Answer:
A. y=-1/3x+10
Step-by-step explanation:
Perpendicular gradients(slopes) are negative reciprocals so
m=-1/3 then use the point (6,8) to find the equation of the line
y=mx+b
8=(-1/3)(6)+b
8=-2+b
b=10
y=-1/3x+10
Answer:
Step-by-step explanation:
Given the sequence :
23, 19, 13, 5, -5.......
From the sequence, the common difference is unequal, as their is a constant Increment in the difference after successive numbers.
19 - 23 = -4
13 - 19 = -6
5 - 13 = -8
-5 - 5= -10
Hence an constant difference of - 2 after each successive difference.
Hence, this is a quadratic sequence
With the formula
an² + bn + c
P = 2(L + W)
L = W + 5
A = 4P + 2
P = 2(W + 5 + W)
P = 2(2W + 5)
P = 4W + 10
A = 4P + 2
A = 4(4W + 10) + 2
A = 16W + 42
A = L * W
A = W(W + 5)
A = W^2 + 5W
W^2 + 5W = 16W + 42
W^2 + 5W - 16W - 42 = 0
W^2 - 11W - 42 = 0
(W + 3)(W - 14) = 0
W - 14 = 0
W = 14 <==
L = W + 5
L = 14 + 5
L = 19 <==
P = 2(19 + 14)
P = 2(33)
P = 66
A = L * W
A = 19 * 14
A = 266
answer : length = 19, width = 14....perimeter = 66....area = 266
Answer:
$969.04
Step-by-step explanation:
now at age of 18 Brad has 1500 * 1,065^18
at age of 21 he will have 1500 * 1,065^21
if he waits the difference will be 1500 * 1,065^21 - 1500 * 1,065^18 = $969.04
