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Mandarinka [93]
3 years ago
8

What equations is equivalent to 5(2p-6)=40?

Mathematics
2 answers:
gregori [183]3 years ago
7 0
10p-30=40 = p=7 is the answer
Vitek1552 [10]3 years ago
6 0

Answer:

P = 7

Step-by-step explanation:

Image for explanation

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Pi equals 3.14159265...and so on
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A line passes through the points (0,3), (4,1) and (6,0). Which function best represents the relationship between the two points?
Veronika [31]

Answer:

<em>y = - </em>\frac{1}{2}<em> x + 3 </em>

Step-by-step explanation:

y = mx + b

m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} } and "b" is y-intercept with coordinates (0, b)

(0, 3) ⇒ <u><em>b = 3</em></u>

(4, 1), (6, 0)

m = \frac{0-1}{6-4} = - \frac{1}{2}

<em>y = - </em>\frac{1}{2}<em> x + 3</em>

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The answer is <em>B. 6 ÷ D</em>

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Prove that P(2,3), (3, 4), R(5, 6) and S(4,5) are the<br>vertices of a rhombus​
MatroZZZ [7]

<u>Solu</u><u>tion</u><u> </u><u>:</u><u>-</u>

Given coordinates to us are ,

  • P(2,3) .
  • Q(3,4).
  • R(5,6)
  • S(4,5)

Here it is asked to Prove that these are vertices of Rhombus . So we know that all sides of a Rhombus are equal .So if we show that value of all sides lenght are equal , then it will be a Rhombus .

We will use Distance Formula .

Now , here ,

<u>Dista</u><u>nce</u><u> </u><u>betwe</u><u>en</u><u> </u><u>P</u><u> </u><u>and</u><u> </u><u>Q</u><u> </u><u>:</u>

⇒ x = √ (2 - 3)² + (3-4)² .

⇒ x = √ (-1)² + (-1)² .

⇒ x = √ 1 + 1 .

⇒ x = √2 .

<u>Dista</u><u>nce</u><u> </u><u>betwee</u><u>n</u><u> </u><u>Q</u><u> </u><u>and</u><u> </u><u>S</u><u> </u><u>:</u>

⇒ x =√ [ (3-4)² + (5-4)².

⇒x = √ 1² + 1² .

⇒ x = √ 1 + 1 .

⇒ x = √2 .

Similarly we can prove other distances equal.

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