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4 years ago

A triangle is formed using three given side lengths. Do these lengths always forma unique triangle? Explain.

1 answer:

6 0

No, these do not always forma unique triangles because it depends on what size your sides are because if you have 3 sides of the same length then that’s a equilateral and if you have two sides of the same length and one side that’s not then that would be an Isosceles triangle and if you had no sides of the same length then that would be a scalene triangle.

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what is the difference between all real numbers and no solution how do you know when these situations occur

Naddik [55]

For a solution of 'all real numbers' to occur, you must end up with a statement that is true no matter what

example
simplifying results in x=x or 8=8 or 0=0 or something liek that

an example equation would be 2(x+1)=2x+2, simplifies to x=x or 2=2 or 0=0

no solution is when you get a false statement from simplifying
example, 3=4 or -1=0

an example equation could be 2(x+1)=2x+3, it simplifies to 2=3 which is false

4 0

3 years ago

The area of the base of a rectangular prism is 36 cm2. The height of the prism is 3 5/6 cm. What is the volume of the prism?

Lilit [14]

Answer: The correct option is (C) 36 cm².

Step-by-step explanation: We are given to find the volume of a rectangular prism with base area 36 cm² and height $3\frac{5}{6}~\textup{cm}.$

We know that the volume of a rectangular prism with base area b sq. units and height h units is given by

$V=bh.$

Here,

base area, b = 36 cm²

and

height is

$h=3\dfrac{5}{6}=\dfrac{23}{6}~\textup{cm}.$

Therefore, the VOLUME of the given prism will be

$V=bh=36\times \dfrac{23}{6}=6\times 23=138~\textup{cm}^3.$

Thus, the volume of the given rectangular prism is 36 cm².

Option (D) is CORRECT.

4 0

3 years ago

Read 2 more answers

HELP!! DUE IN 10 MINS!!!

mote1985 [20]

Answer:

x = 12

y = 0

Step-by-step explanation:

Sum them:

2x = 24

so x = 12

12 - y = 12

so y = 0

3 0

3 years ago

If P and Q are predicates over some domain, and if it is true that Vx(P(x)V Q(x)), must VxP(x) v VæQ(x) also be true? Explain.

madam [21]

Answer:

It is not true

Step-by-step explanation:

Suppose your domain is the integer numbers. Define

P(x)="x is even"

Q(x)="x is odd"

So we have that the predicate $\forall x(P(x) \vee Q(x))$ is always true because the integers are always even or odd. But the predicate $\forall x P(x) \vee \forall x Q(x)$ means that <em>all the integer numbers are even</em> or <em>all the integer numbers are odd</em>, which is false. So we can't deduce $\forall x P(x) \vee \forall x Q(x)$ from $\forall x(P(x) \vee Q(x))$ .

8 0

3 years ago

Factor completely. 6x^4-9x^3-36x^2+54x

aniked [119]

Answer:

3x(2x−3)(x2−6)

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

A triangle is formed using three given side lengths. Do these lengths always forma unique triangle? Explain.​

A triangle is formed using three given side lengths. Do these lengths always forma unique triangle? Explain.