Answer:
The given algebraic representation (x,y) → (-x, y) represents the reflection of a point (x, y) across the y-axis.
Step-by-step explanation:
We know that when a point P(x, y) is reflected across the y-axis, the x-coordinate changes/reverses its sign, but the y-coordinate stays the same.
Thus, the rule of reflection of a point P(x, y) across y-xis is:
P(x, y) → P'(-x, y)
For example, if a point A(1, 2) is reflected across the y-axis, the coordinates of the image A' of the point A(1, 2) will be:
A(1, 2) → A'(-1, y)
In our case, we are given the algebraic representation
(x,y) → (-x, y)
Here:
- The x-coordinate changes/reverses its sign
- The y-coordinate stays the same.
Thus, the given algebraic representation (x,y) → (-x, y) represents the reflection of a point (x, y) across the y-axis.
Answer:
They are proportional
Step-by-step explanation:
Y/X represents coordinates Y being rise X being run. So Y/X is equal to rise/run. If there was a coordinate grid, if the two points created a straight line that slant to the right I would be proportional. Since all I see is rise/run= 5 they are proportional. 5 represents the slope.
Answer:
8 hours
Step-by-step explanation:
We can use a ratio to solve
12 hours x hours
---------- = ------------
93 dollars 62 dollars
Using cross products
12 * 62 = 93x
Divide each side by 93
12*62/93 = 93x/93
8 = x
8 hours
Question:
Solution:
Note that if we evaluate x = -1, 0, and x=1 in the last equation we get:
y = 3(-1)+ 3 = -3+3 = 0
y = 3(0)+3 = 3
y = 3(1)+3 = 6
So that, we can conclude that the correct solution is
D. y =3x + 3
