Answer:
Vertex: (5, -9)
Step-by-step explanation:
fix = (x-8)(x-2)
fix = x^2 - 2x - 8x + 16
fix = x^2 - 10x + 16
a = 1, b = -10, and c = 16
To find vertex:
x = -b/2a
x = -(-10)/2(1)
x = 10/2
x = 5
y = 5^2 - 10(5) + 16
y = 25 -50 + 16
y = -9
Vertex: (5, -9)
9514 1404 393
Answer:
see below
Step-by-step explanation:
Starting from the point-slope equation ...
y -y1 = m(x -x1)
Solving for y gives ...
y = mx +(y1 -m·x1)
So, the slope-intercept form equation is fairly easily found:
y = mx +b . . . . where m = m, and b = y1-m·x1
This is the equation we have used for 'b' in the attached spreadsheet.
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Of course, the formula for slope is ...
m = (y2 -y1)/(x2 -x1)
This is the equation we have used for 'm' in the attached spreadsheet. For all problems, we have used the first point. (It doesn't matter which point you use if there are two of them.)
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The second attachment is the Google Sheets spreadsheet saved in ODS format. Most spreadsheet programs should be able to open that so you can see the formulas, if you're interested. (The gray values of m are computed using the two points. The unshaded values of m are entered by hand.)
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I'll write a couple of equations in each group so you can see how the spreadsheet numbers relate:
y = mx +b
1. y = 2x -7
3. y = 2/3x +4
8. y = 1/3x -5
9. y = -5/2x +4
Answer:
1,715 feets
Step-by-step explanation:
Give the following :
General descent rate of hot air balloon = 200 - 400ft/min
Six balloons descend at a rate of 245 ft/min for four minutes
The total change in altitude for all six balloons :
From speed = distance / time
Speed = 245 ft / min ; time = 7 minutes
Hence distance descended by the six balloons :
245 ft/min × 7 minutes = 1,715 fts
Hence total change in altitude = 1,715 feets
Answer:
55/100
Step-by-step explanation:
rule is to shift 8 units left & , shift 2 units down , Correct option C) T<-8,-2> (Jessica) ,
<u>Step-by-step explanation:</u>
Here we have , Jessica was sitting in row 9, seat 3 at a soccer game when she discovered her ticket was for row 1, seat 1. We need to Write a rule to describe the translation needed to put her in the proper seat. Let's do this:
Suppose the above problem in coordinate system where we have a point
, And we need to write rule for translation of this point to
.
Let ,
, Now shift 8 units left i.e.
⇒ 
⇒ 
⇒ 
Now , shift 2 units down i.e.
⇒ 
⇒ 
⇒ 
Therefore , rule is to shift 8 units left & , shift 2 units down , Correct option C) T<-8,-2> (Jessica) ,