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DerKrebs [107]
3 years ago
7

Find parametric equations and symmetric equations for the line. (Use the parameter t.) The line through (3, 5, 0) and perpendicu

lar to both i + j and j + k x(t), y(t), z(t) = The symmetric equations are given by −(x − 3) = y − 5 = z. x + 3 = −(y + 5), z = 0. x − 3 = y − 5 = −z. x + 3 = −(y + 5) = z. x − 3 = −(y − 5) = z.
Mathematics
1 answer:
Shalnov [3]3 years ago
5 0

Answer:(x-3)=-(y-5)=z

Step-by-step explanation:

Given

the point through which line passes is (3,5,0)

so we need a vector along the line to get the equation of line

It is given that line is perpendicular to both i+j & j+k

therefore their cross product will give us the vector perpendicular to both

v=(i+j)\times (j+k)=i-j+k

therefore we get direction vector of line so we can write

\frac{x-3}{1}=\frac{y-5}{-1} =\frac{z-0}{1}=t

i.e.

x=t+3,y=-t+5,z=t

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Amanda [17]

The Neolithic Revolution allowed people to live in permanent settlements.

<u>Explanation:</u>

The Neolithic Revolution is the phase of transition in which many of the human cultures in the world shifted their lifestyle to permanent settlement and agriculture from hunting and gathering.

This era is also named as First Agricultural Revolution or Neolithic Demographic Transition. The agricultural practices led the cultures to develop the knowledge of domestication of animals and they began to observe and experiment with the plants (to learn or know how they grow and develop).

Neolithic period is named as revolution because this period changed the way of life of most of the communities. This first occurred in so-called "Fertile Crescent" or Mesopotamia (modern Iraq).

6 0
4 years ago
Read 2 more answers
Find the exact value of csc ø, if cos ø= 1/9; 180° less ø less than 270°
Iteru [2.4K]

Answer:

The answer to your question is: the first option  - 9/ \sqrt{80}

Step-by-step explanation:

Process

          cosФ = adjacent side / hypotenuse

          -1/9 = adjacent side / hypotenuse

          adjacent side = -1    hypotenuse = 9

          c² = a² + b²

          b² = c² - a²

           b² = 81 - 1

           b = \sqrt{80} \\    b = opposite side

But b is negative because we are in the third quadrant.

          b = -\sqrt{80}

Finally   csc Ф = hypotenuse / opposite side

             csc Ф = - 9 / \sqrt{80}

4 0
3 years ago
How to find slope within two sets of points
EastWind [94]

The slope within two sets of points is calculated using the slope equation m = \frac{y_2 -y_1}{x_2 -x_1}

<h3>What is slope?</h3>

The slope of a line or points is the rate of change of the line.

This in other words means that, the vertical change per unit horizontal change

Assume that the points are given as:

(x1, y1) and (x2, y2)

The slope (m) of the points is:

m = \frac{y_2 -y_1}{x_2 -x_1}

Hence, the equation of two sets of points is m = \frac{y_2 -y_1}{x_2 -x_1}

Read more about slopes at:

brainly.com/question/1884491

#SPJ1

3 0
2 years ago
Find the product: (30 gallons 3 quarts 1 pint) × 5
maks197457 [2]

Answer:

Please mark me brainliest!!!!!!!

Step-by-step explanation:

Step 1:

Multiply each by 5, then make any necessary conversions to the other units of measurement (ie. gallon, quart, etc)

30 gallons x 5= 150 gallons

3 quarts x 5= 15 quarts

1 pint x 5= 5 pints

Step 2:

CONVERSION

1 gallon=4 quarts

1 gallon= 8 pints

1 quart= 2 pints

GALLONS: 150 gallons

QUARTS:

=15 quarts ÷ # quarts in gallon

=15/4= 3 gallons 3 quarts

PINTS:

=5 pints ÷ # pints in quart

=5/2= 2 quarts 1 pints

TOTALS:

150 gallons

3 gallons 3 quarts

2 quarts 1 pint

Since we have 5 additional quarts, and we know that 4 quarts=1 gallon, we need to convert again.

=3 quarts + 2 quarts

=5 quarts ÷ # quarts in gallon

=5/4 = 1 gallon 1 quart

FINAL TOTALS

GALLONS: 150 + 3 + 1= 154 gallons

QUARTS: 1 quart

PINTS: 1 pints

4 0
2 years ago
Susie is paying $555.26 every month for her $150,000 mortgage. If this is a 30 year mortgage, how much interest will she pay ove
andrey2020 [161]

Answer:

$49,893.6

Step-by-step explanation:

$555.26/mo(30yr)(12 mo/yr) - $150000 = $49,893.6

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