Answer:

Step-by-step explanation:
Standard form:

Vertex form:

(h, k) is the vertex
x is the coordinate of the vertex
To find x use the formula:


a=1
b=-2
c=-6
Substitute:

Substitute x in equation:

h=1
k=-7
Substitute h, and k into the vertex formula:

4 Standard drinks he has consumed in over a two - hour time period.
<h3>What is Unitary Method?</h3>
The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
For example: 5 cars have price of $500. what will be the price of 10 cars.
Now, we know
5 cars → $500
1 car → $500/5
1 car → $100
10 cars → 8 x $100
10 cars → $800
The standard drink contains 12 - ounce of beer.
Here, we have given 1 red cup which has 16 - ounce of beer.
He has 3 red cups.
So, total ounce of beer he has consumed in two hour time period:
16 x 3 = 48 ounce of beer.
Now, as we know standard drink contains 12 - ounce of beer.
so, Number of standard drink = 48/12 = 4
Hence, 4 Standard drinks he has consumed in over a two - hour time period.
Learn more about " Unitary Method " from here: brainly.com/question/28276953
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Answer:
the third option - they are perpendicular to each other.
Step-by-step explanation:
for a perpendicular slope we need to exchange the x and y values (remember, a slope is the ratio of y/x) and flip the sign.
and that is exactly what happened here.
Answer:

Step-by-step explanation:



Substitute
into second equation:




Substitute
and
into the third equation:



Substitute
into
:

Plug in y and z values into
:

I guess no solution
4x +3 = 4X + 18
4X - 4X = 18 - 3
0 = 15