Step-by-step explanation:
<u>Given:</u>
- Rule, x + 7.
- Table values.
The rule is telling us to add 7 to the given value of x.
Add 7 to 12.

The missing number is 19.
Use slope formula: y2-y1/x2-x1
XZ: -5/9
YZ: 2/7
XY: -7/2
XYZ is a right triangle because two of these slopes have a product of -1.
(YZ and XY does). We are all busy these days.
Answer:
20
Step-by-step explanation:
x/2+15=25
x/2=10
x=20
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Answer:
The y-value of the vertex is 
Step-by-step explanation:
we know that
The equation of a vertical parabola into vertex form is equal to

where
(h,k) is the vertex of the parabola
In this problem we have
-----> this a vertical parabola open upward
Convert to vertex form
Group terms that contain the same variable, and move the constant to the opposite side of the equation

Factor the leading coefficient

Complete the square. Remember to balance the equation by adding the same constants to each side


Rewrite as perfect squares


The vertex is the point 
The y-value of the vertex is 