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Crank
3 years ago
5

Solve the equation. x2 - x - 12 = 0

Mathematics
1 answer:
Rudik [331]3 years ago
4 0

Answer:

x = 4 or x = -3

Step-by-step explanation:

Solve for x over the real numbers:

x^2 - x - 12 = 0

The left hand side factors into a product with two terms:

(x - 4) (x + 3) = 0

Split into two equations:

x - 4 = 0 or x + 3 = 0

Add 4 to both sides:

x = 4 or x + 3 = 0

Subtract 3 from both sides:

Answer: x = 4 or x = -3

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Determine whether the following problem involves a permutation or a combination and explain your answer. How many different ​-le
Alex_Xolod [135]

Answer:

B. The problem involves a combination because the order in which the letters are selected does not matter.

Step-by-step explanation:

Computation technique is a method of statistics to find possible ways of combination. In computation technique it is assumed that order does not matter and letters will be selected at random. Permutation is a statistics technique to find possible ways of combination when the order does matter. Permutation technique cannot be used when order does not matter.

4 0
3 years ago
Two circular cylinders are similar. The ratio of the areas of their bases is 9:4. Find the ratio of the volumes of the similar s
OleMash [197]

Answer:

27 : 8

Step-by-step explanation:

Given 2 similar figures with ratio of sides a : b, then

ratio of areas = a² : b² and

ratio of volumes = a³ : b³

Here the ratio of areas = 9 : 4, thus

ratio of sides = \sqrt{9} : \sqrt{4} = 3 : 2

ratio of volumes = 3³ : 2³ = 27 : 8

8 0
3 years ago
A gardener has 46ft of fencing to be used to enclose a rectangular garden that has a border 2 feet wide surrounding it. If the l
LekaFEV [45]
Let the width be x, then the length is 2x
2(x + 4 + 2x + 4) = 46
(3x + 8) = 46/2 = 23
3x = 23 - 8 = 15
x = 15/3 = 5 ft

Therefore, width is 5 feet and length is 2(5) = 10 feet
7 0
3 years ago
Each side of the regular hexagon below measures 8 cm. What is the area of the hexagon? A hexagon is shown. A triangle with a 60
damaskus [11]

Answer:

<u>The area of the hexagon is A. 96√3 cm²</u>

Step-by-step explanation:

Let's recall the formula of the area of an hexagon, this way:

Area = (3√3/2) * s²

Area = (3√3/2) * 8²

Area = (3√3/2) * 64

Area = 192√3/2

Area = 96√3 cm²

<u>The area of the hexagon is A. 96√3 cm²</u>

7 0
3 years ago
at 4:00 p.m a palm tree casts a shadow of 27 feet while 4 foot bird of paradise plant nearby a shadow is 3 feet
Serga [27]
By similar triangles...

p/27=4/3

p=36ft
6 0
3 years ago
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