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3 years ago

What are the x and y values?

Mathematics

1 answer:

Maksim231197 [3]3 years ago

5 0

Answer:

Here is how the coordinate system works: X - Determines your position East/West in the map. A positive value increases your position to the East. A negative value increases your position to the West. Y - Determines your position up/down in the ma

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The three lines 8x+3y=12, 6y-7x=24, x+9y+33=0 intersect to form a triangle. Find the coordinates of its centroid

kicyunya [14]

Answer:

coordinates of its centroid=(-1,-1)

Step-by-step explanation:

The given three lines are:

8x+3y=12, (1)

6y-7x=24 (2)

and x+9y+33. (3)

Multiplying equation (1) by 2 and subtract the equation (2), we get

23x=0⇒x=0,

Putting the value of x=0 in equation (2), we get

6y=24

y=4

Now, multiply the first equation by 3 and subtract the equation (3), we get

23x=69⇒x=3

Putting the value of x=3 in equation (1), we get

24+3y=12

3y=-12

y=-4

Also, multiplying the equation (3) by 7 and add the equation (2), we get

69y=-207

y=-3

Putting the value of y=-3 in equation (2), we get

6(-3)-7x=24

-18-24=7x

x=-6

So the centroid is located at (the average of the three vertices):

$x=\frac{0+3-6}{3}=\frac{-3}{3}=-1$ and $y=\frac{4-4-3}{3}=\frac{-3}{3}=-1$ .

Thus, the coordinates of its centroid=(-1,-1)

3 0

3 years ago

PLS HELP ASAP PLS PLSPLS <br> What is the explicit formula for this sequence?<br> 6, 2, -2, -6, ...

Marysya12 [62]

Answer:

Step-by-step explanation:

this is just common sense. if you would have tried you could have easily answered this yourself.

the sequence starts with 6. that is a1.

so, the formula simply has to add "something" to 6.

therefore, A and D are out.

and then we see immediately that the sequence is built by subtracting 4 (or adding -4) for every step.

so, we need to add multiples of -4.

therefore, only B is correct (C adds multiples of +4).

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3 years ago

Miles is planning to spend 2/3 as many hours Bicycling this week as he did last week is Miles going to spend more hours were few

Firlakuza [10]

Answer: Yes, He bicycled fewer in this week than last week.

Step-by-step explanation:

Let he bicycled x hours in the last week,

Then, According to the question,

$\text{ He bicycled in this week} = \frac{2}{3} \text{ of the hours he bicycled last week} = \frac{2x}{3}$

$\text{ Since, }1 > \frac{2}{3}$

$\implies x > \frac{2x}{3}$

$\text{ He bicycled in the last week} > \text{ he bicycled in this week}$

Hence, He bicycled fewer in this week than last week.

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GenaCL600 [577]

Answer:

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A hospital did a ten-year study on patients who used its services. One thousand patients were randomly selected and followed ove

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