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ale4655 [162]
2 years ago
13

What is the solution to this system of equations? ​

Mathematics
1 answer:
Vika [28.1K]2 years ago
5 0

Answer:

(-2,2)

Step-by-step explanation:

Looking at your graph, the part were both lines intersect/meet is at point (-2,2). Since (-2,2) is the point of intersection, it is the solution to the equations.

Hope this helps ^-^

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OLga [1]

Answer: 36 intersections

Step-by-step explanation:

6 0
3 years ago
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Solve the following quadratic equation by completing the square ✓3x^2 + 10x + 7✓3 = 0​
solmaris [256]

\sqrt{3}x^2+10x+7\sqrt{3}=0\\\\\sqrt3(x^2+\dfrac{10x}{\sqrt{3}}+7)=0\\\\x^2+\dfrac{10x}{\sqrt{3}}+7=0\\\\x^2+\dfrac{10x}{\sqrt{3}}+\dfrac{25}{3}-\dfrac{25}{3} +7=0\\\\(x+\dfrac{5}{\sqrt{3}})^2 = \dfrac{4}{3}\\\\|x+\dfrac{5}{\sqrt{3}}| = \dfrac{2}{\sqrt{3}}\\\\x_1 =   \dfrac{2}{\sqrt{3}}-\dfrac{5}{\sqrt{3}} = -\dfrac{3}{\sqrt{3}} = -\sqrt{3}\\\\x_2 =    -\dfrac{2}{\sqrt{3}}-\dfrac{5}{\sqrt{3}} = \dfrac{-7}{\sqrt{3}} = -\dfrac{-7\sqrt{3}}{3}

5 0
3 years ago
9th grade math help me please and thank you sosomuch
Varvara68 [4.7K]

Answer:

The system is consistent; it has one solution ⇒ D

Step-by-step explanation:

A consistent system of equations has at least one solution

  • The consistent independent system has exactly 1 solution
  • The consistent dependent system has infinitely many solutions

An inconsistent system has no solution

In the system of equations ax + by = c and dx + ey = f, if

  1. a = d, b = e, and c = f, then the system is consistent dependent and has infinitely many solutions
  2. a = d, b = e, and c ≠ f, then the system is inconsistent and has no solution
  3. a ≠ d, and/or b ≠ e, and/or c ≠ f, then the system is consistent independent and has exactly one solution

In the given system of equations

∵ -2y + 2x = 3 ⇒ (1)

∵ -5y + 5x = 12 ⇒ (2)

→ By comparing equations (1) and (2)

∵ -2 ≠ -5

∵ 2 ≠ 5

∵ 3 ≠ 12

→ By using the 3rd rule above

∴ The system is consistent independent and has exactly one solution

∴ The system is consistent; it has one solution

7 0
3 years ago
Which is the slope of the line y = -3x + 2?<br><br><br> A. -3<br> B. -2<br> C. 2<br> D. 3
alexandr1967 [171]
The answer is A -3.
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3 years ago
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LCM for 2 and 13 plz help me out
Andrei [34K]

[ Answer ]

\boxed{\bold{LCM \ = \ 26}}

[ Explanation ]

  • Find LCM For 2 & 13

-------------------------------------

LCM - The smallest number that two or more numbers can evenly fit into

  • LCM - What We Know
  • 2 & 13 Must Evenly Fit
  • Must Be Smallest Number They Both Fit Into
  • Multiple Of Two Or More Numbers

The Smallest Number That Both 2 & 13 Evenly Fit Into Is 26

26 ÷ 2 = 13

26 ÷ 13 = 2

\boxed{\bold{[] \ Eclipsed \ []}}

5 0
3 years ago
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