Another geometry question :D

Mathematics

2 answers:

Nitella [24]3 years ago

8 0

I think it should be c

Nikolay [14]3 years ago

8 0

Answer:

Translated according to the rule (x, y) →(x + 8, y + 2) and reflected across the x-axis

Step-by-step explanation:

The given polygons are translated and then reflected along x or y axis .

To determine the one from the given options the figure is translated and then reflected along x axis .Consider points A and A'.

A (-4,5) ....>A' (4,-7)

If 8 is added to x and 2 to y ordinates we have:

A(-4+8,5+2)= ( 4,7)

If this point is reflected along x axis we have the reflected point as (4,-7) which is point A'.

The same is true for all the other points of the polygon.

Hence, The two transformations are applied to pentagon ABCDE to create A'B'C'D'E is Translated according to the rule (x, y) →(x + 8, y + 2) and reflected across the x-axis.

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Write the following number as ratios of integers

s2008m [1.1K]

Our goal here is to somehow "surgically remove" the repeating part of the number, so let's start by putting the original value in a variable and messing around with it a bit.

We'll let $x=7.\overline{6}$ . We want to cut the $0.\overline{6}$ bit off completely, so let's create the scalpel that'll let us do that. If $x=7.\overline{6}$ , then we can also say that $10x=76.\overline{6}$ . Maybe I was lying a bit: the $x$ is our real scalpel here, and $10x$ is where we'll be making the cut. Mathematically, a "cut" is almost always shorthand for subtraction, so let's see what our operation (cutting $x$ off of $10x$ ) leaves us with:

$10x-x=76.\overline{6}-7.\overline{6}\\9x=69$

The operation was a success! We can now simply divide either side by 9 to find $x = 69/9$ , which, when reduced by dividing the numerator and denominator by 3, gives us $x=23/3$