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3 years ago

What is the value of the x variable in the solution to the following system of equations?

Mathematics

1 answer:

harkovskaia [24]3 years ago

8 0

Its A. x=4

procedure: 3*equation1 - 2*equation2 ⇒ x=4

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X^2+10x+16=0 how to slove this question?

Ksju [112]

You can factor this
x^2 + 10x + 16 = 0

(x + 8)(x + 2) = 0

so x + 8 =0 or x + 2 = 0

x = -8, -2

8 0

3 years ago

Consider the quadratic equation x squared = 4x - 5. how many solutions does the equation have?

snow_lady [41]

Answer:

The quadratic equation has two complex solutions

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form $ax^{2} +bx+c=0$ is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^{2}=4x-5$

Equate to cero

$x^{2}-4x+5=0$

$a=1\\b=-4\\c=5$

substitute in the formula

$x=\frac{4(+/-)\sqrt{-4^{2}-4(1)(5)}} {2(1)}$

$x=\frac{4(+/-)\sqrt{16-20}} {2}$

$x=\frac{4(+/-)\sqrt{-4}} {2}$

Remember that

$i^{2}=-1$

$x=\frac{4(+/-)2i} {2}$

$x=2(+/-)i$

therefore

The quadratic equation has two complex solutions

5 0

3 years ago

What quantity of 75 per cent acid solution must be mixed with a 30 per cent solution to produce 1080 mL of a 50 per cent solutio

Jlenok [28]

Answer: 480 mL, 600 mL

Step-by-step explanation:

Given

The concentration of the first acid is 75%

The concentration of the second acid is 30%

The final mixture has a concentration of 50%

The final volume is 1080 mL

Suppose x and y be the volume of the first and second acid

$\therefore x+y=1080\quad \ldots(i)\\0.75x+0.3y=0.5\times 1080\quad \ldots(ii)$

Solving the above equations we get

$x=480,y=600$

So, the quantity of the first acid is 480 mL and 600 mL for the second mixture.

6 0

3 years ago

Please Answer I don't understanddd

Tamiku [17]

C = 2 pi r given r = 4
so
C = 2 pi (4)
C = 8 pi

answer
C. C = 8pi

3 0

3 years ago

The width of a rectangle is 8 inches shorter than its length. The perimeter of the rectangle is 18 inches. What are the length a

VashaNatasha [74]

Answer:

Step-by-step explanation:

Let length be l

Width, w=l-8

Perimeter = 2(l+w) = 2l+2w

2l+2(l-8)=18

6 0

3 years ago