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irakobra [83]
3 years ago
14

Given that the points ( 16 , − 5 ) and ( − 40 , 16 ) lie on a line, what is the equation of the line? Select two answer.

Mathematics
1 answer:
djyliett [7]3 years ago
4 0

Answer:

The equation of line with given points is  Y  = - \frac{3}{8} X + 1

Step-by-step explanation:

Given as :

The points are ( 16 , - 5 )    And ( -40 , 16 )

The line equation in points form :

Y - y1  = m ( X - x1)

Where m is the slope of line

Now , m = \frac{y2 - y1}{x2 - x1}

Or,     m = \frac{16 +5}{-40 - 16}

Or,     m =   \frac{21}{- 56}

SO, Y + 5  = m ( X - 16)

Put the value of slope

∴    Y + 5 = \frac{21}{-56} ( X - 16)

Or, ( - 56) × ( Y + 5 ) = 21 X - ( 21 × 16 )

Or,  - 56 Y - 280 = 21 X - 336

Or,   - 280 + 336 = 21 X + 56 Y

Or,    56  = 21 X + 56 Y

∴       Y  = - \frac{21}{56} X + 1

Or,      Y  = - \frac{3}{8} X + 1

Hence The equation of line with given points is  Y  = - \frac{3}{8} X + 1  Answer

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son4ous [18]

Answer:

  • Dilation
  • Reflection
  • Translation
  • Rotation
  • Reflection
  • Translation

Step-by-step explanation:

<em>Dilation</em>

Dilation multiplies the distance from a point to the center of dilation by the dilation factor. It does this for every point.

The center of dilation itself has zero distance from the center of dilation. Multiplying that by the dilation factor still gives zero, so the point that is the center of dilation remains unchanged.

<em>Reflection</em>

Reflection mirrors a point across some line. Each point ends up the same distance on the other side of the line that it was originally from the line.

The segment joining a point with its reflection is perpendicular to the line, so the line of reflection is the perpendicular bisector of the segment joining any point with its image.

<em>Rotation</em>

The angle defined by a point, the center of rotation, and the point's image is the angle of rotation. It is the same for every point.

The center of rotation doesn't go anywhere; it is "invariant".

<em>Translation</em>

Moving an image without changing its size or orientation is translation. Every point moves the same distance in the same direction, so any lines in the original figure have the same length and orientation in the translated figure: they are parallel.

4 0
4 years ago
Stephen uses
34kurt

Answer:

13.75 servings or 13 ¾ servings

Step-by-step explanation:

This is the correct question

Stephen uses 2/25 kilograms of tofu in each serving of his famous tofu dish. He has 1 1/10 kilograms of tofu.

To get answer  

We will have to divide the number of tofu required with the number of tofu own.  

Stephen uses 2/25 kilograms of tofu in each serving and he has 11/10 kilograms tofu.  

= (11/10) ÷ (2/25)  

= (11/10) ÷ (2/25)

   11/10 * 25/2 =

   275 ÷ 20= 13.75 servings or 13 ¾ servings

Stephen can make 13 ¾ or 13.75 servings

3 0
3 years ago
Read 2 more answers
HELP ASAP!!<br>-4y + 7 + 9y - 3​
gulaghasi [49]

Answer:

5y+4

Step-by-step explanation:

Combine Like Terms:

=−4y+7+9y+−3

=(−4y+9y)+(7+−3)

=5y+4

5 0
3 years ago
Read 2 more answers
A penny has a mass of 3 grams. what is the mass in grams of 8 pennies ?
lawyer [7]
Multiply
3x8
=24 Grams
8 0
3 years ago
Read 2 more answers
a bag contains 5 red 3 green 4 blue and 8 yellow marbles find the probability of randomly selecting a green marble and then a ye
alexira [117]
The probability of picking a green marble the first time is 3/20 and the probability of picking a yellow marble the second time is 8/20.   
probabilities are heavily related to percents so it would make sense that the probability of picking a color would be the number of that color divided by the total number.

note that it is really important that the problem said that the marble was replaced.  If the marble was not replaced, the probability of picking a yellow marble the second time would be 8/19 if the first marble picked was not a yellow one.

I hope this helps.
5 0
3 years ago
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