2 years ago

What is the range of this graph ?

Mathematics

1 answer:

Maslowich2 years ago

7 0

Answer:

D. 6

Step-by-step explanation:

Range of any data set is the difference between the maximum value and the minimum value.

From the graph given above, the least data value plotted on the graph is 1.

Minimum value = 1

The maximum data value = 7

The range of the data set = max - min

Range = 7 - 1

Range = 6

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AB has coordinates A(-5,9) and B(7,- 7). Points P, Q, and I are collinear

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Answer:

$\overline{QT}$

Step-by-step explanation:

We want to find the coordinates of a certain point C(x,y) such that C divides $A(x_1,y_1)$ and $B(x_2,y_2)$ in the ratio m:n=3:2

The x-coordinate is given by:

$x=\frac{mx_2+nx_1}{m+n}$

The y-coordinate is given by:

$y=\frac{my_2+ny_1}{m+n}$

AB has coordinates A(-5,9) and B(7,- 7)

We substitute the values to get:

$x=\frac{3*7+2*-5}{3+2}$

$x=\frac{21-10}{5}$

$x=\frac{11}{5}$

and

$y=\frac{3*-7+2*9}{3+2}$

$y=\frac{-21+18}{5}$

$y=-\frac{3}{5}$

Therefore C has coordinates $(\frac{11}{5},-\frac{3}{5})$

The line segment that contains C is $\overline{QT}$

See attachment.

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