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cupoosta [38]
3 years ago
15

The sum of two numbers is six, and the difference is 10. Find the numbers.

Mathematics
1 answer:
pashok25 [27]3 years ago
3 0
First no. = x 
Second no. = y

Equation Formation
x + y = 6..........equation(i)
x - y = 10...........equation (ii)


x = 6 - y
6 - y - y = 10
6 - 2 y = 10
-2 y = 10 -6
-2 y = 4
   y = -2

x = 6 + 2
x = 8

Answer = 8 , -2 

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Which speed is the fastest?
Schach [20]

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C, 180 miles/ 3 hours

Step-by-step explanation:

C is the correct answer because you need to find the unit rate of all of the numbers.

A. = 30 mph

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Help me please!!!!!!!!!!!!!!!!!!!!!!!!!!!
SVEN [57.7K]
82.2

Add all of them up and then divide by 10.
5 0
3 years ago
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Does (-24,-12) and (-15,-9) line pass through point (18,2)?
Dmitrij [34]

Find the slope using the formula [ y2-y1/x2-x1 ].

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3/9

1/3

Find the y-intercept using the formula [ y = mx + b ].

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Use (18, 2) to see if the line passes through it

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4 0
3 years ago
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Select the correct answer. Which matrix represents this system of equations? -2y + 7z = 10 9x + 5y = 1 2x + z = -5
Stells [14]

Answer:

In matrix form this can be represented as

\left[\begin{array}{ccc}0&-2&7\\0&5&0\\2&0&1\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] = \left[\begin{array}{ccc}10\\1\\5\end{array}\right]



Step-by-step explanation:

The given equations are

-2y + 7z = 10

9x + 5y = 1

2x + z = -5

Which can be written as

0x+-2y + 7z = 10

9x + 5y+0z = 1

2x +0y+ z = -5

In matrix form this can be represented as

\left[\begin{array}{ccc}0&-2&7\\0&5&0\\2&0&1\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] = \left[\begin{array}{ccc}10\\1\\5\end{array}\right]



When we multiply the above matrices we get the given set of equations.

In multiplying the matrices we check the no of columns of the first matrix and the number of rows of the second matrix. If they are equal ( as in this case they are 3) then the matrices can be multiplied .

The answer has the number of rows equal to the number of rows of the first matrix and the number of columns equal to the number of columns of the second matrix which is true in this case.

4 0
3 years ago
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