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Goshia [24]
2 years ago
15

Solve the following equations: 5x-(x+2)^2=x^2-8+x

Mathematics
2 answers:
xxTIMURxx [149]2 years ago
6 0

Answer:

x =  \sqrt{2}  = 1.414 \\ x =  -  \sqrt{2}  =  - 1.414

Step-by-step explanation:

5x -  {(x + 2)}^{2}  =  {x}^{2}  - 8 + x \\ \\  5x - ( {x}^{2}  + 4x + 4) =  {x}^{2}  - 8 + x \\  \\ 5x -  {x}^{2}  - 4x - 4 =  {x}^{2}  - 8 + x \\  \\  -  {x}^{2}  + x - 4 =  {x}^{2}  - 8 + x \\  \\   {x}^{2}  +  {x}^{2}  + x - x = 8 - 4 \\  \\ 2 {x}^{2}  = 4 \\  \\  {x}^{2}  =  \frac{4}{2}  \\  \\  {x}^{2}  = 2  \\  \\ x =  \sqrt{2} = 1.414  \\ x =  -  \sqrt{2}  =  - 1.414

Blababa [14]2 years ago
3 0

Answer:

x = √2 = 1.414

Step-by-step explanation:

5x-(x+2)^2=x^2-8+x

since (x+2)^2 = x^2 + 2(x)(2) + 2^2 = x^2 + 4x + 4

so

5x - (x^2 + 4x + 4) = x^2 + x - 8

-x^2 + x - 4 = x^2 + x - 8

x^2 + x^2 + x - x = -4 + 8

2x^2 = 4

x^2 = 2

x = √2 = 1.414

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The length of the rectangle is 5 inches more than the width. The perimeter of the rectangle is 42 inches. Write an equation to m
Sunny_sXe [5.5K]

Answer:

<h2>Length = 13 in. </h2>

 Step-by-step explanation:

perimeter of a rectangle (P) = 2L + 2W

where;

P = 42 in.  

Length (L) = 5 + W

Find:

length (L) of the rectangle

solution:

P = 2L + 2W

42 = 2(5 + W) + 2W

42 = 10 + 2W + 2W

42 - 10 = 4W

32 = 4W

W = 32/4

W = 8

Length (L) = 5 + W

                = 5 + 8

                 = 13 in

proof:

42 = 2(13) + 2(8)

42   = 42 in

4 0
4 years ago
1 Point
Sav [38]

Answer:

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Step-by-step explanation:

6 0
3 years ago
The designer also programs a bird with a path that can be modeled by a quadratic function. The bird starts at the vertex of the
Nady [450]

Answer:

-1.2

Step-by-step explanation:

Given that the designer also programs a bird with a path that can be modeled by a quadratic function.

The bird starts at the vertex of the path at (0, 20) and passes through the point (10, 8).

If we treat this curve as line joining these two points then we can find the slope by the formula

Slope = change in y coordinate/change in x coordinate

Here the points given are

(0,20) and (10,8)

Change in y coordinate = 8-20 = -12\\Change in x coordinate = 10-0 = 10\\Slope = -1.2

Slope of the line that represents the turtle's path

=-1.2

6 0
4 years ago
A garden hose emits 9 quarts of water in 6 seconds how much did the water emit in 10seconds
jarptica [38.1K]

Answer:

In 10 seconds, the garden hose will emit 15 quarts of water.  

Step-by-step explanation:

The amount of water emitted by the garden hose over time can be expressed as a ratio:  9/6, or 9 quarts of water for every 6 seconds of time.  We can then simplify this ratio to 3/2, or 3 quarts of water for every 2 seconds of time.  Since the ratio will remain constant, or the same, over time, we can set up an equivalent ratio, or fraction to find the amount of water emitted in 10 seconds:  3/2 = x/10.  We look at the denominators and see that 2 x 5 = 10.  In order to make the ratios equivalent, we would also multiply the numerator by 5:  3 x 5 = 15, which gives us the amount of water emitted in 10 seconds.  

7 0
3 years ago
Pilar ha comprado un coche, da una entrada y lo quiere pagar en 12 meses. Cada mes va a pagar 600,82€. Si ha dado al principio u
Molodets [167]

Answer:

Pilar va a pagar en total por el coche 14209.84€.

Step-by-step explanation:

Pilar ha comprado un coche, da una entrada y lo quiere pagar en 12 meses.

Cada mes va a pagar 600,82€. Como lo quiere pagar en doce meses, luego de finalizado ese tiempo el precio pagado se calcula como:

12 meses* 600,82€ por mes= 7209,84€

Por otro lado, Pilar ha dado al principio una entrada de 7000€. Entonces, el total a pagar por el coche es calculado como:

7000€ + 7209,84€= 14209.84€

<u><em>Pilar va a pagar en total por el coche 14209.84€.</em></u>

7 0
3 years ago
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