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
Answer:
<u>x = 54 and none of the alternatives given is correct</u>
Step-by-step explanation:
Let's solve for x in the equation given, this way:
2/3 ÷ 3x = 12
2/3 * x/3 = 12
2x/9 = 12
2x = 108
x = 108/2 = 54
Proof of x = 54
2/3 * 54/3 = 108/9 = 12
<u>x = 54 and none of the alternatives given is correct</u>
Answer is 1 and 3. You’re welcome.
