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3 years ago

Find the translation that moves the figure 2 to figure 3 on the coordinate plane.

Mathematics

1 answer:

laila [671]3 years ago

5 0

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This morning, Tammy's car had 15.03 gallons of fuel. Now, 4.9 gallons are left. How much fuel did Tammy use?

ehidna [41]

Answer:

10.13

Step-by-step explanation:

15.03-4.9=10.13

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3 years ago

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Use the matrix tool to solve the system of equations. Choose the correct ordered pair. 4x-7y=-12 and -2+6y=11 plz help!!

9966 [12]

Answer:

Option C.

Step-by-step explanation:

Note: x is missing in the second equation.

The given equations are

$4x-7y=-12$

$-2x+6y=11$

It can we written as

$\left[\left.\begin{matrix}4 & -7\\ -2 & 6\end{matrix}\right|\begin{matrix}-12\\ 11\end{matrix}\right]$

Divide row 1 be 4.

$\left[\left.\begin{matrix}1 & -\dfrac{7}{4}\\ -2 & 6\end{matrix}\right|\begin{matrix}-3\\ 11\end{matrix}\right]$

Applying $R_2\to R_2+2R_1$ , we get

$\left[\left.\begin{matrix}1 & -\dfrac{7}{4}\\ 0 & \dfrac{5}{2}\end{matrix}\right|\begin{matrix}-3\\ 5\end{matrix}\right]$

Applying $R_2\to \dfrac{2}{5}R_2$ , we get

$\left[\left.\begin{matrix}1 & -\dfrac{7}{4}\\ 0 & 1\end{matrix}\right|\begin{matrix}-3\\ 2\end{matrix}\right]$

Applying $R_1\to R_1+\dfrac{7}{4}R_2$ , we get

$\left[\left.\begin{matrix}1 & 0\\ 0 & 1\end{matrix}\right|\begin{matrix}\dfrac{1}{2}\\ 2\end{matrix}\right]$

Since $x=\dfrac{1}{2}\text{ and }y=2$ , therefore required ordered pair is $(\dfrac{1}{2},2)$ .

Hence, option C is correct.

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4 years ago

What is the slope of a line that is parallel to the line 2x + 4y = 16 ?

sveticcg [70]

Answer:

-1/2

Step-by-step explanation:

slope = -a/b = -2/4 = -1/2

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3 years ago

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Sever21 [200]

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Factor completely. y^2+6y+8

Hunter-Best [27]

(Y+4)(y+2) is this what it supposed to look like? Cause I don’t really remember.

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