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Pie
3 years ago
11

Find the equation of the axis of symmetry of the following parabola algebraically.

Mathematics
1 answer:
victus00 [196]3 years ago
8 0

Answer:

aixs of symmetry  = 8

vertex :- ( 8, 7)

Step-by-step explanation:

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3 years ago
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2.the solution set of x +y =5 and x-y =3
Nataliya [291]

Answer:

Check the solution below

Step-by-step explanation:

2) Given the equation

x +y =5... 1 and

x-y =3 ... 2

Add both equations

x+x = 5+3

2x = 8

x = 8/2

x = 4

Substitute x = 4 into 1:

From 1: x+y = 5

4+y= 5

y = 5-4

y = 1

3) Given

x+3y =15 ... 1

2x+7y=19 .... 2

From 2: x = 15-3y

Substitute into 2

2(15-3y)+7y = 19

30-6y+7y = 19

30+y = 19

y = 19-30

y = -11

Substitute y=-11 into x = 15-3y

x =15-3(-11)

x = 15+33

x = 48

The solution set is (48, -11)

4) given

x/2 +y/3 =0 and x+2y=1

From 1

(3x+2y)/6 = 0

3x+2y = 0.. 3

x+2y= 1... 4

From 4: x = 1-2y

Substutute

3(1-2y) +2y = 0

3-6y+2y = 0

3 -4y = 0

4y = 3

y = 3/4

Since x = 1-2y

x = 1-2(3/4)

x = 1-3/2

x= -1/2

The solution set is (-1/2, 3/4)

5) Given

5.x=1/2 and y =x +1 then solution is

We already know the vkue of x

Get y

y= x+1

y = 1/2 + 1

y = 3/2

Hence the solution set is (1/2, 3/2)

6) Given

3x +y =5 and x -3y =5

From 3; x = 5+3y

Substitute into 1;

3(5+3y)+y = 5

15+9y+y = 5

10y = 5-15

10y =-10

y = -1

Get x;

x = 5+3y

x = 5+3(-1)

x = 5-3

x = 2

Hence two solution set is (2,-1)

6 0
3 years ago
Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one sam
____ [38]
We can set up 2 equations given the information.
Let the price of advance ticket be represented by A and same day ticket by S

A + S = 50
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Solve for A in the first equation by subtracting S on both sides.
U will get A = 50 - S

Now substitute 50 - S for A in the second equation.

20 (50 - S) + 40S = 1700
1000 - 20S + 40S = 1700
20S = 700
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Same day ticket costs $35 and advance ticket costs $15
6 0
3 years ago
Is the order pair (-5,9) a solution to the equation y = 5x -4
s2008m [1.1K]

Answer:

No

Step-by-step explanation:

9=5(-5)-4 is not correct, 5(-5)-4 is actually -29 so no, the coordinates are not a solution to the equation.

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galben [10]

Answer:

42 Cases.

Step-by-step explanation:

1008 divided by 24 = 42

7 0
3 years ago
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