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mixer [17]
3 years ago
13

What is the midpoint of the line segment with endpoints (–5.5, –6.1) and (–0.5, 9.1)?

Mathematics
1 answer:
astraxan [27]3 years ago
5 0
\bf ~~~~~~~~~~~~\textit{middle point of 2 points }
\\\\
(\stackrel{x_1}{-5.5}~,~\stackrel{y_1}{-6.1})\qquad 
(\stackrel{x_2}{-0.5}~,~\stackrel{y_2}{9.1})
\qquad
%   coordinates of midpoint 
\left(\cfrac{ x_2 +  x_1}{2}~~~ ,~~~ \cfrac{ y_2 +  y_1}{2} \right)
\\\\\\
\left( \cfrac{-0.5-5.5}{2}~~,~~\cfrac{9.1-6.1}{2} \right)\implies \left( \cfrac{-6}{2}~~,~~\cfrac{3}{2} \right)\implies \left(-3~,~1\frac{1}{2}  \right)
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8 0
2 years ago
O GRAPHS, FUNCTIONS, AND SEQUENCES
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7 0
2 years ago
Point p lies on the directed line segment from A (2,3) to B (8,0) and portions the segment in the ratio 2 to 1
Arturiano [62]

Answer:

The x-coordinate of point P is 6

Step-by-step explanation:

we have

A (2,3) and B (8,0)

we know that

Point P portions the segment AB in the ratio 2 to 1

so

AP=\frac{2}{3} AB

and

AP_x=\frac{2}{3} AB_x

where

AP_x represent the distance between the points A and P in the x-coordinates

AB_x represent the distance between the points A and B in the x-coordinates

AB_x=8-2=6\ units

AP_x=\frac{2}{3} (6)=4\ units

The x-coordinate of P is equal to

P_x=A_x+AP_x

where

A_x represent the x-coordinate of A

substitute the values

P_x=2+4=6

therefore

The x-coordinate of point P is 6

6 0
2 years ago
5. James makes $15.50 per hour and works 40 hours a week. He pays 26% of his gross earnings in federal and state
QveST [7]

9514 1404 393

Answer:

  no

Step-by-step explanation:

On average, there are about 173 1/3 hours per month, so James's take-home pay will be about ...

  ($15.50/h)(173 1/3 h/mo)(1 -26%) = $1988.13

His proposed rental is about ...

  1400/1988.13 · 100% = 70.4%

of his take-home pay.

Most financial planners would recommend the percentage be well below 50%. It is unlikely James can make his proposed monthly payments.

4 0
3 years ago
What is the ratio of girls to boys if there are 15 girls and 5 boys?
WINSTONCH [101]
The answer is 15 : 5

because In mathematics, a ratio is a relationship between two numbers indicating how many times the first number contains the second. For example, if a bowl of fruit contains eight oranges and six lemons, then the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3).
And you said girls : boys

That means 15 : 5 or 15 to 5
8 0
3 years ago
Read 2 more answers
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