If points f and g are symmetric with respect to the line y=x, then the line connecting f and g is perpendicular to y=x, and f and g are equidistant from y=x.
This problem could be solved graphically by graphing y=x and (8,-1). With a ruler, measure the perpendicular distance from y=x of (8,-1), and then plot point g that distance from y=x in the opposite direction. Read the coordinates of point g from the graph.
Alternatively, calculate the distance from y=x of (8,-1). As before, this distance is perpendicular to y=x and is measured along the line y= -x + b, where b is the vertical intercept of this line. What is b? y = -x + b must be satisfied by (8,-1): -1 = -8 + b, or b = 7. Then the line thru (8,-1) perpendicular to y=x is y = -x + 7. Where does this line intersect y = x?
y = x = y = -x + 7, or 2x = 7, or x = 3.5. Since y=x, the point of intersection of y=x and y= -x + 7 is (3.5, 3.5).
Use the distance formula to determine the distance between (3.5, 3.5) and (8, -1). This produces the answer to this question.
Answer:
False
Step-by-step explanation:
0.5 + 6.38= 6.88
In general you'd round your answer to the greatest level of precision used in the question, not the least.
Answer:
<h2>
1,800 pictures</h2>
Step-by-step explanation:
Find the diagram attached below with its dimension.
The board is rectangular in nature with dimension of 3.6 m by 1.8 m wall.
Area of a rectangle = Length * Breadth
Area of the board = 3.6 m * 1.8 m
since 1m -= 100cm
Area of the board = 360cm * 180cm
Area of the board = 64,800cm²
If the dimension of a picture on the wall is 6cm * 6cm, the area of one picture fir on the wall = 6cm* 6cm = 36cm²
In order to know the amount of 6cm* 6cm pictures that will fit on the wall, we will divide the area of the board by the area of one picture as shown;
Number of 6cm by 6cm pictures that could fit on the wall
= 64, 800cm²/36cm²
= 1,800 pictures
Answer:
Step-by-step explanation:
7⁴/ 7⁶ = 1/ 7⁶⁻⁴ = 1/7² = 1 /49 = 0.02
Answer:
The distance between two cities is <em>60 miles.</em>
Step-by-step explanation:
Time taken to travel from B to A = 2 hours
Time taken to travel from A to B = 1.5 hours
Current speed = 5 mph
Let the speed of ferry in still water = <em>u</em> mph
When the ferry moves with the current, it will taken lesser time (i.e. A to B) and when it moves against the current it will take more time (i.e. B to A).
Let the distance between the two cities A and B = D miles
While moving with the current, speed = 
While moving against the current, speed = 
Formula for Distance = Speed
Time
Distance traveled in each case is same i.e. D.
So,

Now,

So, the distance between two cities is <em>60 miles.</em>