Let the five terms be: a, a + d, a + 2d, a + 3d, a + 4d, then
a + a + d + a + 2d + a + 3d + a + 4d = 5a + 15d = 40
i.e. a + 3d = 8
Also, (a + 2d)(a + 3d)(a + 4d) = 224
(a + 3d - d)(a + 3d)(a + 3d + d) = 224
(8 - d)(8)(8 + d) = 224
(8 - d)(8 + d) = 224/8 = 28
64 - d^2 = 28
d^2 = 64 - 28 = 36
d = sqrt(36) = 6
But a + 3d = 8
a + 3(6) = 8
a = 8 - 18 = -10
Therefore, the term of the sequence is: -10, -10 + 6, -10 + 2(6), -10 + 3(6), -10 + 4(6)
= -10, -4, -10 + 12, -10 + 18, -10 + 24
= -10, -4, 2, 8, 14
Answer: The perimeter of Martha's wooden border = 44 feet.
Step-by-step explanation:
Given: The formula to find the perimeter = 2w + 2l. , where w = width and l = length
If l= 12 feet and w = 10 feet
Then, the perimeter of Martha's wooden border = 2(10)+2 (12) feet
The perimeter of Martha's wooden border = 20+24 feet
The perimeter of Martha's wooden border = 44 feet
Therefore, the perimeter of Martha's wooden border = 44 feet.
The pattern having the fastest growth rate is :
Answer:
Graph the equations
Step-by-step explanation:
x - y = 1
3x + 2y = - 12
Rewrite equations into y=mx+b form:
y = -1 + x
y = -6 - 1.5x
Graph it!
Answer: Circumcenter
Step-by-step explanation: The circumcenter is the point where all perpendicular bisectors of a triangle meet. The 3 perpendicular bisectors of the 3 sides of the triangle meet at the point which is labeled in this triangle as H.
