Value of x is used to consider unknown value. The letter “x” is commonly used in algebra to indicate an unknown value. It is referred to as a “variable” or, in some cases, a “unknown.” In x + 2 = 7, x is a variable
Answer:
y = 14
Step-by-step explanation:
∠BCF and ∠EFH are same side interior angles and are supplementary, hence
5x - 66 +2x + 50 = 180
7x - 16 = 180 ( add 16 to both sides )
7x = 196 ( divide both sides by 7 )
x = 28
∠BCF = 5x - 66 = (5 × 28) - 66 = 140 - 66 = 74
∠ACD = ∠BCF ( vertical angles ), hence
9y - 52 = 74 ( add 52 to both sides )
9y = 126 ( divide both sides by 9 )
y = 14
Answer:
.66
Step-by-step explanation:
Her next step is to repeat the last process of drawing those two arcs. However, they will be mirrored since she swapped endpoints.
Check out the diagram below. Figure 1 is what she already has. Figure 2 is what happens after completing the next step. The red and blue arcs intersect to help form the endpoints of the perpendicular bisector. I used GeoGebra to make the diagrams.
Answer:
Step-by-step explanation:
Vertex form is accomplished by completing the square on the quadratic. Do this by first setting the parabola equal to 0 then moving the constant over to the other side:

Now take half the linear term, square it, and add it to both sides. Our linear term is 6. Half of 6 is 3, and 3 squared is 9:

The reason we do this is to create a perfect square binomial on the left:
(obviously the 0 results from the addition of 9 and -9). Move the 0 back over to the other side and set the quadratic back equal to y:

This gives you a vertex of (-3, 0), which is a minimum value, since the parabola opens upwards.