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Snezhnost [94]
3 years ago
13

Use these similar triangles on the coordinate plane to determine the equation of a straight line with a slope of 5/3 that passes

through the orgin.
Mathematics
1 answer:
Zina [86]3 years ago
5 0

Answer:

y=5/3x

Step-by-step explanation:

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Use calculus to find the area a of the triangle with the given vertices. (0, 0), (6, 2), (4, 8)
Vilka [71]

The area of the triangle with vertices  (x_1,y_1),(x_2,y_2),(x_3,y_3) is

\frac{1}{2}\left|\begin{array}{ccc}1&x_1&y_1\\1&x_2&y_2\\1&x_3&y_3\end{array}\right|.

Inserting numerical values, the are of the triangle with vertices (0, 0), (6, 2), (4, 8) is

\Delta = \frac{1}{2}\left|\begin{array}{ccc}1&0&0\\1&6&2\\1&4&8\end{array}\right |\\
\Delta = 0.5(48-8)\\
\Delta = 20 \;square\; units


7 0
3 years ago
Drag each graph to show if the system of linear equations it represents will have no solutions, one solution at (2,6), one solut
hjlf

Answer:

see the explanation

Step-by-step explanation:

<u><em>Verify each case</em></u>

Part 1) The graph show two identical lines, then the system has infinitely many solutions

Part 2) The graph show two perpendicular lines.

Remember that the solution of the system is the intersection point both graphs

The intersection point is (2,6)

therefore

The system has one solution at (2,6)

Part 3) The graph show two intersecting lines at (-6,-2)

Remember that the solution of the system is the intersection point both graphs

The intersection point is (-6,-2)

therefore

The system has one solution at (-6,-2)

8 0
4 years ago
When solving 5 (<br>25) - 7. What is the correct sequence of operations? (5 points)​
Nana76 [90]

You would multiply 5 by 25 (125) and then subtract 7 (118). Parentheses, exponents, multiply/divide, then add/subtract.

3 0
3 years ago
Mike saves $42 a week for 7 weeks. During his 8-day vacation, he plans to spend $8.25 each day for snacks. Which expression show
Alla [95]
The answer is B, because you will have to multiple 42 by 7 to see how much money he will have in 7 weeks and then you will have to subtract 8 × 8.25 to see how much money he spent on his vacation.
5 0
3 years ago
Plz help ASAP
DENIUS [597]
A+c = 150
10.25a+7.75c = 1470
4 0
4 years ago
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