Choose the correct description of the graph of the compound inequality:

1 answer:

8 0

First, let's solve the inequality:
x - 3 < -9
//add 3 to both sides:
x<-6

the second inequality:
x + 5 ≥ 10
//substract 5 from both sides:
x ≥ 5

So we need to map:

x<-6
x ≥ 5

Now, shading will be to the leftof -6 and to the right of 5 - this is compatible with answers A and B.

A closed circle means that the number is included, so the correct answer is A!

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Determine if the given side lengths could be used to form a unique triangle, many different triangles, or no triangles. explain

ehidna [41]

Given sides of length 300 mm or 190 mm, you can form 4 different triangles:

equilateral with sides 190 mm
equilateral with sides 300 mm
isosceles with two sides 190 mm and one side 300 mm
isosceles with two sides 300 mm and one side 190 mm

The triangle inequality requires the sum of the lengths of any two sides be not less than the length of the third side. Since 2×190 > 300, you can mix and match these side lengths any way you want. With three sides and 2 choices for each, there are only a limited number of possibilities.

In the above, we have not listed ones that are simply rotations or reflections of a congruent triangle. (A 190-190-300 triangle looks the same as a 190-300-190 triangle, for example.)

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djverab [1.8K]

Answer:

(-3,-2)

Step-by-step explanation:

Starting at the point (1, 0)

Now we move don 2 units (so the y-value reduces in two units) making now the point (1,0-2) which is (1, -2)

then we move to the left 4 units (so the x-value has now to be decreased in 4 units) making the point: (1-4, -2) which is (-3, -2)

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