See the attached figure. The original triangle is shown in red (triangle ABC). The line of reflection is the blue dashed line. This is the equation y = x. Reflecting triangle ABC over the line y = x results in the purple triangle A'B'C'.
Note how the x and y values swap places.
We have...
point A = (5,1) turn into point A' = (1,5)
point B = (8,1) turn into point B' = (1,8)
point C = (8,6) turn into point B' = (6,8)
The swap occurs because the rule (x,y) --> (y,x) tells this to happen.
The purple triangle is the final answer.
Answer: -10x (5x^3 - 8x^2 - 3x - 9) is the factored solution.
Answer: you travelled 10 km
Step-by-step explanation:
Pam jogged up the hill at 6 km/h.
Let x represent the number of kilometers that you travelled by jogging up the hill or returning back.
Time = Distance/speed
Pam jogged up the hill at 6 km/h.
Time spent in jogging up the hill would be
x /6
She then jog back down the hill at 10 km an hour. Time spent in jogging down the hill would be
x /10
If the total jogging tie is 1 hour 20 minutes, converting to hours, it becomes 1 + 20/60 = 1.33
Therefore
x /6 + x/10 = 1.33
10x + 6x = 80
16x = 80
x = 80/16 = 5
Total distance travelled up and down the hill would b
5 × 2 = 10 km
3.00
- 2.50
-----------
0 .5 0
<em><u>PLEASE MARK THIS ANSWER THE BRAINLIEST</u></em>
Subtract 12 from the side of x and moving it to 40, creating x<28