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Mathematics

1 answer:

kumpel [21]3 years ago

8 0

<h3>Answer: b = 17</h3>

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Explanation:

The line must go through the point (5,2) which means x = 5 and y = 2 pair up together.

We'll plug these x and y values into the equation and solve for b.

y = -3x+b

2 = -3(5)+b

2 = -15+b

2+15 = b

17 = b

b = 17

The equation y = -3x+b turns into y = -3x+17

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Tom determines the system of equations below has two solutions, one of which is located at the vertex of the parabola.

Rus_ich [418]

Answer:

b must equal 7 and a second solution to the system must be located at (2, 5).

Step-by-step explanation:

Rearranging the first equation:

y = (x - 3)^2 + 4

From this we see that the vertex is at the point (3,4).

So one solution of equation 2 is (3 ,4).

Substituting in equation 2:

4 = -3 + b

b = 7.

So equation 2 is y = - x + 7.

Now we check if (2, 5) is on this line:

5 = -2 + 7 = 5 , therefore (2, 5) is on this line.

Verifying if (2, 5) is also on y = (x - 3)^2 + 4:

5 = (2 - 3)^2 + 4 = 1 + 4 = 5

- so it is. and a second solution to the system is (2, 5).

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3 years ago

How to solve 2/3(6x-9)=-34

castortr0y [4]

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