2x + 6y = 5
x + 3y = 2 .....multiply by -2
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2x + 6y = 5
-2x - 6y = - 4 ...(result of multiplying by -2)
----------------add
0 = 1 (incorrect).......no solutions because the lines are parallel.
little tip :
if ur system of equations comes out where it is not equal....like 4 = 5, or 6 = 7...then there is no solutions.
if ur system of equations comes out where it is equal...like 5 = 5 or 8 = 8, then there is infinite solutions
if ur system of equations comes out where a variable = a number....like x = 2 or y = 5.....then there is one solution
Answer:
Step-by-step explanation:
using the properties of logarithms, the log of a product gives the addition of logs, and the log of a quotient gives the subtraction of logs;
Answer:
D) x ≥ 3750
Step-by-step explanation:
For this situation, we begin with our expression, 350+0.12x. Since the salesperson wants to earn at least $800, this means she could earn more as well. This is the symbol greater than or equal to:
350+0.12x ≥ 800
Subtract 350 from each side:
350+0.12x-350 ≥ 800-350
0.12x ≥ 450
Divide both sides by 0.12:
0.12x/0.12 ≥ 450/0.12
x ≥ 3750
Answer:
1/12=x/100
Step-by-step explanation:
1/2=x/100
1*100=100
100 dived by 12 =
8
Explanation:
<u>Statement</u> . . . . <u>Reason</u>
1. ∠1 ≅ ∠2, ∠J ≅ ∠K . . . . given
2. AB ≅ BA . . . . reflexive property of congruence
3. ΔABK ≅ ΔBAJ . . . . AAS congruence postulate
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The shared side is congruent with itself. Two angles are said to be congruent, and one of those is adjacent to the shared side. This is the setup for claiming AAS congruence.
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<em>Additional comment</em>
It is a good idea to be familiar with the ways triangle congruence can be claimed. There are basically 4 of them: SSS, SAS, ASA, AAS. The special case of two sides and an angle can only be claimed in the form of HL for right triangles.
In these abbreviations, S represents a side; A represents an angle. The order is important: SAS represents the case of the angle being between the two sides, for example.