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3 years ago

A triangle ABC with vertices A(6,8) B(6,12) C(10,12) is rotated to 180. What are the coordinates of B

1 answer:

8 0

Assuming rotation is about origin, then
R180: (x,y)->(-x,-y)

So
A(6,8)->A'(-6,-8)
B(6,12)->B'(-6,-12)
C(10,12)->C'(-10,-12)

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Which of these systems of equations shows the solution for the graph?

I am Lyosha [343]

Answer:

Step-by-step explanation:

Note that one of the lines is simply y=-1 for any x, so we can dismiss the only answer without y=-1. That rejected answer is A)

Now let's notice, that the other line is decreasing y when increasing x. That tells us that in the equation y = ax + b, a has to be negative. This brings us to reject option D).

What is the y of that line for x = 0? Because y = ax + b, for x = 0 we will get the value of b. This is called the intercept. The line is at y=4 for x=0, so we know that the b in the equation must be positive 4. This fits answer C, but rejects answer B). And so, we have found that C) is the only possible answer.

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3 years ago

9(x + 1) = 25 + x x = 2 x = 3 x = 4 x = 5

wolverine [178]

Answer:

Step-by-step explanation:

9x + 9 = 25 + x

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x = 2

make sure to ask if you need any further guidance.

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2 years ago

Read 2 more answers

What is the equation of the following line? be sure to scroll down first to see all answer options

andreyandreev [35.5K]

Answer:

The equation for the following graph:

$y = -\frac{1}{5}x$

Step-by-step explanation:

- You first need to find the slope by using the slope formula:

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

(where $(x_{1},y_{1})$ is the first point and $(x_{2}, y_{2})$ is the second point)

-Use the given points $(0,0)$ and $(10, -2)$ from the graph for the formula:

$m = \frac{-2 - 0}{10 - 0}$

Then, you solve:

$m = \frac{-2 - 0}{10 - 0}$

$m = -\frac{1}{5}$

After you have found the slope, use the slope $-\frac{1}{5}$ and the first point $(0,0)$ for the point-slope formula:

$y - y_{1} = m ( x - x_{1})$

(where $m$ is the slope and $(x_{1}, y_{1})$ is the first point)

$y - 0 = -\frac{1}{5} ( x - 0)$

Then, you solve:

$y - 0 = -\frac{1}{5} ( x - 0)$

$y - 0 = -\frac{1}{5}x - 0$

$y - 0 + 0 = -\frac{1}{5} - 0 + 0$

$y = -\frac{1}{5}x$

So, the equation for the following graph is $y = -\frac{1}{5}x$ .

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3 years ago

The segments shown below could form a triangle ac=9. cb=8. ba=17

krek1111 [17]

The lengths of sides of a triangle have to satisfy the triangle inequality, which states that the sum of the two shorter sides must exceed the length of the third side.

Here 9+8=17 (not greater), so these segments do not form a triangle.

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3 years ago

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GalinKa [24]

If you are looking for overall score it would be 1 over par.

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4 years ago