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3 years ago

Solve the system of equations

Mathematics

2 answers:

Viefleur [7K]3 years ago

7 0

Answer:

Step-by-step explanation:

prisoha [69]3 years ago

4 0

Answer:

x=−6,y=24

x=2,y=−8

Step-by-step explanation:

Graph if needed:

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3 years ago

4(x - 6y)=..................

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3 years ago

A rectangular restaurant kitchen is 24 meters long and 10 meters wide. what is its perimeter?

scZoUnD [109]

Answer:

Step-by-step explanation:

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3 years ago

7. Solve the equation using the quadratic formula.<br> 3x^2 = 2(2x+1)

suter [353]

Answer:

$\rm x = \dfrac{2+\sqrt{10}}{3},\dfrac{2-\sqrt{10}}{3}$

Step-by-step explanation:

A quadratic equation is given to us and we need to solve the equation using the quadratic formula . The given equation is ,

$\rm\implies 3x^2=2(2x+1)$

Open the brackets in RHS ,

$\rm\implies 3x^2= 4x + 2$

Transpose all the terms to LHS ,

$\rm\implies 3x^2-4x-2=0$

The general form of a quadratic equation is ax² + bx + c = 0 , and the roots of the equation by the Quadratic Formula ( Shreedhacharya's Formula ) is given by ,

$\rm\implies\red{ x =\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}}$

Using the quadratic formula , we have ,

$\rm\implies x =\dfrac{-(-4) \pm \sqrt{(-4)^2-4(3)(-2) }}{2(3)}$

Simplify ,

$\rm\implies x =\dfrac{4 \pm \sqrt{16+24 }}{6}$

$\rm\implies x = \dfrac{4\pm \sqrt{40}}{6}$

$\rm\implies x =\dfrac{4\pm 2\sqrt{10}}{6}$

$\rm\implies\boxed{\pink{\frak{ x = \dfrac{2+\sqrt{10}}{3},\dfrac{2-\sqrt{10}}{3}}}}$

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3 years ago

Anais bought 2 1/2 yards of ribbon. She had 1 foot 6 inches of ribbon left after trimming some curtains. How many inches of ribb

vlada-n [284]

2 1/2 yards = 7.5 ft
1 foot and 6 inches = 1.5 ft
7.5-1.5 = 6
6 ft = 72 inches
Anais used 72 inches of ribbon.

6 0

3 years ago

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