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Natalija [7]
3 years ago
11

Find the coordinates of the centroid of the triangle with the given vertices.

Mathematics
1 answer:
Zolol [24]3 years ago
8 0
  • Step-by-step explanation:

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(-8, 3)<br> (-3, -4.5)<br> The graph of the linear function What is the zero of g?
Vlada [557]

9514 1404 393

Answer:

  -6

Step-by-step explanation:

The slope of the line is ...

  m = (y2 -y1)/(x2 -x1)

  m = (-4.5 -3)/(-3 -(-8)) = -7.5/5 = -1.5

Then the point-slope equation can be written as ...

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

  y -3 = -1.5(x +8) . . . equation of the line through the given points.

We want the value of x for y = 0, so ...

  -3 = -1.5(x +8)

  2 = x +8 . . . . . . . divide by -1.5

  -6 = x . . . . . . subtract 8

The x-intercept of this linear function is x = -6.

_____

<em>Additional comment</em>

In slope-intercept form, the function can be written as ...

  g(x) = -1.5x -9

8 0
2 years ago
At the start of 2014 lucys house was worth ?200 000. The value of the house increased by 5% every year. Workout the value of her
Galina-37 [17]

Answer:

The value of Lucys house  at the start of 2017 is 231525.

Step-by-step explanation:

It is given that the initial value of Lucys house is 200,000. The  at the start of 2017.

The exponential function is defined as

P=P_0(1+r)^t

Where, P₀ is initial value, r is growth rate, t is time in years.

The value of house is defined by the function

P=200000(1+0.05)^t

Where, t is number of years after 2014.

P=200000(1.05)^t

The difference between 2017 and 2014 is 3 years.

P=200000(1.05)^3=231525

Therefore the value of Lucys house  at the start of 2017 is 231525.

3 0
4 years ago
How many times bigger is 5 with an exponent of 26 compared to 5 with an exponent of 22?
Gekata [30.6K]

Answer:

Step-by-step explanation:

if we have 5^22 and 5^26

5^26= 5^22 x5^4

5^26 is bigger by the number 5^4

5 0
3 years ago
Read 2 more answers
Suppose you toss a 6-sided die 40 times, with 14 tosses landing on the five. What percentage of the tosses would be fives?
Alex777 [14]
\dfrac{14}{40}\cdot100\%=35\%
3 0
3 years ago
Read 2 more answers
What is the value of this expression?
saw5 [17]

Answer:

Hey

Step-by-step explanation:

Answer is b. 42

2(17+6)−4

8 0
3 years ago
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