Answer:
(-3,5)
Step-by-step explanation:
6x+7y=17
-6x+5y=7
2y=10
y=5
6x+5(5)=7
6x+25=7
6x=7-25
6x=-18
x=-3
Answer:
The vertex and the axis of symmetry in the attached figure
Step-by-step explanation:
we know that
The equation of a vertical parabola written in vertex form is equal to

where
a is the leading coefficient
(h,k) is the vertex of the parabola
and the equation of the axis of symmetry is equal to the x-coordinate of the vertex

In this problem
we have

This is a vertical parabola written in vertex form open upward
The vertex is a minimum
where
the vertex is the point (5,-7)
the x-coordinate of the vertex is 5
so
the equation of the axis of symmetry is equal to

The graph in the attached figure
Answer:
y = - 2x - 13
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 2x - 5 ← is in slope- intercept form
with m = - 2, thus
y = - 2x + c ← is the partial equation of the line
To find c substitute (- 4, - 5) into the partial equation
- 5 = 8 + c ⇒ c = - 5 - 8 = - 13
y = - 2x - 13 ← equation of line
Answer:
(x-y)(x+y+z)
Step-by-step explanation:
