Answer:
x= -10
if u need explanation pls let me know
Answer is D.) Hope I could help have a good day
Answer:
Her speed on the summit was 35 mph.
Step-by-step explanation:
Her speed on the summit was "x" mph while her speed while climbing was "x - 10" mph. The distance she rode uphill was 55 miles and on the summit it was 28 miles. The total time she explored the mountain was 3 hours. Therefore:
time uphill = distance uphill / speed uphill = 55 / (x - 10)
time summit = distance summit / speed summit = 28 / x
total time = time uphill + time summit
3 = [55 / (x - 10)] + 28 / x
3 = [55*x + 28*(x - 10)]/[x*(x - 10)]
3*x*(x - 10) = 55*x + 28*x - 280
3x² - 30*x = 83*x - 280
3x² - 113*x + 280 = 0
x1 = {-(-113) + sqrt[(-113)² - 4*(3)*(280)]}/(2*3) = 35 mph
x2 = {-(-113) - sqrt[(-113)² - 4*(3)*(280)]}/(2*3) = 2.67 mph
Since her speed on the uphill couldn't be negative the speed on the summit can only be 35 mph.
X = ± √<span>6 </span><span>= ± 2.4495 because i know it</span>
Answer:
(1,1)
Step-by-step explanation:
The choices are not visible, however are unnecessary to solve this problem.
Given y = 3x - 2 and y = -2x + 3
[Set them equal to each other]
3x - 2 = -2x + 3
[Find x]
3x + 2x - 2 = 3
3x + 2x = 5
5x = 5
x = 1
[Plug x = 1 to both equations to check and find y]
y = 3x - 2
y = 3(1) - 2 = 3 - 2 = 1
y = -2x + 3
y = -2(1) + 3 = -2 + 3 = 1
Both are equal to y = 1 when x = 1
The point is then: (1,1)
