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2 years ago

What is the inequality for these two?

Mathematics

1 answer:

Ivanshal [37]2 years ago

6 0

Answer:

x ≥ -2 AND y < 2x

Step-by-step explanation:

the equation for the vertical line is x = -2

the inequality crosses the y-axis at 0 and it's slope is 2 because if you are at the point (-2,-4) you must go up by 4 and then to the right by 2 which reduces to 2

we can write the equation now as:

y = 2x

the shaded portion indicates the solutions to both of these equations so we can say that:

all values that are greater than or equal to -2 AND values less than y=2x

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Find the value for the given variables. Give the variables in simplest radical form. (square root form)

Trava [24]

Answer:

x = 16, y = $16\sqrt{3}$

Step-by-step explanation:

Because that triangle has a 60 degree angle, it is an semi-equilateral triangle.

In a semi-equilateral triangle:

The small side, in this case, x = hypotenuse / 2

The hypotenuse is 32, divide it by 2, and it's 16.

x = 16

In a semi-equilateral triangle:

The large side, in this case, y = small side $\sqrt{3}$

We already stated that the small side is 16, so the large one is just 16 $\sqrt{3}$

Easy!

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3 years ago

Which expression is equivalent to 7 − 9 ?

Pachacha [2.7K]

Answer:

Try subtracting 9 from 7 to find the value.

Step-by-step explanation:

8 0

3 years ago

Are 4/3×2/9 less than 2/9 plz explain

Vsevolod [243]

For multiplying fractions, you just multiply the numerator of the first by the numerator of the second and the denominator of the first by the denominator of the second. Therefore you would get (8/27). To compare fractions, you like to have the same denominator, 2/9 is the same thing as 6/27 (as both the numerator and denominator is multiplied by 3). Therefore, 8/27 is greater than 6/27 and therefore (4/3)*(2/9) is greater than 2/9. You can also think of it in the sense that 4/3 is greater than 1 and you are multiplying it by 2/9 so that quantity will be greater than 2/9.

7 0

3 years ago

Read 2 more answers

A sprinkler head had a 90-degree rotation and shoots 15 feet long. How much area is covered if there are 12 90-degree heads in o

soldi70 [24.7K]

Answer:

A) It can shoot 15 feet long and has a rotation of 90 degrees.

We can write this area:

Area = Angle*radius^2

The radius is 15 ft.

The angle must be written in radians, so we need to writhe 90° in radians.

180° is equal to pi.

Then 90° = (90°/180°)*pi = pi/2

where pi = 3.14

Then our area is:

A = (3.14/2)*(15ft)^2 = 353.25 ft^2

B) If we have 12 of those in one yard, we can cover 12 times that area; this is:

A = 12*(353.25 ft^2) = 4239 ft^2

C) Now we want to find the angle such that the covered area for one sprinkler is equal to 1200 ft^2

Then we can replace it in the equation for the area and get:

1200ft^2 = angle*(15ft)^2 = angle*225 ft^2

angle = 1200/225 = 5.33

But this is in radians, so we may convert it to degrees.

We know that 3.14 = 180°

Then we have

5.33 rads = (5.33/3.14)*180° = 305.5°

7 0

3 years ago

24. Three minus four times a number is equal to ten times a number plus ten.

tigry1 [53]

Answer:

(24) 3 - 4b = 10c + 10

(25) 4(3c+5) = 8

(26) - 6

(27) 4

Step-by-step explanation:

These questions require that words are translated into equations and then may be solved.

(24) Three minus four times a number is equal to ten times a number plus ten.

let the first number be b.

(a)Three minus four times a number ... can be represented as:

3 - (4 x b) = 3 - 4b

(b) ...ten times a number plus 10

let the other number be c. Therefore we have;

(10 x c) + 10 = 10c + 10

Now, three minus four times a number is equal to ten times a number plus ten means that expressions in (a) and (b) above are equal. i.e

3 - 4b = 10c + 10

(25) Four times the quantity of three times c plus 5 is equal to 8.

(a) four times the quantity of three times c plus 5 can be represented as

4 x (3 x c + 5) = 4(3c + 5)

(b) ... is equal to 8. This means that the expression in (a) is equal to 8.

4(3c + 5) = 8

(26) Six less than two thirds of a number is negative ten. Find the number.

(a) six less than can be represented as:

- 6

(b) two thirds of a number can be represented as

( $\frac{2}{3}$ )x [where x is the number]

( $\frac{2}{3}$ )x - 6

(d) ... is negative 10 means that the expression is (c) above is equal to -10. i.e

( $\frac{2}{3}$ )x - 6 = -10

(e) Find the number.

The number can be found by solving for x in the expression in (d) above.

( $\frac{2}{3}$ )x - 6 = -10 [multiply through by 3]

2x - 18 = -30 [collect like terms]

2x = -30 + 18

2x = -12 [divide both sides by 2]

x = - 6

Therefore, the number is -6

(27) Twenty-nine is thirteen added to four times a number. What is the number.

(a) ... thirteen added to four times a number can be written as:

13 + 4b [where the number is b]

(b) Twenty-nine is thirteen added to four times a number means that the 29 is equal to the expression in (a) above. i.e

29 = 13 + 4b

The number can be found by solving for b in the expression in (b) above. i.e

29 = 13 + 4b [collect like terms]

4b = 29 - 13

4b = 16 [divide both sides by 4]

b = 4

Therefore, the number is 4.

5 0

4 years ago