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shusha [124]
3 years ago
11

What is the missing number?"

Mathematics
1 answer:
Nookie1986 [14]3 years ago
3 0
Number 6 hopefully it helped
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144

Step-by-step explanation:

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Y−21<85. Graph the solution.
Tasya [4]

Answer:

y < 106

Step-by-step explanation:

Step 1: Add 21 to both sides.

  • y-21+21 < 85+21
  • y < 106

Therefore, the solution is y < 106.

To graph it on a graph:

  • circle 106 on the graph- DO NOT FILL IN THE CIRCLE
  • point the arrow to the left direction
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Distance between (2,7) and (-1,3)
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Find the equation of the parabola that passes through the points
Darya [45]

Answer:

1.  The equation of parabola is y=x^2-6x+5.

2. The equation of parabola is y=-2x^2+8x-8.

Step-by-step explanation:

1.

Let the equation of parabola be

y=ax^2+bx+c

It is given that the parabola passing through points (0,5), (2,-3) and (-1,12).

5=a(0)^2+b(0)+c

5=c

The value of c is 5.

y=ax^2+bx+5

The equation must be satisfied by the points (2,-3) and (-1,12).

-3=a(2)^2+b(2)+5

-8=4a+2b

Divide both sides by 2.

-4=2a+b                         .... (1)

12=a(-1)^2+b(-1)+5

7=a-b                            .... (2)

From (1) and (2), we get

a=1,b=-6

Therefore equation of parabola is y=x^2-6x+5.

2.

Let the equation of parabola be

y=ax^2+bx+c

It is given that the parabola passing through points (2,0), (3,-2) and (1,-2).

0=a(2)^2+b(2)+c

0=4a+2b+c                      .... (3)

The equation must be satisfied by the points (3,-2) and (1,-2).

-2=a(3)^2+b(3)+c  

-2=9a+3b+c                     .... (4)

-2=a(1)^2+b(1)+c

-2=a+b+c                            .... (5)

On solving (1), (2) and (3), we get

a=-2,b=8,c=-8

Therefore equation of parabola is y=-2x^2+8x-8.

7 0
3 years ago
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