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3 years ago

10

What is a part of a line hat consists of two points called endpoints, and all the points on the line that are between the endpoi

nts

1 answer:

olya-2409 [2.1K]3 years ago

6 0

Answer:

i think that is called a line segment

Step-by-step explanation:

You might be interested in

Write a polynomial function of the least degree that has roots of 3 and (4 + i).

polet [3.4K]

Answer:

x³ - 11x² + 41x - 51

Step-by-step explanation:

The least number of degree is 3 and the third root should be (4 - i) to make polynomial rational.

<u>The polynomial is:</u>

(x - 3)(x - (4 + i))(x - (4 + i)) =
(x - 3)(x² -x(4 + i + 4 - i) + (4 + i)(4 - i)) =
(x - 3)(x² - 8x + 16 - (-1)) =
(x - 3)(x² - 8x + 17) =
x³ - 8x² + 17x - 3x² + 24x - 51 =
x³ - 11x² + 41x - 51

4 0

2 years ago

Solve the given differential equation by undetermined coefficients. y'' 4y = 7 sin(2x)

kherson [118]

The solution to the given differential equation is yp=−14xcos(2x)

The characteristic equation for this differential equation is:

P(s)=s2+4

The roots of the characteristic equation are:

s=±2i

Therefore, the homogeneous solution is:

yh=c1sin(2x)+c2cos(2x)

Notice that the forcing function has the same angular frequency as the homogeneous solution. In this case, we have resonance. The particular solution will have the form:

yp=Axsin(2x)+Bxcos(2x)

If you take the second derivative of the equation above for yp , and then substitute that result, y′′p , along with equation for yp above, into the left-hand side of the original differential equation, and then simultaneously solve for the values of A and B that make the left-hand side of the differential equation equal to the forcing function on the right-hand side, sin(2x) , you will find:

A=0

B=−14

Therefore,

yp=−14xcos(2x)

For more information about differential equation, visit

brainly.com/question/18760518

8 0

2 years ago

The signs of the product of 263 and 0 is

Mashcka [7]

The answer to the question is 0

6 0

3 years ago

Read 2 more answers

Omar wants to buy some shoes online for $32 per pair including tax, and the shipping is $4.

Alika [10]

Answer:

If the price of the shoes doesn't change and the shipping doesn't change the answer would be 2

Step-by-step explanation:

100 ÷ 32 is 2.8

3 0

3 years ago

The lengths of two sides of a triangle are 10 and 24, and the third side is x. How many whole number values are possible for x.

solong [7]

Answer:

$20$ .

Step-by-step explanation:

In any triangle, the sum of the lengths of any two sides should be strictly greater than the length of the third side. For example, if the length of the three sides are $a$ , $b$ , and $c$ :

$a + b > c$ ,

$a + c > b$ , and

$b + c > a$ .

In this question, the length of the sides are $10$ , $24$ , and $x$ . The length of these sides should satisfty the following inequalities:

$10 + 24 > x$ ,

$10 + x > 24$ , and

$24 + x > 10$ .

Since $x > 0$ , the inequality $24 + x > 10$ is guarenteed to be satisfied.

Simplify $10 + 24 > x$ to obtain the inequality $x < 35$ .

Similarly, simplify $10 + x > 24$ to obtain the inequality $x > 14$ .

Since $x$ needs to be a whole number, the greatest $x$ that satisfies $x < 35$ would be $34$ . Similarly, the least $x\!$ that satisfies $x > 14$ would be $15$ . Thus, $x\!\!$ could be any whole number between $15\!$ and $34\!$ (inclusive.)

There are a total of $34 - 15 + 1 = 20$ distinct whole numbers between $15$ and $34$ (inclusive.) Thus, the number of possible whole number values for $x$ would be $20$ .

5 0

2 years ago