Answer:
The image of (2,3) after a reflection over the given line will be: (-3,-2)
Step-by-step explanation:
The given point is (2,3)
Let (x,y) be a point, when it will be reflected over the line y=-x the coordinates are exchanged and are negated i.e. point (x,y) becomes (-y,-x)
When a point is reflected over a line the distance between the image of point and the line remains the same as the distance between original point and line.
Given point will become: (-3,-2)
Hence,
The image of (2,3) after a reflection over the given line will be: (-3,-2)
Answer:
200,000cm
Step-by-step explanation:
1m = 100cm
2000m = ?
2000 × 100 = 200,000cm
Answer:
y = 4x - 5
Step-by-step explanation:
y = mx + b
By putting above values in equation (i)
-1 = 4 (1) + b
-1 = 4 + b
-5 = b
b = -5
y = 4x - 5
Answer 2/13
Step-by-step explanation:
There are 52 cards in a standard deck: 13 ordinal cards (Ace -10, jack, Queen, King)and 4 of them
- one to each sute (hearts, diamonds, clubs, spades ) and so we have 4x13=52
There are 8 card that fit the question (4 each of access and kings).
so if you in a random draw the odds of drawing one of those 8 card out of the total number of 52 is 8/52
which we simplify
8/2=2/13
Answer:
See description below.
Step-by-step explanation:
To choose the correct equation, find the slope of the line on the graph. Identify two points on the line. Then subtract to find their rate of change using the slope formula.
When you know the slope, find the negative reciprocal. For example, if the slope is 2/1 then the negative reciprocal is -1/2. This is the slope of a perpendicular line to a line with slope 2. Choose the equation which has this same slope.
Example:
y = 2x -1
y= -1/2 +5
