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4 years ago

Solve. |x+5|>12 Help it would be great

Mathematics

1 answer:

meriva4 years ago

5 0

Answer:

x < - 17 or x > 7

Step-by-step explanation:

Inequalities of the form | x | > a always have solutions of the form

x < - a or x > a

For | x + 5 | > 12, then

x + 5 < - 12 or x + 5 > 12 ( subtract 5 from both sides of the inequalities )

x < - 17 or x > 7

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Step-by-step explanation:

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3 years ago

ABC has the points A(1,7) B(-2,2) and C(4,2) as it’s vertices

tekilochka [14]

Part 1

Using the distance formula,

$AB=\sqrt{(-2-1)^{2}+(2-7)^{2}}=\sqrt{34}\\\\BC=\sqrt{(-2-4)^{2}+(2-2)^{2}}=6\\\\AC=\sqrt{(1-4)^{2}+(7-2)^{2}}=\sqrt{34}$

So, the measure of the longest side is 6 units.

Part 2

Triangle ABD will have vertices A(1,7), B(-2, 2), and D(1,2).

We already know that $AB=\sqrt{34}$

Using the distance formula,

$AD=\sqrt{(1-1)^{2}+(7-2)^{2}}=5\\\\BD=\sqrt{(-2-1)^{2}+(2-2)^{2}}=3$

So, ABD is a scalene triangle.

Part 3

From part 2, we know that the length of side AD is 5 units.

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2 years ago