Tom wants to order tickets online so that he and his three friends can go together to the water park the cost of the tickets is
2 answers:
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I would start by setting up a chart like I did below.
Label one column age now and the other age in 5 years.
Since we don't know the son's age we use x.
We do know that the man's age is 4 times the son's age.
So the man's age will be 4x.
In the age in 5 year column, we add 5 to their current ages.
Now set up our equation.
Since it says "in five years" we use information in second column.
In 5 years time, he, "4x + 5", will be, equals,
3 times as old as his son, "3(x + 5)".
So we have 4x + 5 = 3(x + 5).
Solving from here, we find that x = 10.
So the son is 10 and the man is 4 times his age or 40.
Answer:
The equation of the hypotenuse line is y = -3·x + 9
Therefore, the correct options are -3 and 9
Step-by-step explanation:
The question asks to fill the boxes
y = _ x + _
We note that the equation is that of a straight line of the form;
y = m·x + c
Where:
m = Slope of the straight line graph and
c = Y intercept, that is the y-coordinate of the point on the line where x = 0
From the graph, we find the slope as follows;
Therefore, m = -3
The y intercept is found by extending the hypotenuse line to the point where it touches the y axes that is at x = 0;
From the graph, it is observed that the line, when extended, touches the y axes at the point y = 9, therefore, c = 9
Hence we have, the equation of the hypotenuse line is y = -3·x + 9.