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Step2247 [10]
3 years ago
11

observe as seguintes situações e sua representação em linguagem matematica dois numeros x e y são tais 2x y=6 x-y=3

Mathematics
1 answer:
agasfer [191]3 years ago
5 0

Answer:

The value of x any y are "-5.29 and 0.79" and "3.79 and -2.29"

Step-by-step explanation:

Given values:

2xy =6.....(a)\\\\x-y= 3.....(b)\\\\

After solve equation (a) we get

\ equation: \\\\2xy= 6\\\\xy =\frac{6}{2} \\\\xy = 3.....(x)\\\\

After solve equation (b) we get

\ equation: \\\\x-y =3\\\\x= 3+y....(x1)\\

put the value of x in to equation (x)

(3+y)y = 3\\

y^2+3y-3=0\\\\\ compare \ the \ value \ with \ ay^2+by+c=0\\a= 1\\b=3\\c=-3\\\ Formula: \\y= \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\y= \frac{-3\pm \sqrt{9+12}}{2}\\y= \frac{-3\pm \sqrt{21}}{2}\\

The value of y is = -5.29 and 0.79, put the value of y in x1 equation so, we get: 3.79 and -2.29

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Using the information in the customer order, determine the length and width of the garden. Enter the dimensions. ↓
SashulF [63]

Answer:

Length: 14 feet   Width: 1 foot

Step-by-step explanation:

This is the only way to have a rectangle that has a perimeter of 30 feet, and an area of 14 feet.

For perimeter:

14 + 14 = 28

1 + 1 = 2

2 + 28 = 30

These dimensions have a perimeter of 30.

For area:

14 x 1 = 14

These dimesnions also have an area of 14.

So, 14 and 1 are the correct dimensions!

6 0
2 years ago
Determine the length of the diagonals of the isosceles trapezoid below when KL= h+7 and UE= 4h-25
mina [271]

Answer:

KL= 17.67 unit

UE = 17.67 unit

Step-by-step explanation:

Given:

Diagonals

KL= h+7

UE = 4h-25

Find:

Length of diagonals KL and UE

Computation:

We know that in isosceles trapezoid the length of diagonals are equal

So,

KL = UE

h+7 = 4h-25

3h = 32

h = 10.67

So,

KL= h+7

KL= 10.67+7

KL= 17.67 unit

UE = 4h-25

UE = 4(10.67)-25

UE = 17.67 unit

6 0
3 years ago
Johanna can jog 3,000 feet in 5 minutes. If she jogs at the same rate, how many feet can she jog in 8 minutes? *
olya-2409 [2.1K]
The answer is B (4,800)

Why?

Because we divide 3,500 feet by 5 and that will give us 600. Why we had to divide is because we need to find how many feet in minutes. So we do 600 times 8 and that gives us 4,800. Please mark me as branlist! Hope this helped! :)
6 0
3 years ago
Trig. Ratios of perimeters and areas.
fenix001 [56]

Answer:

8:9

Step-by-step explanation:

ratio of areas = (ratio of sides)²

64/81 = (ratio of sides)²

Square root both sides

8/9 = ratio of sides

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3 years ago
17. Which of the following is a factor of both x^2 - x - 6 and x^2- 5x+6?
andreyandreev [35.5K]

Step-by-step explanation:

For the equation x^{2} - x - 6, factoring gives us the following:

(x - 3)(x + 2)

For the equation x^{2} - 5x + 6, factoring gives us the following:

(x - 3)(x - 2)

From this, we see that the common factor is (x - 3)

7 0
3 years ago
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