Answer: x = 1.32 and x= 0.076
Step-by-step explanation:
4x(5x-2) = 20x-2
20x^2-8x = 20x-2
20x^2-8x-20x+2=0
20x^2-28x+2=0
Using quadratic equation
x = (-b +or- √(b^2-4ac))/2a
a =20, b=28, c= 2
Substitute into the equation
x= (7+√39)/10. = 1.32
x = (7-√39)/10 = 0.076
Answer:
127 inches
Step-by-step explanation:
A single yard is equal to 3 feet. So one yard 1 foot and 9 inches is:
and 9 inches.
each feet has 12 inches, so it goes something like this:
inches
multiply it out:

Thats the total number of inches, now we divide by 3 (use long division:

Hope this helps!
Answer:
21,42,84,168,336,672, 1,344
Step-by-step explanation:
The pattern is to multiply the previous term by 2 to find the next term. The seventh term should be 1,344.
Supposse that the distance from the point
to the point
is equal to the distance from
to the point
. Then, by the formula of the distnace we must have

cancel the square root and the
's, and then expand the parenthesis to obtain

then, simplifying we obtain

therfore we must have

this means that the points satisfying the propertie must have first component equal to 5. So we can give a lot of examples of such points:
. The set of this points give us a straight line and the points (3,0) and (7,0) are symmetric with respect to this line.