Answer:
The reflection will be on the point (3, 5).
Step-by-step explanation:
For a given point (x, y) reflection along the line x = k, the co-ordinates will be:
.
Here, we have (x, y) = (-1, 5)
Reflection across the line x = 1, we have:
= (3, 5)
Hence, the reflection of the point (-1, 5) would be the point (3, 5).
Given:
The given equation is
To find:
All the real solutions.
Solution:
We have,
It can be written as
Using zero product property, we get
and
and
and
We know that is an imaginary number because there is a negative sign under the square root.
Therefore, is the only real solution of the given equation.
Answer:
B
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 = - x + 4 ← is i slope- intercept form
with slope m = -
Parallel lines have equal slopes, thus
y = - x + c ← is the partial equation
To find c substitute (6, 5) into the partial equation
5 = - 2 + c ⇒ c = 5 + 2 = 7
y = - x + 7 ← equation of parallel line