Which point can be found using the vertical line x = –9 and the horizontal line y = 8?
1 answer:
ANSWER
The point is
EXPLANATION
When two nonparallel lines are drawn on the same plane, they will intersect at a unique point. This point represents the solution to the two systems of equations represented by the lines.
The vertical line
and the horizontal line
will intersect at
This is the unique solution to the two equations.
See graph.
The point is
EXPLANATION
When two nonparallel lines are drawn on the same plane, they will intersect at a unique point. This point represents the solution to the two systems of equations represented by the lines.
The vertical line
and the horizontal line
will intersect at
This is the unique solution to the two equations.
See graph.
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Answer:
Gina is 12 years old
Step-by-step explanation:
First, we will have to write these statements mathematically and then solve.
Let Gina's age be x, let Gina's brother's age be y and let Gina's sister's age be z.
The second statement"Gina's older sister is twice Gina's age" can be mathematically written as: z =2 x ---------------------------(1)
The next statement "Gina's brother is half Gina's age" can be mathematically written as y = ---------------------------------------(2)
Then the next statement "the sum of their ages is 42" can be mathematically written as: x + y + z = 42 ----------------------------(3)
We can now proceed to solve;
Substitute equation (1) and equation(2) into equation (3)
x + y + z = 42
x + + 2x = 42
Multiply through by 2
2x + x + 4x = 84
7x = 84
Divide both-side of the equation by 7
=
x = 12
Therefore, Gina is 12 years old