All categories

3 years ago

Solve the inequality 3(x+2)>0

Mathematics

1 answer:

Goryan [66]3 years ago

4 0

Distribute
3x+6>0

Subtract 6 from both sides
3x>-6

Divide both sides by 3
x>-2

Final answer: x>-2

You might be interested in

The length of the base edge of a pyramid with a regular hexagon base is represented as x. The height of the pyramid is 3 times l

sergij07 [2.7K]

Answer:

(a)

h=3x

(b)

$A=\frac{\sqrt{3} }{4} x^2$

(c)

$A=\frac{3\sqrt{3} }{2} x^2$

(d)

$V=\frac{3\sqrt{3} }{2} x^3$ units^3

Step-by-step explanation:

We are given a regular hexagon pyramid

Since, it is regular hexagon

so, value of edge of all sides must be same

The length of the base edge of a pyramid with a regular hexagon base is represented as x

so, edge of base =x

b=x

Let's assume each blank spaces as a , b , c, d

we will find value for each spaces

(a)

The height of the pyramid is 3 times longer than the base edge

so, height =3*edge of base

height=3x

h=3x

(b)

Since, it is in units^2

so, it is given to find area

we know that

area of equilateral triangle is

$=\frac{\sqrt{3} }{4} b^2$

h=3x

b=x

now, we can plug values

$A=\frac{\sqrt{3} }{4} x^2$

(c)

we know that

there are six such triangles in the base of hexagon

So,

Area of base of hexagon = 6* (area of triangle)

Area of base of hexagon is

$=6\times \frac{\sqrt{3} }{4} x^2$

$=\frac{3\sqrt{3} }{2} x^2$

(d)

Volume=(1/3)* (Area of hexagon)*(height of pyramid)

now, we can plug values

Volume is

$=\frac{1}{3}\times\frac{3\sqrt{3} }{2} x^2\times (3x)$

$V=\frac{3\sqrt{3} }{2} x^3$ units^3

3 0

3 years ago

Read 2 more answers

You start at (2, -4). You move up 4 units. Where do you end?

NeTakaya

Answer:

(2, 0)

Step-by-step explanation:

Hope This Helps! : )

7 0

3 years ago

Please help with Math :) Thanks!

algol [13]

Last choice the area becomes 25 times greater

6 0

3 years ago

PLEASE HELP ASAP I WILL GIVE 25 POINTS AND BRAINLIEST FOR JUST THIS ONE QUESTION FOR THE CORRECT ANSWER

ohaa [14]

Answer:

Step-by-step explanation:

2x is the parent function and -6 is the y intercept

8 0

3 years ago

Read 2 more answers

6 students took a test, the dot plot shows the score of 5 of these students. The average score of students is 21 ? What was the

bazaltina [42]

Answer:

oooooooooooooooooooooooooooooooooooooooooooh

Step-by-step explanation:

oooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooh

4 0

3 years ago