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lesya [120]
3 years ago
15

what are the coordinates of the point on the directed line segment (-1,-2) to (9,-10) that partitions the segment into a ratio o

f 3 to 1
Mathematics
1 answer:
Ymorist [56]3 years ago
4 0

Answer:

[6.5,-7.25]

Step-by-step explanation:

Given the partitioning ratio as 3:1

#Find the length of the x-coordinate and multiply by the ratio:

x length=9--1=10

=>\frac{1}{4}\times 10=2.5

#We subtract 2.5 from the x-max to get the point=9-2.5=6.5

#Find the length of the y-coordinate and multiply by the ratio:

x length=-9--2=-7

=>\frac{1}{4}\times -7=-1.75

#We subtract -1.75 from the y-max to get the point=-9--1.75=-7.25

Hence,  the coordinates that partitions the segment into a ratio of 3 to 1 is [6.5,-7.25]

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Find out the Range coefficient of the range
Alex777 [14]

Answer:

0.4494

Step-by-step explanation:

Given :

marks number of students

20-29 8

30-39 12

40-49 20

50-59 7

60-69 3​

The range Coefficient is obtained thus :

Range Coefficient = (Xm - Xl) / (Xm + Xl)

Where ;

Xm = Mid value of highest class = (60+69)/2 = 64.5

Xl = Mid value of lowest class = (20+29)/2 = 24.5

Range Coefficient = (64.5 - 24.5) / (64.5 + 24.5)

Range Coefficient = 40 / 89 = 0.4494

7 0
3 years ago
Write an equation of a circle that is centered at (1,-4) with a radius of 10.
alexdok [17]

Answer:

(x-1)^2 + (y+4)^2 = 100\\\\

=====================================================

Work Shown:

(x-h)^2 + (y-k)^2 = r^2\\\\(x-1)^2 + (y-(-4))^2 = 10^2\\\\(x-1)^2 + (y+4)^2 = 100\\\\

You could expand terms out and simplify, but I think it's more handy to leave it in this form so you can easily spot the center and radius from a glance.

5 0
3 years ago
Read 2 more answers
For each order pair (x,y) , determine whether it is a solution to the inequality 4x-6y_< - 18
anyanavicka [17]

Solution:

Given:

4x-6y\leq-18

To determine if an ordered pair is a solution, we substitute the x and y-values into the inequality and check if it is true.

Thus,

\begin{gathered} For\text{ the point }(-9,-2) \\ x=-9,y=-2 \\ 4x-6y\leq-18 \\ 4(-9)-6(-2)=-36+12=-24 \\ Since\text{ }-24

\begin{gathered} For\text{ the point }(0,3) \\ x=0,y=3 \\ 4x-6y\leq-18 \\ 4(0)-6(3)=0-18=-18 \\ Since\text{ }-18=-18,\text{ then }(0,3)\text{ is a solution} \end{gathered}

\begin{gathered} For\text{ the point }(5,-3) \\ x=5,y=-3 \\ 4x-6y\leq-18 \\ 4(5)-6(-3)=20+18=38 \\ Since\text{ }38>-18,\text{ then }(5,-3)\text{ is not a solution} \end{gathered}

\begin{gathered} For\text{ the point }(8,5) \\ x=8,y=5 \\ 4x-6y\leq-18 \\ 4(8)-6(5)=32-30=2 \\ Since\text{ }2>-18,\text{ then }(8,5)\text{ is not a solution} \end{gathered}

Therefore, the correct answers are selected as shown below;

7 0
1 year ago
If y=2x+3 find the value of y when x=5
Alex73 [517]
Y is 13 when you solve the problem
8 0
3 years ago
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15
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Then its not a polygon
5 0
3 years ago
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