = mx + b. Now take two points from the table and put them in the equation and get the slope of 3. Now we have y = 3x + b. To find b we need to plug in any point into the equation. I chose (-1, -1). -1 = 3(-1). Solve and you get 2. Now we are left with y = 3x + 2
Answer:
2a + 7
Step-by-step explanation:
-3a + 7 +5a
<em>subtract the negative 3 from the 5</em>
2a + 7
Answer:
Step-by-step explanation:
The average value theorem sets:
if f (x) is continuous in [a, b] and derivable in (a, b) there is a c Є (a, b) such that
, where
f(a)=f(π/2)=-4*sin(π/2) = -4*1= -4
f(b)=(3π/2)=-4*sin(3π/2) = -4*-1 = 4


⇒

c≅130