Could you please show the work for both of them?

Mathematics

1 answer:

lesantik [10]2 years ago

3 0

7. y=-3/2x+8 (3rd answer choice)

substitute
-4=-3/2(8)+b
-4=-24/2 +b
-4=-12+b
+12 both sides
8=b

so equation would be...

y=-3/2x+8 (3rd answer choice)

8. y=-5x-17 (2nd answer choice)

substitute
-2=-5(-3)+b
-2=15+b
-15 both sides
-17=b

so the equation would be...

y=-5x-17 (2nd answer choice)

check your work by substituting each (x,y) value into the final equations if you want. hope this helps :))

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Read 2 more answers

Please help me with this.

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Swapping rows alters the sign of the determinant:

$\begin{vmatrix} x & y & z \\ -8 & 2 & -12 \\ u & v & w \end{vmatrix} = - \begin{vmatrix} x & y & z \\ u & v & w \\ -8 & 2 & -12 \end{vmatrix}$

Multiplying a single row by a scalar scales the determinant by the same amount:

$\begin{vmatrix} x & y & z \\ u & v & w \\ -8 & 2 & -12 \end{vmatrix} = -2 \begin{vmatrix} x & y & z \\ u & v & w \\ 4 & -1 & 6 \end{vmatrix}$

Then

$\begin{vmatrix} x & y & z \\ -8 & 2 & -12 \\ u & v & w \end{vmatrix} = -(-2) \begin{vmatrix} x & y & z \\ u & v & w \\ 4 & -1 & 6 \end{vmatrix} = 2\times(-6) = \boxed{-12}$

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2 years ago

Could you please show the work for both of them?​

Could you please show the work for both of them?