Answer:
2
Step-by-step explanation:
Simplify the expression.
Answer:
(x, y) = (2, 9)
Step-by-step explanation:
For the triangles to be congruent, the hypotenuses must be the same length:
y = x + 7
and the marked leg must be the same length in each triangle:
y -3 = 4x -2
These are two equations in two unknowns (a "system" of equations) that can be solved in any of the usual ways. Since the first equation gives an expression for y, it is convenient to substitute that into the second equation:
(x +7) -3 = 4x -2
x +4 = 4x -2 . . . . . . collect terms
x +6 = 4x . . . . . . . . .add 2
6 = 3x . . . . . . . . . . . subtract x
2 = x . . . . . . . . . . . . divide by 3
y = 2 + 7 = 9 . . . . . .substitute for x in the first equation
The values you're looking for are x = 2, y = 9.
Answer:
y = -3x +4
Step-by-step explanation:
Using the expression for y, we can substitute that into the second equation:
... x + (1/3)(-3x +4) = 4/3
... 4/3 = 4/3 . . . . . simplify (True for any value of x.)
<em>These equations are dependent and have an infinite number of solutions</em>.
Answer:
The y-intercept represents the price of the computer last Monday.
Step-by-step explanation:
The y-intercept is the point on a graph where x equals zero. Also, the y-intercept is the output value in an equation when x equals zero.
In this situation, x represents the number of days since last Monday. So, when x equals zero, no time has passed.
Therefore, the y-intercept represents the price of the computer last Monday.
