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ira [324]
3 years ago
14

Solve the following system of equations:

Mathematics
1 answer:
MariettaO [177]3 years ago
3 0

Answer:

(1,3)

Step-by-step explanation:

\sf Answer\begin{cases} \sf \rightarrowtail \:  - 2x + y = 1 \dots(1) \\  \sf \rightarrowtail \:  - 4x + y =  - 1 \dots(2) \\ \sf 2 \times (1) \implies - 4x + 2y  = 2 \\ \sf 1 \times (2) \implies - 4x + y =  - 1 \\  \bf \star \: substracting \: both \\  \sf \rightarrowtail \: y = 3 \\  \sf \rightarrowtail \: -2x+(3)=1 \\ \sf \rightarrowtail \: -2x=-2 \\  \sf \rightarrowtail \: x=1\end{cases}

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Find the coordinates of S after a rotation of the triangle 90 degrees counterclockwise about the origin
Neko [114]

We first start by finding the actual coordinates of the pre - image's point S.

Assuming the x and y axis count by 1s, as there is no labels, we can conclude that:

The point's x coordiate is 4 to the left from the origin, or -4.

The point's y coordinate is 4 up from the origin, or 4.

So, the coordinates of Point S is (-4, 4).

Next, we apply the translation rule for a 90 degree counterclockwise rotation to the point's coordinates. The rule is (x, y) --> (-y, x). Using this rule on our coordinates, we get:

(-4, 4) --> (-4, -4)

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4 0
3 years ago
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1.

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A

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4 years ago
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ivolga24 [154]
Sent a picture of the solution to the problem (s).

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3 years ago
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