Solve the equation. 4s=2/5 s= (Type a whole number, fraction, or mixed number.)

Mathematics

1 answer:

BabaBlast [244]2 years ago

6 0

Answer:

s = 1/10

Step-by-step explanation:

First, divide both sides by 4 to get s by itself.

(2/5) / 4 = 1/10

s = 1/10

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One way would be to find the distance from the point to the center of the circle and compare it to the radius

for
$(x-h)^2+(y-k)^2=r^2$
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and the distance formula is
distance between $(x_1,y_1)$ and $(x_2,y_2)$ is
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D=distance form (8,4) to center

if r>D, then (8,4) is inside the circle
if r=D, then (8,4) is on the circle
if r<D, then (8,4) is outside the circle

so
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$(x-(-2))^2+(y-3)^2=(\sqrt{18})^2$
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the radius is $3\sqrt{2}$
center is (-2,3)

find distance between (8,4) and (-2,3)

$D=\sqrt{(8-(-2))^2+(4-3)^2}$
$D=\sqrt{(8+2)^2+(1)^2}$
$D=\sqrt{10^2+1}$
$D=\sqrt{100+1}$
$D=\sqrt{101}$

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$D=\sqrt{101}$ ≈10.04

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I hope this helps you