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3 years ago

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Find the coordinates of the midpoint

1 answer:

Bond [772]3 years ago

3 0

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ P(\stackrel{x_1}{-8}~,~\stackrel{y_1}{16})\qquad Q(\stackrel{x_2}{6}~,~\stackrel{y_2}{-8}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{6-8}{2}~~,~~\cfrac{-8+16}{2} \right)\implies \left( \cfrac{-2}{2}~,~\cfrac{8}{2} \right)\implies (-1~,~4)$

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leonid [27]

Answer:

The value of a = 5.8

The value of b = 4.4

Step-by-step explanation:

Given

7.2, a, b, 3 are in A.P

$2a = 7.2+b$

$b = 2a - 7.2$

as

a, b, 3 are also in A.P

$2b\:=\:a\:+\:3$

Putting $b = 2a - 7.2$

$2\left(2a-7.2\right)=a+3$

$4a-14.4=a+3$

$\mathrm{Add\:}14.4\mathrm{\:to\:both\:sides}$

$4a-14.4+14.4=a+3+14.4$

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$4a-a=a+17.4-a$

$3a=17.4$

$\mathrm{Divide\:both\:sides\:by\:}3$

$\frac{3a}{3}=\frac{17.4}{3}$

$a=5.8$

Now, plugging $a=5.8$ in $b = 2a - 7.2$

$b=2\left(5.8\right)-7.2$

$b=2\cdot \:5.8-7.2$

$b=11.6-7.2$

$b=4.4$

Therefore,

The value of a = 5.8

The value of b = 4.4

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3 years ago

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topjm [15]

Any number bigger than 3
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Lyrx [107]

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KiRa [710]

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Read 2 more answers

1+4=5 2+5=12 3+6=21 what is 8+11=

BlackZzzverrR [31]

8+11 is 19 Hope it helped

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