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Vilka [71]
2 years ago
11

Which equation correctly represents the line graphed below?

Mathematics
1 answer:
Galina-37 [17]2 years ago
6 0

Answer:

C. y=3/2 x + 12

Step-by-step explanation:

lets find slope,

fr that first lets point out some coordinates passing the line: ( 0, 12 ), ( 2,15 )

now find slope using the equation : y -y1/ x - x1

                                                         = 15 - 12 / 2 -0 = 3/2

  • use any coordinates now to find the equation of line using formula:

y - y1 = m ( x - x1 )

y - 12 = 3/2 ( x - 0 )

y -12 = 3/2 x - 0

<em>y =</em> 3/2 x + 12

Therefore, y = 3/2 x + 12 is the equation of the line.

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13. Find the vertex of f(x)=x2 -6x +8 .
Mekhanik [1.2K]

9514 1404 393

Answer:

  a  (3,-1)

Step-by-step explanation:

The number that "completes the square" is the square of half the x-coefficient, (-6/2)^2 = 9. Rearranging the given function to include the square trinomial, we have ...

  f(x) = x^2 -6x +9 -1 . . . . . . . here, we have 8 = 9 - 1

  f(x) = (x -3)^2 -1 . . . . . . . . . . vertex form

Comparing this to the generic vertex form ...

  f(x) = (x -h)^2 +k . . . . . . . vertex at (h, k)

we see that h=3 and k=-1.

The vertex is (h, k) = (3, -1).

6 0
3 years ago
Solve for n.<br> 7 + 2n<br> ||<br> =<br> submit
Lunna [17]

Answer:

2

Step-by-step explanation:

7+2n = 11

2n = 11-7

2n = 4

n = 4/2

therefore n = 2

8 0
2 years ago
Math help, BOTH of these please!
Feliz [49]
#1 : ( 3 , - 2 )

~~

#2 : ( - 1 , 4 )

~~

I hope that helps you out!!

Any more questions, please feel free to ask me and I will gladly help you out!!

~Zoey
8 0
3 years ago
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strojnjashka [21]

Step-by-step explanation:

I didn't write language hope u get it

5 0
2 years ago
Based on the information below what are the values of x and y of the solution to the system of equations used to create the info
Grace [21]

Answer:

<em>(D). x = 2 , y = - 5</em>

Step-by-step explanation:

A = - 8 + 48 = 40

A_{x} = -76 + 156 = 80

A_{y} = 104 - 304 = - 200

<em>x =</em> \frac{A_{x} }{A} = <em>2</em>

<em>y =</em> \frac{A_{y} }{A} = <em>- 5</em>

<u><em>( 2, - 5 )</em></u>

3 0
2 years ago
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