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elena-14-01-66 [18.8K]

3 years ago

10

Solve using the systems of linear inequalities

la1" title="4x + y \geqslant 2" alt="4x + y \geqslant 2" align="absmiddle" class="latex-formula">

1 answer:

Archy [21]3 years ago

5 0

The linear inequality for x is x ≥ 1/2-y/4
The linear inequality for y is y ≥ 2-4x

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Answer:

1728 yds

Step-by-step explanation:

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3 years ago

The length of ZX is 2 units. What is the perimeter of triangle XYZ?

dezoksy [38]

Keywords

triangle,perimeter,distance, length, side, points

we know that

The <u>perimeter</u> of a<u> triangle</u> is the sum of the three <u>length</u> <u>side</u>

To find the<u> length</u> <u>side</u> calculate the <u>distance</u> between two <u>points</u>

The formula to calculate the <u>distance</u> between to <u>points</u> is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Step 1

Find the <u>distance</u> ZY

$Z(1,0)\\Y(3,1)$

substitute the values

$d=\sqrt{(1-0)^{2}+(3-1)^{2}}$

$dZY=\sqrt{5}\ units$

Step 2

Find the <u>distance</u> XY

$X(-1,4)\\Y(3,1)$

substitute the values

$d=\sqrt{(1-4)^{2}+(3+1)^{2}}$

$dXY=\sqrt{25}=5\ units$

Step 3

Find the <u>perimeter</u> of the <u>triangle</u>

$P=ZX+ZY+XY$

we have

$dZX=2\sqrt{5}\ units$

$dZY=\sqrt{5}\ units$

$dXY=5\ units$

Substitute

$P=(2\sqrt{5}+\sqrt{5}+5)\ units$

therefore

the answer is

$P=(3\sqrt{5}+5)\ units$

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Are you sure you wrote it right because it should be -42.99

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Step-by-step explanation:

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