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Natalka [10]
3 years ago
7

Find the distance between the points given. (-3, 2) and (9,-3)

Mathematics
1 answer:
marishachu [46]3 years ago
8 0

Answer:

13

Step-by-step explanation:

To find the distance between the points given, we use the Distance Formula (otherwise known as rewriting the pythagorean theorum).

d=√(x_2 - x_1)²+(y_2 - y_1)²)

Distance (d) = √(9 - -3)2 + (-3 - 2)2

= √(12)2 + (-5)2

= √169

= 13

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Apply Crammer's Rule to find the solution to the following quations .2x + 3y = 1, 3x + y = 5​
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Answer:

The solution to the equation system given is:

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  • <u>y = -1</u>

Step-by-step explanation:

First, we must know the equations given:

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Following Crammer's Rule, we have the matrix form:

\left[\begin{array}{ccc}2&3\\3&1\end{array}\right] =\left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}1\\5\end{array}\right]

Now we solve using the determinants:

x=\frac{\left[\begin{array}{ccc}1&3\\5&1\end{array}\right]}{\left[\begin{array}{ccc}2&3\\3&1\end{array}\right] } =\frac{(1*1)-(5*3)}{(2*1)-(3*3)} = \frac{1-15}{2-9} =\frac{-14}{-7} = 2

y=\frac{\left[\begin{array}{ccc}2&1\\3&5\end{array}\right]}{\left[\begin{array}{ccc}2&3\\3&1\end{array}\right] } =\frac{(2*5)-(3*1)}{(2*1)-(3*3)}=\frac{10-3}{2-9} =\frac{7}{-7}=-1

Now, we can find the answer which is x= 2 and y= -1, we can replace these values in the equation to confirm the results are right, with the first equation:

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  • 4 - 3 = 1
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And, with the second equation:

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  • 5 = 5

 

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VARVARA [1.3K]
If the temperature of the egg is x, then if x is below 23 (x<23), they rarely hatch. If x is greater than 33 (x>33), they also rarely hatch. For them to not rarely hatch, then x must be not below 23 (greater than or equal to) and not above 33 (less than or equal to), resulting in our compound equality being 
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Answer:

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Step-by-step explanation:

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