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Leni [432]
3 years ago
14

the table describes some of the solutions of the inequality 3m>21. Which graph best describes the solutions of 3m>21?

Mathematics
1 answer:
Travka [436]3 years ago
8 0

Answer:

Option 3

Step-by-step explanation:

Given inequality is,

3m\geq 21

To find the solutions of the given inequality solve this inequality first.

\frac{3m}{3}\geq \frac{21}{3}

m\geq 7

This inequality will be represented by an arrow starting from 7 and directing towards infinity.

Since, inequality is having a sign notation of greater than equal to, arrow will start with a dark circle located at 7.

Therefore, Option 3 (from the top) will be the answer.  

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HACTEHA [7]

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4 years ago
ΔEFG is located at E (0, 0), F (−7, 4), and G (0, 8). Which statement correctly classifies ΔEFG?
MariettaO [177]

Answer:

ΔEFG is an isosceles triangle.

Step-by-step explanation:

Given:

E (0, 0),

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ΔEFG

Solution:

Distance formula

Distance d = \sqrt{(x_2-x_1)^2 +( y_2-y_1)^2

Step 1: Finding the length of  EF

By using distance formula,

EF = \sqrt{(-7 - 0)^2 + (4-0)^2}

EF = \sqrt{(49) + (16)}

EF = \sqrt{(49) + (16)}\\EF = \sqrt{65}\\

Step 2: Finding the length of  FG

By using distance formula,

FG = \sqrt{(0-(-7))^2+(8-4)^2}\\FG = \sqrt{(7)^2 +(4)^2}\\FG = \sqrt{49 +16}\\FG = \sqrt{65}

Step 2: Finding the length of  GE

GE= \sqrt{(0-0)^2 + (0-8)^2}\\\\GE =\sqrt{(-8)^2}\\GE = \sqrt{64}\\GE = 8

Thus we could see that the sides EF = FG

So it is  a isosceles triangle.

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The answer is x = 24
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