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3 years ago

Find the distance between the two points.

Mathematics

1 answer:

Ksenya-84 [330]3 years ago

4 0

Hey there!

Distance formula:

d = $\sqrt{(x_{2}-x_{1})+(y_{2}-y_{1}) }$

Plug in variables:

d = $\sqrt{(0-(-6))+(0-(-7))}$

Simplify.

d = $\sqrt{6+7}$

d = $\sqrt{13}$

The distance between the two points is $\sqrt{13}$ units.

Hope this helps!

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Solve the system of inequalities to decide if the point (-3,2) is part of the solution; y<=-4x-3, +8y>=7

inna [77]

Answer:

$(x,y) = (-3,2)$ is a solution

Step-by-step explanation:

Given

$y \le -4x + 3$

$x + 8y \ge 7$

Required

Determine if $(x,y) = (-3,2)$ is a solution

$y \le -4x + 3$ becomes

$2 \le -4 * -3 + 3$

$2 \le 15$ --- this is true

$x + 8y \ge 7$

$-3+ 8 * 2 \ge 7$

$13 \ge 7$ --- this is also true

Hence,

$(x,y) = (-3,2)$ is a solution

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3 years ago

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olchik [2.2K]

Answer:

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Step-by-step explanation:

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