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3 years ago

If AB = 2x, complete the statements below. 2 + (AD)2 = (2x)2 (AD)2 = x2 – x2 (AD)2 = x2 AD =

Mathematics

2 answers:

elena-s [515]3 years ago

8 0

Answer:

X 4 3 X

Step-by-step explanation:

storchak [24]3 years ago

7 0

Answer:

Step-by-step explanation:

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Find the value of the variable y, where the sum of the fractions 6/(y+1) and y/(y-2) is equal to their product.

Blizzard [7]

Answer:

The answer is

$y = 3$

$y = - 4$

Step-by-step explanation:

We must find a solution where

$\frac{6}{y + 1} + \frac{y}{y - 2} = \frac{6}{y + 1} \times \frac{y}{y - 2}$

Consider the Left Side:

First, to add fraction multiply each fraction on the left by it corresponding denomiator and we should get

$\frac{6}{y + 1} \times \frac{y - 2}{y - 2} + \frac{y}{y - 2} \times \frac{y + 1}{y + 1}$

Which equals

$\frac{6y - 12}{(y -2) (y + 1)} + \frac{ {y}^{2} + y }{(y - 2)(y + 1)}$

Add the fractions

$\frac{y {}^{2} + 7y - 12 }{(y - 2)(y + 1)} = \frac{6}{y + 1} \times \frac{y}{y - 2}$

Simplify the right side by multiplying the fraction

$\frac{6y}{(y + 1)(y + 2)}$

Set both fractions equal to each other

$\frac{6y}{(y + 1)(y - 2)} = \frac{ {y}^{2} + 7y - 12}{(y + 1)(y - 2)}$

Since the denomiator are equal, we must set the numerator equal to each other

$6y = {y}^{2} + 7y - 12$

$= {y}^{2} + y - 12$

$(y + 4)(y - 3)$

$y = - 4$

$y = 3$

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3 years ago

Read 2 more answers

What is the point-slope form of a line with slope 6 that contains the point

blondinia [14]

Answer:

<h2>The answer is option C</h2>

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

$y - y_1 = m(x - x_1)$

where

m is the slope

( x1 , y1) is the point

From the question the point is (1,2) and the slope is 6

The equation of the line in point slope form is

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Answer:

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Step-by-step explanation:

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Alina [70]

Answer:

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Step-by-step explanation:

The solution and filled in Venn diagram is attached

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