2x + 5y = 2
-3x - y =-3
-3x - y = -3
y = 3x - 3
substitute y = 3x - 3 into the first equation.
2x + 5y = 2
2x + 5(3x - 3) = 2
2x + 15x - 15 = 2
17x - 15 = 2
solve for x in 17x - 15 = 2
17x - 15 = 2
17x = 2 + 15
17x = 17
x = 1
substitute x = 1 into y = 3x - 3
y = 3x - 3
y = 3(1) - 3
y = 3 - 3
y = 0
(1, 0) << the answer
hope this helped, God bless!
Your distance from Seattle after two hours of driving at 62 mph, from a starting point 38 miles east of Seattle, will be (38 + [62 mph][2 hr] ) miles, or 162 miles (east).
Your friend will be (20 + [65 mph][2 hrs] ) miles, or 150 miles south of Seattle.
Comparing 162 miles and 150 miles, we see that you will be further from Seattle than your friend after 2 hours.
After how many hours will you and your friend be the same distance from Seattle? Equate 20 + [65 mph]t to 38 + [62 mph]t and solve the resulting equation for time, t:
20 + [65 mph]t = 38 + [62 mph]t
Subtract [62 mph]t from both sides of this equation, obtaining:
20 + [3 mph]t = 38. Then [3 mph]t = 18, and t = 6 hours.
You and your friend will be the same distance from Seattle (but in different directions) after 6 hours.
Answer:
Step-by-step explanation:
Given
The central angle of a sector measures
The radius of the circle is
The area of the sector is given by
Insert the values
Answer:
She used 4 test tubes for the last experiment
Step-by-step explanation:
Total test tubes needed = 14
Experiment 1 = 2 test tubes
Total test tubes remaining = total - used
= 14 - 2
= 12 test tubes
Remaining experiment = 4 - 1
= 3
Test tubes used for the remaining experiment = test tubes remaining / Experiment remaining
= 12 / 3
= 4 test tubes
How many test tubes did she use for the last experiment?
She used 4 test tubes for the last experiment