Answer:
<h2>x = 10.1</h2>
Step-by-step explanation:

<u>Solution-</u>
In order to get A'B'C' from ABC we have to do two steps,
they are
1- First we need to rotate the triangle around its own vertex C (-1 , 3)
2- Then moving the triangle 4 units downwards we will get the desired triangle.
After doing the first step the new co-ordinates of A,B,C will be,
(-2 , 4),(2 , 1) and (-1 , 3)
Then moving the triangle 4 units downward (i.e subtracting from y co-ordinate as we are moving in -ve y direction), the co-ordinates will be,
A' = (-2 , -3)
B' = (2 , -3)
C' = (-1 , -1)
Answer:
Y = - 7/4 X + 31/4
Step-by-step explanation:
M = 14/-8 = - 7/4
6 = - 7/4 + B
24 = -7 + 4B
31 = 4B
B = 31/4
Answer:
Multiply/divide both sides by the same non-zero constant
Step-by-step explanation:
5x = 20
Divide each side by 5
5x/5 = 20/5
x = 4
Answer:
3:11
Step-by-step explanation:
3x=11y
<u>Rearrange to the format of the ratio.</u>
11y = 3x
<u>Let's find </u><u>y/x</u><u>. </u><u>y/x</u><u> is </u><u>y:x.</u>
11y = 3x
<u>Divide both sides by </u><u>11</u><u>.</u>
11y/11 = 3x/11
y = 3x/11
<u>NOW LET'S DIVIDE BOTH SIDES BY </u><u>x</u><u> TO GET </u><u>x</u><u> AS THE DENOMINATOR OF </u><u>y</u><u>.</u>
y = 3x/11
y/x = (3x/11)/x
y/x = (3x/11) * 1/x
y/x = 3/11
Therefore, y:x = 3:11
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