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Usimov [2.4K]
3 years ago
7

Find the distance between the points G (-5,4) and H (2,6)

Mathematics
1 answer:
Ann [662]3 years ago
6 0
Formula \sqrt({x}  -x) ^{2}+(y-y) ^{2}

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Use Cramer’s Rule to solve system of equation.
alisha [4.7K]

\left\{\begin{array}{ccc}5x+2y=4\\3x+4y+2z=6\\7x+3y+4z=29\end{array}\right\\\\A=\left[\begin{array}{ccc}5&2&0\\3&4&2\\7&3&4\end{array}\right]\\\\\det A=5\cdot4\cdot4+3\cdot3\cdot0+2\cdot2\cdot7-7\cdot4\cdot0-3\cdot2\cdot5-3\cdot2\cdot4=54\\W_x=\left[\begin{array}{ccc}4&2&0\\6&4&2\\29&3&4\end{array}\right]\\\det W_x=4\cdot4\cdot4+2\cdot2\cdot29+6\cdot3\cdot0-29\cdot4\cdot0-3\cdot2\cdot4-6\cdot2\cdot4=108

W_y=\left[\begin{array}{ccc}5&4&0\\3&6&2\\7&29&4\end{array}\right]\\\det W_y=5\cdot6\cdot4+3\cdot29\cdot0+4\cdot2\cdot7-7\cdot6\cdot0-29\cdot2\cdot5-3\cdot4\cdot4=-162\\W_z=\left[\begin{array}{ccc}5&2&4\\3&4&6\\7&3&29\end{array}\right]\\\det W_z=5\cdot4\cdot29+3\cdot3\cdot4+6\cdot2\cdot7-7\cdot4\cdot4-3\cdot6\cdot5-3\cdot2\cdot29=324\\\\x=\dfrac{\det W_x}{\det A}=\dfrac{108}{54}=2\\\\y=\dfrac{\det W_y}{\det A}=\dfrac{-62}{54}=-3\\\\z=\dfrac{\det W_z}{\det A}=\dfrac{324}{54}=6

5 0
3 years ago
Can y'all help me with all of them plz
Elena-2011 [213]
10. 150
11. 1250
12. 105
13. 158000
15. B

6 0
3 years ago
Please help me with question 2
WARRIOR [948]

Answer:

sin(-a)= -15 /17

Step-by-step explanation:

Alright, lets remember that sin(x) is odd function, which means that

wherever you watch an expression like this: sin(-a), you can use the odd functions property, and turn it like the following

sin(-a)= - sin(a)

Now, other thing to remember: (sin(x))^{2}+(cos(x))^{2}=1

So, we can obtain any value for sin(x) function starting from the opposite function, cos(x), using the following:

sin(x)=\sqrt{1-(cos(x))^{2} }

So, if cos(a)= - 8 / 17, using the above equation we obtain the value for sin(a)

sin(a)=\sqrt{1 - (cos(a))^{2} } = \sqrt{1 - ( \frac{8}{17} )^{2}  }= \sqrt{\frac{225}{289} }  =15/17

Using the odd function property, we get the following result

sin(-a)= - sin(a) = -15/17

6 0
3 years ago
Two cans of paint and 1 brush cost $37. Four cans of paint and 3 brushes cost $81. Find the cost of one can of paint.
weeeeeb [17]
2c + b = 37 ....multiply by -3
4c + 3b = 81
------------------
-6c - 3b = - 111 (result of multiplying by -3)
4c + 3b = 81
------------------add
-2c = - 30
c = -30/-2
c = 15 <== $ 15 for a can of paint

and it costs $ 7 for each brush
8 0
4 years ago
Help me please????help
kari74 [83]
Yo I need help I’m in the 8th grade help me with this pls
4 0
3 years ago
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