Answer:
Step-by-step explanation:
<h3>Arithmetic sequence:</h3>
6th term is 14 ⇒ 
a + (6 - 1)d = 14
a + 5d = 14 --------------(I)
14th term is 6 ⇒
a + (14-1)d = 6
a + 13d = 6 ----------------(II)
Subtract equation (II) from equation(I)
(I) a + 5d = 14
(II) a + 13d = 6
<u>- - -</u>
-8d = 8
d = 8 ÷(-8)
Plugin d = -1 in equation (I)
a + 5(-1) = 14
a -5 = 14
a = 14 + 5
20th term:
= 19 - 19
0.4(2x+1/2) = 3[0.2x-2]-4
0.8x+0.2 = 0.6x-6-4 Distribute it out
0.8x+0.2 = 0.6x-10 Combine like terms
0.2x = -10.2 Subtract 0.6x and 0.2 from both sides
x = -51 Multiply both sides by 5
The line of the equation would be y = -1/4x + 11/16.
In order to find that, we'll put the ordered pair and the slope into slope intercept form. Then we can solve for the intercept.
y = mx + b
1 = -1/4(-5/4) + b
1 = 5/16 + b
11/16 = b
So then we put that in the equation with slope for the final equation.
We know that
[area of a circle ]=pi*r²
diameter=4 in
r=4 in/2-----> 2 in
so
area=pi*2²-----> area of the circle=4*pi in²
the answer is
the area, in square inches, of the circle is <span>3.14 • 2²</span>
