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LenKa [72]
3 years ago
10

If A(x1, y1), B(x2, y2), C(x3, y3), and D(x4, y4) form two line segments, and , which of these conditions needs to be met to pro

ve that. ?
Mathematics
2 answers:
Gnoma [55]3 years ago
5 0
You are asking for the condition needed for the 
<span>two segments to be perpendicular to each other. </span>

<span>If the slope of one segment is m, then the slope of a perpendicular segment would be -1/m </span>

<span>this means that m2 = -1/m and so m2 x m = -1 </span>

<span>If you look carefully at your choices, the 3rd answer involves the two slope and has the -1. It's </span>
<span>the correct answer.</span>
Solnce55 [7]3 years ago
3 0
The condition that seems to fit the bill in regards to, two line segments to be actually perpendicular to one another is "C" or the third choice (x3, y3). Now the obvious question is to how one gets to this conclusion? Now if one considers one segment to be equal to "m", then the perpendicular segment to it would be "-1/m". This also means
m^2 = -1/m
m^2 * m = -1
This actually proves that "C" is the correct answer.
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igomit [66]

Answer:

18÷120(100)

=0.15

=15%

so the answer is 15%

4 0
3 years ago
Find the missing term!<br><br> if y=1+i, then y^3-3y^2+(-3y,-3y+1,3y,3i)-1=-i
Kazeer [188]
Y = 1 + i 

<span>(1 + i)^3 - 3 * (1 + i)^2 + k - 1 = -i </span>
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4 0
3 years ago
I need you to answer with a, b, c, d
solong [7]

To find the zeros of a quadratic fiunction given the equation you can use the next quadratic formula after equal the function to 0:

\begin{gathered} ax^2+bx+c=0 \\  \\ x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \end{gathered}

For the given function:

f(x)=2x^2-10x-3x=\frac{-(-10)\pm\sqrt[]{(-10)^2-4(2)(-3)}}{2(2)}x=\frac{10\pm\sqrt[]{100+24}}{4}\begin{gathered} x=\frac{10\pm\sqrt[]{124}}{4} \\  \\ x=\frac{10\pm\sqrt[]{2\cdot2\cdot31}}{4} \\  \\ x=\frac{10\pm\sqrt[]{2^2\cdot31}}{4} \\  \\ x=\frac{10\pm2\sqrt[]{31}}{4} \\  \end{gathered}\begin{gathered} x_1=\frac{10}{4}+\frac{2\sqrt[]{31}}{4} \\  \\ x_1=\frac{5}{2}+\frac{\sqrt[]{31}}{2} \end{gathered}\begin{gathered} x_2=\frac{10}{4}-\frac{2\sqrt[]{31}}{4} \\  \\ x_2=\frac{5}{2}-\frac{\sqrt[]{31}}{2} \end{gathered}

Then, the zeros of the given quadratic function are:

\begin{gathered} x=\frac{5}{2}+\frac{\sqrt[]{31}}{2} \\  \\ x_{}=\frac{5}{2}-\frac{\sqrt[]{31}}{2} \end{gathered}

Answer: Third option

8 0
2 years ago
Students in an introductory statistics course were asked the following questions as part of a class survey:(1) What is your gend
11Alexandr11 [23.1K]

Answers:

Gender = categorical, nominal variable

Sleep length = numerical, continuous

Bedtime = categorical, ordinal

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Scale of dreading semester = categorical, ordinal

=========================

Explanation:

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Sleep length is numerical as it deals with numbers. I put continuous because someone could write 2.5 hours or 3.75 hours. If whole numbers are only allowed, then the variable would be discrete.

The bedtime portion is categorical as each time slot is a category. Like with the first part, they are simply labels. We can order them however from earliest to later on, which is why this variable is ordinal.

The number of countries visited is numeric as expected, and it's also discrete because we can't visit 0.1 of a country. By "visit", I mean step foot in any part of the country for any length of time. It does not mean you have to explore every square inch of the territory.

The last part is categorical and ordinal. The scale ranking is ordered for us from 1 to 5. Despite the fact we have numbers here, the data is not numerical as the numbers 1 through 5 represent labels of "very little" through "a lot".

5 0
3 years ago
36. Which side of the triangle in the diagram is the hypotenuse?<br> A X<br> B. Y<br> C. Z
Nikolay [14]

Answer:

C) Z

Step-by-step explanation:

In the right triangle, X and Y are side lengths, while Z is the hypotenuse, so C is the correct answer.

6 0
3 years ago
Read 2 more answers
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