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gregori [183]
2 years ago
12

5x + 2y = 7 y = x + 1 What is the solution set of the given system? {(5/7, 12/7)} {(12/7, 5/7)} {(9/7, 16/7)} {(16/7, 9/7)}

Mathematics
1 answer:
Rama09 [41]2 years ago
5 0

5x+2y=7

y=x+1

5x+2(x+1) =7

5x +2x+2=7

7x +2 =7

7x = 5

x = 5/7

y=5/7 +1

y =12/7

(5/7, 12/7)

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slava [35]

Answer:

Step-by-step explanation:

Lines l and m are the parallel lines and 't' is a transversal line,

Therefore, ∠1 ≅ ∠5 [Corresponding angle postulate]

∠5 ≅ ∠7 [Vertical angles theorem]

∠1 ≅ ∠7 [Transitive property]

Therefore, ∠1 ≅ ∠7 [Alternate exterior angles theorem]

4 0
2 years ago
What is the integer of-2​
Gnom [1K]

Answer:

-2

Step-by-step explanation:

The integer of - 2 is - 2 only as integers can be positive and negative whole numbers

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3 years ago
How many, and what type of, solutions does 4x² + 12x + 9 = 0 have? 2 irrational solutions 1 rational solution 2 nonreal solution
SVEN [57.7K]

The discriminant is

\sqrt{ {12}^{2}  - 4(4)(9)}

which is 0.

Since the discriminant is 0, there is only one real solution.

4 0
3 years ago
APEX
Len [333]

Answer:

B. 30

Step-by-step explanation:

A line is 180 degrees, so when we have 100, we subtract that from 180 to get the interior angle of 80.

A triangle has a sum of 180, so we just subtract 80 and 70 from 180 to get 30.

Hope this helps

5 0
2 years ago
Please help please thanks
Alina [70]

Answer:

A

Step-by-step explanation:

Newton's third law states that for every force, there is an equal and opposite reaction. For example, if you collide two objects together, all of the forces in the system would cancel out because energy conserved with the opposite and equal reactions.

Between two examples (2 identical billiard balls and 2 different toy cars), the easiest way to demonstrate Newton's third law is using the 2 balls, since they are identical in shape and mass. When pushing the two balls in the exact same way with the SAME force, the net force of the equation is basically 0;

F_f = F_1 + F_2 = ma - ma = 0

Therefore, A is correct.

If you pushed a toy car and a toy truck towards each other using the same force, the outcome would not be completely opposite since F = ma and masses are different. Instead, to have a completely opposite and equal reaction, the resulting direction and forces are different. The lighter car would accelerate more in the opposite direction to compensate for the lighter mass. Therefore, B is wrong because even though they are different sizes, newton's third law still happens in the resulting direction and forces, but are simply harder to explain due to so many differing factors.

C is wrong, because diameter of two objects has no correlation to the net force equations. Even if two objects have the same diameter, they could have different masses, shapes, elasticity, etc.

D is wrong, because it goes against Newton's 3rd law. Newton's 3rd law is a LAW. Meaning, it is ALWAYS true (unless in some distant future it's disproven). In any and every collision, energy is conserved in some way that net forces equal 0; either in friction, gravitational force, or resulting force, the net force is always 0.

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2 years ago
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