Answer:
Step-by-step explanation:
we have
5x+6y= -11
5x-2y=-3
we will multiply first equation with -1
-5x-6y=11 and add it with the second
5x-2y=-3
-8y=8
y=-1
we go to our original equation and replace y=-1
5x-6=-11
5x=-11+6
5x=-5
x=-1
Answer:
512 ft.
Step-by-step explanation:
From the parking lot at the Red Hill Shopping Center, the angle of sight (elevation) to the top of the hill is about 25. From the base of the hill you can also sight the top but at an angle of 55. The horizontal distance between sightings is 740 feet. How high is Red Hill? Show your subproblems.
Solution:
Let x be the distance from the base of the hill to the middle of the hill perpendicular to the height, let h be the height of the hill. Therefore:
tan 25 = h/(x + 740)
h = (x + 740)tan 25 (1)
tan 55 = h / x
h = x tan 55 (2)
Hence:
(x + 740)tan 25 = xtan 55
0.4663(x + 740) = 1.428x
0.4663x + 345.07 = 1.428x
0.9617x = 345.07
x = 359 ft.
h = xtan55 = 359 tan(55) = 512 ft.
$64.80 50+20%+8% tax then you get 64.80
Answer:
y=8x-69
Step-by-step explanation:
you would use the equation y-y1 = m (x - x1)
plug in m = 8 , y1 = 3, x1 = 9
now you have y - 3 = 8 (x-9)
distribute 8 --> y-3 = 8x - 72
add three to both sides to get y = 8x - 69
Answer:
The population will be 64 times larger after 96 hours.
Leave a comment if you'd like a more in-depth explanation.
