Answer:
log1/8
Step-by-step explanation:
Answer:
the answer is n=4
Step-by-step explanation:
Answer:
x= -9
Step-by-step explanation:
1. distribute
3(+1)=2(−3)
so it would look like this:
3+3=2x-6
2. subtract 3 from both sides
It would look like this:
3x=2x-9
3. subtract 2x from both sides
It would look like this:
x= -9
And that is your answer!!
Answer:
L = 20 inches
Step-by-step explanation:
w = width
L = length
area = 120
W x L = 120
L - 8 = 2W then L = 2W + 8
substitute for L:
W x (2W + 8) = 120
2W² + 8W -120 = 0
(2W - 12)(W + 10) = 0
2W-12 = 0
2W = 12
W = 6
L = 20
Set the to equal:
x^2 - 4x+4 = 2x-4
solve for X
subtract 2x from each side:
x^2 -6x + 4 = -4
subtract 4 from each side:
x^2 -6x = -8
add 8 to both sides:
x^2 -6x +8 = 0
factor the polynomial:
x = 4 and x = 2
using the line equation replace x with 2 and 4 and solve for y
y = 2(2) - 4 = 0
y = 2(4)-4 = 4
so the 2 points the line crosses the curve is (2,0) and (4,4)
using those 2 points you can calculate the length:
distance = sqrt((x2-x1)^2 +(y2-y1)^2
distance = sqrt( (4-2)^2 + (4-0)^2)
distance = sqrt (2^2 + 4^2)
distance = sqrt (4+16)
= sqrt 20
= 2 sqrt(5) EXACT LENGTH