Answer:
Two lines, both in the same plane, that never intersect are called parallel lines. Parallel lines remain the same distance apart at all times.
Step-by-step explanation:
parallel lines.
Answer:
$1.30
Step-by-step explanation:
Let x = the cost of the pencil
Let x + .80 = the cost of the pen
Let 4(x + .80) = the cost of the binder
x + x + .80 + 4(x + .80) = 11.80
2x + .80 + 4x + 3.20 = 11.80
6x + 4.00 = 11.80
6x = 7.80
x = $1.30
x + .80 = $2.10
4(x + .80) = $8.40
3-4x=-6x^2
+6x^2=+6x^2
_____________
6x^2+3-4x=0
6x^2-4x+3=0
(-4)^2-4(6)(3)
16-72
Final Answer: -56
The easiest way to find the vertex is to convert this standard form equation into vertex form, which is y = a(x - h)^2 + k.
Firstly, put x^2 - 10x into parentheses: y = (x^2 - 10x) + 30
Next, we want to make what's inside the parentheses a perfect square. To do that, we need to divide the x coefficient by 2 and square it. In this case, the result is 25. Add 25 inside the parentheses and subtract 25 outside of the parentheses: y = (x^2 - 10x + 25) + 30 - 25
Next, factor what's inside the parentheses and combine like terms outside of the parentheses, and your vertex form is: y = (x - 5)^2 + 5.
Now going back to the formula of the vertex form, y = a(x - h)^2 + k, the vertex is (h,k). Using our vertex equation, we can see that the vertex is (5,5).
Answer:
since those 2 lines are parrelel that means the angles are the same so
8x+6=4x+38
minus 6
8x=4x+32
minus 4x
4x=32
divide by 4
x=8
Hope This Helps!!!
