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PSYCHO15rus [73]
3 years ago
9

Explain the difference in the solutions of linear inequalities and the solutions of systems of linear inequalities.

Mathematics
1 answer:
adoni [48]3 years ago
6 0
Linear Equation

A linear equation is any equation involving one or two variables whose exponents are one. In the case of one variable, one solution exists for the equation. For example, with 2x = 6, x can only be 3.

Linear Inequalities

A linear inequality is any statement involving one or two variables whose exponents are one, where inequality rather than equality is the center of focus

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A student solved the following problem and made an error: Triangles ABC and DEF. Angles A and F are congruent and measure 135 de
dmitriy555 [2]
We have that
triangle ABC coordinates
A (0,2)  B(2,4)  C(0,0)

triangle DEF coordinates 
D (2,0)  E ( 4,4)  F (4,2)

using a graph tool
see the attached figure

therefore

Line 1<span> Segment AC equals 2. Segment FE equals 2. Segment AC is congruent to segment FE 
</span>so
Segment AC equals 2-------> is correct
Segment FE equals 2-----> is correct
Segment AC is congruent to segment FE------> is correct

<span>Line 2 ∠A ≅ ∠F------> is correct
</span>
<span>Line 3 Length of segment AB. A (0, 2) B (2, 4) d equals square root of quantity x sub 2 minus x sub 1 squared plus quantity y sub 2 minus y sub 1 squared, d equals square root of quantity 0 minus 2 all squared plus quantity 2 minus 4 all squared, d equals square root of negative 2 squared plus negative 2 squared, d equals square root of 4 plus 4, d equals square root of 8 segment AB = 2.83
</span>
find the distance AB
d=√[(4-2)²+(2-0)²]--------> d=√[4+4]-----> d=√8-----> d=2.83
AB=2.83
so
Line 3 is correct

<span>Line 4 Length of segment DE. D (2, 0) E (4, 4) d equals square root of quantity x sub 2 minus x sub 1 squared plus quantity y sub 2 minus y sub squared, d equals square root of quantity 2 minus 4 all squared plus quantity 0 minus 4 all squared, d equals square root of negative 2 squared plus negative 4 squared, d equals square root of 4 plus 16, then d equals square root of 20 segment DE = 4.47
</span>
find the distance DE
d=√[(4-0)²+(4-2)²]--------> d=√[16+4]-----> d=√20-----> d=4.47
DE=4.47
so
Line 4------> is correct

<span>Line 5 segment AB is congruent with segment DE
AB is not congruent with DE
so
Line 5 is not correct

therefore

the answer is
</span><span>the student make the first mistake in line 5</span><span>

</span>

6 0
3 years ago
PLEASE HELP QUICKLY;; WILL GIVE 40 POINTS!
noname [10]

Since only the first term has ax for coefficients the GCF cant be -3ax^5.

The GCF would be -3a

Factor -3a out of all the terms:

-3a(2x^7)-3a(-4a^5)-3a(a^4)

Now factor -3a out of the equation for the final answer:

-3a(2x^7-4a^5+a^4)

4 0
3 years ago
Read 2 more answers
HELP ASAP plz, 45 pts
torisob [31]

Answer:

She didn't take the LCM, made an error while cross multiplying

x = -6

Step-by-step explanation:

a)she didn't take the LCM before cross multiplying.

Also, didn't cross multiply correctly

b) 1 -2/(x-2) = (x+1)/(x+2)

1 - 2/(x-2) = (x+2-1)/(x+2)

1 - 2/(x-2) = 1 - 1/(x+2)

1 - 2/(x-2) = 1 - 1/(x+2)

-2(x+2) = -1(x-2)

-2x-4 = -x+2

x = -6

8 0
3 years ago
BehaviorIsm qq oakqlqlwlskq
vagabundo [1.1K]
What the heck do you mean??????????
6 0
3 years ago
-
love history [14]

Answer: 35000/20000=1.75 pound

Step-by-step explanation:

7 0
3 years ago
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