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3 years ago

Describe lengths of three segments that could not be used to form a triangle

1 answer:

8 0

I don't understand, but, two form a triangle your two SHORTEST sides have to equal LARGER than your LONGEST side. Example: 2,3,4
The two shortest sides are 2 and 3. 2+3=5 Is the sum greater than the largest side,4,? Yes, therefore it makes a triangle.

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Helppppp please i need this rn if possible

Norma-Jean [14]

Answer:

X=32

Step-by-step explanation:

3 0

3 years ago

Write a polynomial f(x) that satisfies the given conditions.

patriot [66]

Answer:

$f(x) = (x-4)(x-\frac{1}{2})^2 = x^3-5x^2+4.25x -1$

Step-by-step explanation:

Recall, if we have a polynomial of the form $(x-a)^k \cdot (x-b)^m$ , then we say that a is a zero of multiplicity k and b is a zero of multiplicty m. For example, in the polynomial of the form $(x+5)^10(x-2)^3$ -5 is a zero of multiplicity 10 and 2 is a zero of multiplicity 3. If we want to know the degree of the polynomial, just add the multiplicity of both zeros (13 in our example).

In this case, we know that the degree of our polynomial should be at least 3(multiplicity 2 and multiplicity 1). So, lets take the polynomial of the form

$f(x)=(x-a)(x-b)^2)$ .

In here, a is a zero with multiplicity 1 and b is a zero with multiplicity 2. We are also given that

$f(0) = -1 = (0-a)(0-b)^2 = -a\codt b^2$ .

Which implies that $1 = a\cdot b^2$ . Since the square of any number is a positive number, it must happen that a>0. So, we have that

$b= \pm \sqrt[]{\frac{1}{a}}$ .

We can choose any value of a and solve for b. Let us choose a=4. So we can have b=1/2 or b=-1/2. Let's use b=1/2. So our polynomial would be

$f(x) = (x-4)(x-\frac{1}{2})^2 = x^3-5x^2+4.25x -1$

which we can easily check that f(0)=-1.

6 0

4 years ago

Using elimination method

bogdanovich [222]

Answer:

The value of x is 2 and y is (-5)

Step-by-step explanation:

<h3>Given;</h3>

-7x + y = – 19
-2x + 3y = – 19

The value of x and y

<h3>By Using Elimination Method;</h3>

First name the equation

-7x + y = – 19 ...(1)
-2x + 3y = – 19 ...(2)

Now, Multiply equation (1) by 3 we get,

3 × (-7x + y = – 19)

-21x + 3y = – 57

Now, Eliminate

-21x + 3y = – 57

-2x + 3y = – 19

+ – +

-19x = -38

x = -38/-19

x = 2

Now, Put the value of x in equation (2) we get the value of y.

-7x + y = – 19

-7(2) + y = – 19

-14 + y = -19

-14 + 14 + y = -19 + 14

y = -5

Thus, The value of x is (-5) and the value of y is 2.

<h3>For Verification;</h3>

-7x + y = – 19

-7(2) + (-5) = – 19

-14 – 5 = – 19

-19 = -19

-2x + 3y = – 19

-2(2) + 3(-5) = – 19

-4 – 15 = – 19

-19 = -19

Here, L.H.S = R.H.S

Hence Verified!

-TheUnknownScientist 72

4 0

2 years ago

In the following question, the domain of discourse is a set of students at a university. Define the following predicates: E(x):

Alla [95]

Answer:

From the examples given below:

E(x): x is enrolled in the class T(x): x took the test ,

The following sentences can be translated into something similar like:

1 E(x): All students enrolled in the class.

T(x): All students took the test.

2. E(x): Someone took the test

T(x): Someone are enrolled in the class.

3. E(x): Everyone took the test

T(x): Everyone is enrolled in the class.

4. E(x): At least one student is enrolled in the class

T(x): At least one student did not take the test.

Step-by-step explanation:

8 0

3 years ago

How much higher is 500 than -400 m

STatiana [176]

Answer:

900m

Step-by-step explanation:

So your base is -400m so what you want to do is add up till you get to 0. So you add 400m to get to zero. Then you need to subtract from 500m until you get to 0. So you have 500m. Then you add 400m and 500m (400m+500m) which gives you the answer 900m.

3 0

3 years ago

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