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Tanzania [10]
2 years ago
9

Draw a line representing the "rise" and a line representing the "run" of the line. State

Mathematics
2 answers:
AleksAgata [21]2 years ago
3 0
The answer would be -3/5. The slope is the rise over run. It goes up 3 and over 5. Hope this helps!
Bumek [7]2 years ago
3 0

Answer: The slope of the line is 3/5 or 0.6

Step-by-step explanation: The line you drew was run of 4 and -1 and the rise was 7 and 4.

y=y1-y2/x1-x2

7-4/4-(-1)

7-4/4+1

3/5 or 0.6

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3 years ago
HELP!!
leonid [27]

Answer:

The focus point is (2 , 0) ⇒ answer D

Step-by-step explanation:

* Lets revise the equation of the parabola in standard form

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- The focus is (h, k + p)

- The directrix is y = k - p

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 symmetry is parallel to the x-axis, it has an equation of

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- The focus is (h + p, k)

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* Lets solve the problem

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- Lets make x² - 4x completing square

∵ √x² = x  

∴ The 1st term in the bracket is x

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∵ The 1st term is x

∴ the second term = 2x ÷ x = 2

∴ The bracket is (x - 2)²

∵  (x - 2)² = (x² - 4x + 4)

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∴ (x² - 4x + 4) - 4 = (x - 2)² - 4

- Lets put the equation after making the completing square

∴ y = 1/8 [(x - 2)² - 4 - 12]

∴ y = 1/8 [(x - 2)² - 16] ⇒ multiply both sides by 8

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∴ 8y + 16 = (x - 2)² ⇒ take from the left side 8 as a common factor

∴ 8(y + 2) = (x - 2)²

∴ The standard form of the equation of the parabola is

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∴ h = 2 , k = -2 , 4p = 8

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∵ h = 2

∵ 4p = 8 ⇒ divide both sides by 4

∴ p = 2

∴ The focus = (2 , -2 + 2) = (2 , 0)

* The focus point is (2 , 0)

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Answer:

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