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Vaselesa [24]
2 years ago
7

Solve the following inequality.

Mathematics
1 answer:
user100 [1]2 years ago
5 0

Answer:

A

Step-by-step explanation:

Given

21 ≤ - 3(x - 4) < 30 ← divide all 3 intervals by - 3

Remembering to reverse the direction of the signs as a result of dividing by a negative quantity

- 7 ≥ x - 4 > - 10 ← add 4 to each interval

- 3 ≥ x > - 6, that is

- 6 < x ≤ - 3 → A

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Distance between A (2, -1) and (2,a) is 4 units. Find the value of a where a is positive.
kolezko [41]

Answer:

a = 3

Step-by-step explanation:

Calculate the distance d using the distance formula and equate to 4

d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

with (x₁, y₁ ) = (2, - 1) and (x₂, y₂ ) = (2, a)

d = \sqrt{(2-2)^2+(a+1)^2} = \sqrt{0+(a+1)^2} = \sqrt{(a+1)^2} = a + 1 then

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3 0
2 years ago
Simplify 3√20/√5<br><br> a)25/4<br> b)6<br> c)√5/5<br> d2√3/15
Blizzard [7]
<span>3√20/√5
= </span>3 √4 √5<span> / √5
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3 0
3 years ago
The prism below is made of cubes which measure 1/3 of an inch on one side what is the volume
EastWind [94]

Answer:

Volume of rectangular prism = 10/9 inch³

Step-by-step explanation:

Given:

Size of each cube = 1/3 inch

Find:

Volume of rectangular prism

Computation:

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Width of rectangular prism = 3/3

Width of rectangular prism = 1 inch

Height of rectangular prism = 5 x [1/3]

Height of rectangular prism = 5/3 inch

Volume of rectangular prism = Length x Width X Height

Volume of rectangular prism = [2/3] x [1] x [5/3]

Volume of rectangular prism = 10/9 inch³

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Answer:

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