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3 years ago

A triangle has side lengths of 12, 15, and x. The value of x must ne greater than what?

Mathematics

1 answer:

Bezzdna [24]3 years ago

7 0

Answer:

3 < x < 27

Step-by-step explanation:

We can't tell what "must ne greater" means, so we'll tell you the limits on the side length and you can choose the one that is relevant.

The third side of a triangle must have a length that lies between the difference and sum of the two lengths you know.

15 -12 = 3

15 +12 = 27

The value of x must be between 3 and 27:

3 < x < 27

If you allow the triangle to have zero area, then x can be 3 or 27. Many authors claim such a "triangle" is not allowed, so don't allow those cases.

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Using the exponential function 2x + 3, what is the average rate of change between the values 1 ≤ x ≤ 5?

german

Answer:

idk

Step-by-step explanation:

7 0

2 years ago

The triangular numbers are defined by the recursive formula t1 = 1, tn = tn - 1 + n, where n ∈N and n > 1. What are the first

GalinKa [24]

ANSWER

C) 1, 3, 6, 10, 15, 21, 28, 36, 45

EXPLANATION

The recursive formula is,

$t_1=1,t_n=t_{n-1}+n$

when n is a natural number greater than 1.

When n=2,

$t_2=t_{2-1}+2$

$t_2=t_{1}+2 = 1 + 2 = 3$

when n=3,

$t_3=t_{2}+2 = 3 + 3= 6$

when t=4,

$t_4=t_{3}+2 = 6+ 4= 10$

When t=5,

$t_5=t_{4}+5 = 10 + 5 = 15$

when t=6,.

$t_6=t_{5}+6 = 15 + 6 = 21$

when t=7

$t_7=t_{6}+7 = 21 + 7 = 28$

When t=8,

$t_8=t_{7}+8 = 28 + 8 = 36$

When t=9,

$t_9=t_{8}+9 = 36 + 9 = 45$

Hence the first nine triangular number are

C) 1, 3, 6, 10, 15, 21, 28, 36, 45

3 0

2 years ago

Ave had a rectangular garden that is shown below. The garden's area is 32 square feet. The length of the width is 4 feet. What i

Arlecino [84]

Answer:

The length of Ave's garden is 8 feet.

Step-by-step explanation:

The area of a rectangle can be calculated by:

A = l × w

Where; A represents the area, l the length and w, width.

Thus from the question,

32 = l × 4

l = 32 /4

l = 8

Therefore, the length of the garden required is 8 feet.

4 0

3 years ago

Read 2 more answers

1. What is a sequence?

Arturiano [62]

Answer:

1. A particular order in which related events, movements, or things follow each other.

2. A term

3. Patterns offer visual clues to an underlying order. Patterns can also be used as a template that will enable one to quickly analyze a situation and understand how it works.

4. Sequence of numbers such that the difference between the consecutive terms is constant.

3 0

3 years ago

Show that the transformation T defined by T(x1, x2) = (2x1 - 3x2, X1+4, 5x2) is not linear.

erastovalidia [21]

Let u = (1, 0) and v = (0, 1). Then

T (u) = (2*1 - 3*0, 1 + 4, 5*0) = (2, 5, 0)

T (v) = (2*0 - 3*1, 0 + 4, 5*1) = (-3, 4, 5)

=> T (u) + T (v) = (-1, 9, 5)

but

T (u + v) = T (1, 1) = (2*1 - 3*1, 1 + 4, 5*1) = (-1, 5, 5)

=> T (u + v) ≠ T (u) + T (v)

which means T does not preserve addition, so it is not linear.

4 0

2 years ago