The coordinate grid shows points A through K. What point is a solution to the system of inequalities?
1 answer:
Answer:
Option C.) B
Step-by-step explanation:
we have
y > -2x+10 -----> inequality A
The solution of the inequality A is the shaded area above the dashed line y=-2x+10
The slope of the dashed line is negative m=-2
The y-intercept of the dashed line is (0,10)
The x-intercept of the dashed line is (5,0)
y > (1/2)x-2 -----> inequality B
The solution of the inequality B is the shaded area above the dashed line
y= (1/2)x-2
The slope of the dashed line is positive m=1/2
The y-intercept of the dashed line is (0,-2)
The x-intercept of the dashed line is (4,0)
using a graphing tool
The solution of the system of inequalities is the shaded area
see the attached figure
Points B and I are solution to the system of inequalities
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Answer:
(2, - 6 )
Step-by-step explanation:
Given the 2 equations
x = y + 5 → (1)
2x + 3y = - 14 → (2)
Substitute x = y + 5 into (2)
2( y + 5 ) + 3y = - 14 ← distribute and simplify left side
y + 10 + 3y = - 14
4y + 10 = - 14 ( subtract 10 from both sides )
4y = - 24 ( divide both sides by 4 )
y = - 6
Substitute y = - 6 into (1) for corresponding value of x
x = (0.5 × - 6 ) + 5 = - 3 + 5 = 2
Solution is (2, - 6 )
Answer:
Step-by-step explanation:
GIVEN: kayden paddled a canoe to an island. the island is miles from the shore. his trip to the island took two hours while paddling against the current. he paddles
mph with no current.
TO FIND: what was the speed of the current.
SOLUTION:
distance of island from the shore miles
total time taken by Kayden hours
speed of Kayden in still water
Let the speed of current be
Speed of Kayden against current
As,
Hence speed of current is