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lianna [129]
3 years ago
7

Can someone please answer this I don’t understand!

Mathematics
1 answer:
Dovator [93]3 years ago
6 0

The coordinates of X are (5, 11).

Solution:

Given points of the line segment are P(2, 2) and T(7, 17)  

Let X be the point that partitions the directed line segment PT in the ratio 3 : 2

Using section formula, we can find the coordinate of the point that partitions the line segment.

Section formula:

$X(x, y)=\left(\frac{m x_{2}+n x_{1}}{m+n}, \frac{m y_{2}+n y_{1}}{m+n}\right)

Here, x_{1}=2, y_{1}=2, x_{2}=7, y_{2}=17 and m = 3, n =2

Substitute these in the section formula,

$X(x, y)=\left(\frac{3 \times 7+2 \times 2}{3+2}, \frac{3 \times 17+2 \times 2}{3+2}\right)

            $=\left(\frac{21+4}{5}, \frac{51+4}{5}\right)

           $=\left(\frac{25}{5}, \frac{55}{5}\right)

           =(5, 11)

X(x, y) = (5, 11)

The coordinates of X are (5, 11).

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Find the average rate of change of f(x) = -x² + 5x+2 from x=3 to x=6.
ivolga24 [154]

9514 1404 393

Answer:

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Step-by-step explanation:

The points at the ends of the interval are ...

  (3, f(3)) = (3, 8)

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The slope is given by the slope formula:

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The average rate of change is -4.

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*<br> Write the equation in standard form using integers.<br><br> y=-4/5x+3
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Step-by-step explanation:

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2 years ago
A bag contains 10 red marbles, 6 blue marbles, and 4 green marble.
Salsk061 [2.6K]

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7/10 or 70%.

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3 years ago
If 1 inch represents 65 miles on a map, then how many inches will represent 2300 miles?
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Read 2 more answers
X = y+2<br> x+4y=7 <br><br> Please help!
spayn [35]
Since x = y + 2

so
y + 2 + 4y = 7

5y + 2 = 7

5y = 7-2

5y = 5

y = 1

x= y + 2

x = (1) + 2

x = 3

(x,y) = (3,1)
7 0
3 years ago
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