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Vladimir [108]
4 years ago
7

What are the solutions of |3x + 2| >9?​

Mathematics
1 answer:
frosja888 [35]4 years ago
8 0

Answer

-11/3>x>7/3

Step-by-step explanation:

|3*7/3+2|=9

|7+2|=9

|9|=9

9=9

therefore, x must be > 7/3

|3*-11/3+2|=9

|-11+2|=9

|-9|=9

9=9

therefore, x must be < -11/3

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(6-5)=1 (5-1)=4 5+4=9 9-4=5
8 0
3 years ago
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Which expression represents the area of the shaded region?
irina1246 [14]

Given:

A circle of radius r inscribed in a square.

To find:

The expression for the area of the shaded region.

Solution:

Area of a circle is:

A_1=\pi r^2

Where, r is the radius of the circle.

Area of a square is:

Area=a^2

Where, a is the side of the square.

A circle of radius r inscribed in a square. So, diameter of the circle is equal to the side of the square.

a=2a

So, the area of the square is:

A_2=(2r)^2

A_2=4r^2

Now, the area of the shaded region is the difference between the area of the square and the area of the circle.

A=A_2-A_1

A=4r^2-\pi r^2

A=4r^2-\pi r^2

A=r^2(4-\pi )

Therefore, the correct option is (a).

5 0
3 years ago
Find the minimum point for the function f(x) = |2x - 1| (0, ½) (½, 0) (0, -½) (-½, 0)
torisob [31]
Minimum point of an absolute value function is when f(x) = 0
0 = <span>|2x - 1|
2x</span> - 1 = 0
2x = 1
x = 1/2

Minimum point is (1/2, 0)
6 0
3 years ago
How u write an inequality for brigitte is shorter than 5 feet (brigitte height =h)
padilas [110]
You have said that Brigitte is shorter than 5 feet. Translating your statement into rigorous mathematical terminology, we would write "Brigitte's height is less than 5 feet.". Then, using 'h' to represent Brigitte's height, and '<' to represent the words "less than", we can write the statement symbolically as [ h < 5 feet ].
4 0
3 years ago
Help me please please
Wittaler [7]

Answer:

It is right

Step-by-step explanation:

Because the hypotenuse must be greater than all the legs, we have that 17 is the hypotenuse. So, we want to determine if 8^2+15^2=17^2.

8^2=8*8=64\\15^2=15*15=225\\17^2=17*17=289\\225+64=289\\

This means the triangle is indeed right!

6 0
3 years ago
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