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nydimaria [60]
3 years ago
15

What is the solution set of [1/x-2]<-2

Mathematics
1 answer:
slavikrds [6]3 years ago
7 0

Step-by-step explanation:

1 \div (x - 2) + 2  < 0

(1 + 2x - 4) \div ( x- 2) < 0

(2x - 3)  \div (x - 2) < 0

Hence

You have to put:

2x  - 3 > 0

And

x - 2 > 0

Which results in:

x > 3 \div 2

And

x > 2

The solution is:

3 \div 2 < x < 2

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I need some help, yes this is a repost soz.
Alinara [238K]

Answer:

Whats the question ;-;

Step-by-step explanation:

6 0
3 years ago
The length of a rectangle is twice its width. Find its area, if its perimeter is 7 and 1/3 cm.
laila [671]

Answer:

2.99 cm²

Step-by-step explanation:

<em>(The "..." at the end of the decimal means that number is repeating)</em>

The perimeter of a rectangle is the length around the shape. The equation for a rectangle's perimeter is L + W × 2, with L and W representing length and width, respectively (You multiply the length and width by two because the shape is four-sided, so it has two length sides and two width sides). To find the area of the rectangle, you need to know the individual length and width, so you'll solve for that first.

Since you're only given the perimeter and you know the length is double the width, you'll need to work backwards with this equation. To do this, first divide the perimeter (7 \frac{1}{3}, also written as 7.33...) by 2; this equals 3 \frac{2}{3\\}, also written as 3.66...

Next, you can find the length and width by determining what two numbers multiply to equal 3.66..., with one number being two times larger than the other number. The way I tend to think of this is that if one number is double the other, then the smaller number is one third of the sum of the two numbers (since the smaller number represents one part of the sum, and the other represents two parts of the sum, which is double the smaller number).

Since the length and width combine to be the divided perimeter, 3.66..., that means two thirds of 3.66... is the longer side (the length), and then the one third of 3.66... is the shorter side (the width). This means the length is 2.44... and the width is 1.22...

Finally, you can solve for the perimeter by dividing the perimeter by two and then subtracting the length squared. The written equation looks like this:

A = P\frac{1}{2} - L²

(A = area, P = perimeter, L = lenth)

Now just insert the numbers into the equation and solve!

The area of the rectangle is 2.99cm²

7 0
3 years ago
The midpoint of AB is M(7. – 7). If the coordinates of A are (8,-6), what are the
IRISSAK [1]

Answer: B = (6,-8)

Step-by-step explanation:

first the midpoint formula is (\frac{x1+x2}{2},\frac{y1+y2}{2})

then you take the x co-ordinate of A and substitute it into one of the x values in the first part of the formula:

\frac{8+x}{2}=7

then solve it like an equation:

8+ x=14\\x=6

then you take the y co-ordinate of A and substitute it into one of the y values in the second part of the midpoint formula:

\frac{-6+y}{2} =-7

then solve it like an equation:

-6+y=-14\\y=-8

∴ the answer is x=6, y= -8

which is expressed as a point, B(6,-8)

3 0
3 years ago
What does P(X4=2,X3=3,X2=3,X1=2)
Dmitriy789 [7]

Answer:

its b

Step-by-step explanation:

3 0
3 years ago
Find the total surface area of this triangular prism 13cm 5cm 12cm 9cm 15cm 20cm
labwork [276]

Answer:

924 cm²

Step-by-step explanation:

The surface area is equal to the area of the two triangles + area of the three rectangles.

Area of two triangles:

12 × (9+5) × 1/2

= 84

84(2) = 168

Area of the three rectangles:

15 × 20 + 13 × 20 + 14 × 20

= 840

840 + 84

The surface area of the triangular prism is 924 cm².

6 0
3 years ago
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