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VashaNatasha [74]
3 years ago
12

I need help with this problem due tonight 10 points!!!

Mathematics
1 answer:
k0ka [10]3 years ago
4 0

Answer:

The value of the slope of the line is 1

Step-by-step explanation:

Here, we want to find the value of the slope of the line that passes through the given points

Mathematically, we have the equation as;

m = (y2-y1)/(x2-x1)

(x1,y1) = (4,-11)

(x2,y2) = (7,-8)

substituting these values in the slope equation, we have;

m = (-8-(-11))/(7-4) = 3/3 = 1

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Consider line segment AB whose endpoints are (1, 4) and (4, 8). If this segment is dilated by a scale factor of 4 centered at th
gulaghasi [49]

Answer:

The length of the new segments A'B' is 20 units ⇒ answer C

Step-by-step explanation:

* <em>Lets revise the dilation</em>

- A dilation is a transformation that changes the size of a figure.  

- It can become larger or smaller, but the shape of the  figure does

 not change.  

- The scale factor, measures how much larger or smaller the image

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- If the scale factor greater than 1, then the image will be larger

- If the scale factor between 0 and 1, then the image will be smaller

* <em>Lets solve the problem</em>

- line segment AB whose endpoints are (1, 4) and (4, 8) is dilated by

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∵ The scale factor is 4 and it is greater than 1

- The length of the image of line segment AB will enlarged by the

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∴ A'B' = 4 AB

* <em>Lets find the length of AB by using the rule of the distance</em>

∵ d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}

∵ A = (x_{1},y_{1}) and B = (x_{2},y_{2})

∵ A = (1 , 4) and B = (4 , 8)

∴ (x_{1},y_{1})=(1 , 4) and (x_{2},y_{2})=(4 , 8)

∵ AB = \sqrt{(4-1)^{2}+(8-4)^{2}}=5

∴ AB = 5 units

∵ A'B' = 4 AB

∴ A'B' = 4 × 5 = 20

∴ The length of the new segments A'B' is 20 units

8 0
3 years ago
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Write the quadratic equation in general form then choose the value of “b”.
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Answer:

Write the quadratic equation in general form then choose the value of “b”.  

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Step-by-step explanation:

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ax^{2} +bx+c\\

So the value of B is 9

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