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3 years ago

Which graph show the solution to the following inequality

Mathematics

2 answers:

vivado [14]3 years ago

6 0

Answer: The second graph, counting from the top.

Step-by-step explanation:

We have inequality:

-2r + 3 ≥ 19

We can isolate r in this inequality, and get:

-2r ≥ 19 - 3 = 16

-r ≥ 16/2 = 8

Now we change the sign, this also changes the direction of the greater or equal than a sign:

r ≤ -8

So we will have that our graph must start at r = -8, and include all the numbers that are smaller than -8. (including the 8)

This graph is the second one.

Leto [7]3 years ago

4 0

-2r+3≥19
-2r≥16
r≤-8
second one

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jalen jogged 10 miles due north, then turned due west and jogged 5 more miles. How msny miles is jalen from his starting point?

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Answer:

Jalen is <u>11.18 miles</u> from his starting point.

Step-by-step explanation:

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Jalen jogged 10 miles due north, then turned due west and jogged 5 more miles.

Now, to find miles Jalen jogged from his starting point.

So, below is the figure attached to describe the scene.

Now, to get the distance of Jalen jogged from his starting point we use pythagoras theorem:

$AB^2+BC^2=AC^2\\\\10^2+5^2=AC^2\\\\100+25=AC^2\\\\125=AC^2$

<em>Using square root on both sides we get:</em>

$11.18=AC\\\\AC=11.18\ miles.$

Therefore, Jalen is 11.18 miles from his starting point.

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3 years ago

What is the solution to the system of equations graphed below?

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Step-by-step explanation:

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