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3 years ago

What is the length of line segment S T if S is at -5,-1 and T is at -1,12? Round to the nearest hundredth.

1 answer:

4 0

Distance formula : d = sqrt (x2 - x1)^2 + (y2 - y1)^2
(-5,-1)(-1,12)

d = sqrt (-1-(-5)^2 + (12 - (-1)^2
d = sqrt (-1 + 5)^2 + (12 + 1)^2
d = sqrt (4^2) + (13^2)
d = sqrt (16 + 169)
d = sqrt 185
d = 13.60 <==

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3 years ago

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3 years ago

Solve each system by substitution 2x + y = 20 and 6x - 5y = 12

ivolga24 [154]

$\huge\mathbf{Answer࿐}$

$\underline{ \underline{ \bf{step} - 1}}$

Taking first equation,

$2x + y = 20$

$y = 20 - 2x$

$\underline{ \underline{ \bf{step} - 2}}$

plugging the value of y in second equation,

$6x - 5y = 12$

$6x - 5(20 - 2x) = 12$

$6x - 100 + 10x = 12$

$16x = 12 + 100$

$x = \dfrac{112}{16}$

$x = 7$

$\underline{ \underline{ \bf{step} -3}}$

plugging the value of x in first equation,

$2x + y = 20$

$(2 \times 7) + y = 20$

$14 + y = 20$

$y = 20 - 14$

$y = 6$

<h2>Conclusion :</h2>

$x = 7$
$y = 6$

____________________________

$\mathrm{ \#TeeNForeveR}$

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2 years ago