Answer:
The correct answer is the first option: (5, -2) (3, 1) (-4, 2)
Step-by-step explanation:
Given the following systems of linear inequalities:
y ≥ -1/2x and y < 1/2x + 1:
Plugging in the values of (5, -2) (3, 1) (-4, 2) into the given systems of linear inequalities provides a true statement:
y ≥ -1/2x:
(5, -2): y ≥ -1/2x
-2 ≥ -1/2(5)
-2 ≥ -2.5 True statement.
(5, -2): y < 1/2x + 1
-2 < 1/2(5) + 1
-2 < 3.5 True statement.
(3, 1): y ≥ -1/2x
3 ≥ -1/2( 1 )
3 ≥ -1/2 True statement.
(3, 1): y < 1/2x + 1
1 < 1/2(3) + 1
1 < 2.5 True statement.
(-4, 2): y ≥ -1/2x
2 ≥ -1/2(-4)
2 ≥ 2 True statement.
(-4, 2): y < 1/2x + 1
2 < 1/2(-4) + 1
2 < -1 True statement.
Therefore, (5, -2) (3, 1) (-4, 2) are the solutions to the systems of linear inequalities.
Answer:
b and c
Step-by-step explanation:
Answer:
27 FEET TALL
Step-by-step explanation:
If a 6 foot fence casts a 10 foot shadow then you need to find the ratio 6/10. (This is my method) Now you are trying to find the numerator for X/45.. you need to find what number equals .6 you can use Symbolab as a calculator I typed 6/10 = X/45 and I got 27.
(2, -5) is the mid point
(3, 6) is (2+1, -5+11) is an end point
therefor the other end point should be (2-1, -5-11) = (1, -16)
You could visualise this better if you draw it
Hope this helps, I don't really know a better way to explain it, sorry =P
Answer:
See below for answers and explanations
Step-by-step explanation:
<u>Problem 1</u>
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Check solution:
<u>Problem 2</u>
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<u>Problem 3</u>
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<u>Problem 4</u>
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<u>Problem 5</u>
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<u>Problem 6</u>
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