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3 years ago

2x + y = 3

Mathematics

2 answers:

OLEGan [10]3 years ago

7 0

The first answer is right

sergejj [24]3 years ago

4 0

Hey there!

First, multiply the second equation by -2 as the problem states. When you multiply the second equation by -2, you get:

-2x+4y=2

Now, add this equation to the first equation in which you simply combine like terms:

2x+y=3

-2x+4y=2

5y= 5

In conclusion, the correct answer would be the first choice.

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Enter the correct answer in the box. solve the equation x2 − 16x 54 = 0 by completing the square. fill in the values of a and b

poizon [28]

The roots of the given polynomials exist $x=8+\sqrt{10}$ , and $x=8-\sqrt{10}$ .

<h3>What is the formula of the quadratic equation?</h3>

For a quadratic equation of the form $a x^{2}+b x+c=0$ the solutions are

$x_{1,2}=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Therefore by using the formula we have

$x^{2}-16 x+54=0$$

Let, a = 1, b = -16 and c = 54

Substitute the values in the above equation, and we get

$x_{1,2}=\frac{-(-16) \pm \sqrt{(-16)^{2}-4 \cdot 1 \cdot 54}}{2 \cdot 1}$$

simplifying the equation, we get

$$&x_{1,2}=\frac{-(-16) \pm 2 \sqrt{10}}{2 \cdot 1} \\$

$$&x_{1}=\frac{-(-16)+2 \sqrt{10}}{2 \cdot 1}, x_{2}=\frac{-(-16)-2 \sqrt{10}}{2 \cdot 1} \\$

$$&x=8+\sqrt{10}, x=8-\sqrt{10}$

Therefore, the roots of the given polynomials are $x=8+\sqrt{10}$ , and

$x=8-\sqrt{10}$ .

To learn more about quadratic equations refer to:

brainly.com/question/1214333

#SPJ4

3 0

1 year ago

Read 2 more answers

the walls of a square room need pain each of the four walls is 12 ft wide by 8.5 feet tall. One gallon of paint covers 75ft^2. h

Bingel [31]

Answer:

You would need 2 1/2 gallons of paint to finish the room.

Step-by-step explanation:

Step 1: 12 x 8.5

Step 2: you should get 102. Then multiply 102 x 4

Step 3: then divide by 150 (which is the quotent of 75 x 2)

Your finally should be 2.72 :)

8 0

3 years ago

There are 24 pens in a desk drawer the cans are either red or blue the ratio of red pens to blue pens is 521 how many red pens a

Romashka-Z-Leto [24]

Idk but u can do it u just have to beleaguere

7 0

3 years ago

What's the slope for coordinates (-5,-5) (5,3)?

Karo-lina-s [1.5K]

Answer:

4/5

Step-by-step explanation:

slope = (difference in y)/(difference in x)

slope = (-5 - 3)/(-5 - 5)

slope = -8/(-10)

slope = 4/5

4 0

2 years ago

Suppose that $a$ is a positive integer for which the least common multiple of $a+1$ and $a-5$ is $10508$. What is $a^2 - 4a + 1$

Nana76 [90]

Answer:

21022.

Step-by-step explanation:

Find the prime factors of 10508:

2 ) 10508

2 ) 5254

37 ) 2627

71.

50208 = 2*2*37*71.

Now there is no integer value for a that would fit (a+ 1)(a - 5) = 10508 .

But we could try multiplying the LCM by 2:-

= 21016 = 2*2*2*37*71.

= 2*2*37 multiplied by 2 * 71

= 148 * 142.

That looks promising!!

a - 5 = 142 and

a + 1 = 148

This gives 2a - 4 = 290

2a = 294

a = 147.

So substituting a = 147 into a^2 - 4a + 1 we get:

= 21022.

4 0

3 years ago