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larisa [96]
1 year ago
8

On a cm grid, point p has coordinates (3,-1) and point q has coordinates (-5,6) calculate the shortest distance between p and q

give answer t 1 decimal place
17caslan19 avatar
the base of the tringle would be 8 and the height would be 7 use pythagorus
Mathematics
1 answer:
Effectus [21]1 year ago
8 0

Answer:

≈ 10.6 units

Step-by-step explanation:

Calculate the distance d using the distance formula

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

with (x₁, y₁ ) = p(3, - 1) and (x₂, y₂ ) = q(- 5, 6)

d = \sqrt{(-5-3)^2+(6+1)^2}

   = \sqrt{(-8)^2+ 7^2}

    = \sqrt{64+49}

     = \sqrt{113} ≈ 10.6 ( to 1 dec. place )

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The answer is 9 because half of 14 is 7, and 7+2=9
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Which products result in a difference of squares? Check all that apply. (5z + 3)(–5z – 3) (w – 2.5)(w + 2.5) (8g + 1)(8g + 1) (–
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Answer:

(w - 2.5)(w + 2.5)

(-4v - 9)(-4v + 9)

Step-by-step explanation:

* Lets explain what is the a difference of two squares

- If we multiply two binomial and the answer just two terms with

 negative sign between them and the two terms are square numbers

 we called this answer a difference of two squares

- Examples

# (a + b)(a - b)

- Lets multiply them

∵ (a × a) + (a × -b) + (b × a) + (b × -b)

∴ a² - ab + ba - b²

- Add the like term

∵ ab = ba

∴ -ab + ba = 0

∴ (a + b)(a - b) = a² - b² ⇒ difference of two squares

- From above the difference of two squares appears when we

 multiply sum and difference of the same two terms

# (a + b) ⇒ is the sum of a and b

# (a - b) ⇒ is the difference of a and b

* Now lets solve the problem

- In (5z + 3)(-5z - 3)

∵ (5z + 3) ⇒ is the sum of 5z and 3

∵ (-5z - 3) ⇒ is the difference of -5z and 3

∵ 5z ≠ - 5z

∴ They are not the sum and difference of the same two terms

∴ The product result not in a difference of squares

- In (w - 2.5)(w + 2.5)

∵ (w - 2.5) is the difference between w and 2.5

∴ (w + 2.5) is the sum of w and 2.5

∴ They are the sum and difference of the same two terms

∴ The product result in a difference of squares

- In (8g + 1)(8g + 1)

∵ The two brackets are the sum of 8g and 1

∴ They are not the sum and difference of the same two terms

∴ The product result not in a difference of squares

- In (-4v - 9)(-4v + 9)

∵ (-4v - 9) is the difference between -4v and 9

∵ (-4v + 9) is the sum of -4v and 9

∴ They are the sum and difference of the same two terms

∴ The product result in a difference of squares

- In (6y + 7)(7y - 6)

∵ (6y + 7) is the sum of 6y and 7

∵ (7y - 6) is the difference between 7y and 6

∵ 6y ≠ 7y and 7 ≠ 6

∴ They are not the sum and difference of the same two terms

∴ The product result not in a difference of squares

- In (p - 5)(p - 5)

∵ The two brackets are the difference of p and 5

∴ They are not the sum and difference of the same two terms

∴ The product result not in a difference of squares

8 0
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vova2212 [387]

Answer: the coomon factor that is missing from both sets of parentheses is 2x + 7.


Explanation:


These are the steps to factor the polynomial with the reasons that justify them:


Step                                                   Reason

1. 10x³ + 35x² - 4x - 14                       Given

2. (10x³ + 35x²) - (4x + 14)                 Group the terms

3. 5x² (2x + 7) - 2 (2x + 7)                Common factor 5x² and 2


After this, you extract common factor 2x + 7 and have the complete factored polynomial: (2x + 7) (5x² - 2).

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