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3 years ago

I need help with that one. What is 2(3x-2)- 4x= 5x+2

Mathematics

2 answers:

Sphinxa [80]3 years ago

7 0

Answer:

I think x = -2

Step-by-step explanation:

Dima020 [189]3 years ago

5 0

Answer:

So we have this equation:

2 (3x-2) - 4x = 5x + 2

You can first operate the parenthesis, knowing that a(b+c) = ab + ac (conmutative)

2(3x-2) - 4x = 5x + 2

2 * 3x - 2 * 2 - 4x = 5x + 2

6x - 4 -4x = 5x + 2

Now, we can operate the x:

6x - 4 -4x = 5x + 2

2x - 4 = 5x + 2

And sum 4 in both sides and substract 5x in both too.

2x - 4 = 5x +2

2x - 4 + 4 - 5x' = 5x + 2 + 4 -5x

Now we can operate:

-3x = 6

And we can divide by -3 the two sides...

x = 6/-3 = -2

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Answer:

Step-by-step explanation:

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3 years ago

One way to prove this quadrilateral is a square is by calculating the slopes of its sides and the slopes of its diagonals.

tatuchka [14]

Answer:

Step-by-step explanation:

<h3>To prove quadrilateral is a square:</h3>

a) Slope of CB

C(-3,-1) ; B = (0,3)

$\sf \boxed{Slope = \dfrac{y_2-y_1}{x_2-x_1}}$

$\sf = \dfrac{3-[-1]}{0-[-3]}\\\\ =\dfrac{3+1}{0+3}\\\\ = \dfrac{4}{3}$

$\sf \text{\bf slope of CB = $\dfrac{4}{3}$}$

b) D(1,-4) ; A(4,0)

$Slope \ of \ DA = \dfrac{0-[-4]}{4-1}\\$

$= \dfrac{0+4}{3}\\\$

$\sf \text{\bf Slope of DA = $\dfrac{4}{3}$}$

Slope of CB = slope of DA

c) C(-3,-1) ; D(1 , -4)

$\sf Slope \ of \ CD =\dfrac{-4-[-1]}{1-[-3]}$

$\sf = \dfrac{-4+1}{1+3}\\\\ = \dfrac{-3}{4}\\$

$\sf Slope \ of \ CD * Slope of CB = \dfrac{-3}{4}*\dfrac{4}{3}=-1$

So, CD is perpendicular to CB

d) B(0,3) ; D(1,-4)

$Slope \ of \ BD = \dfrac{-4-3}{1-0}\\\\=\dfrac{-7}{1}\\\\=-7$

e) C(-3,-1) ; A(4,0)

$\sf Slope \ of \ CA = \dfrac{0-[-1]}{4-[-3]}\\$

$=\dfrac{0+1}{4+3}\\\\=\dfrac{1}{7}$

$\text{Slope of CA *Slope of BD = $\dfrac{1}{7}$*(-7)}=-1$

So, CA is perpendicular to BD

$\sf \text{\bf Slope of DA = \dfrac{4}{3}}$

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2 years ago

Find the percent of change for 90 is increased to 135.

Romashka-Z-Leto [24]

12 is the answer hope this helps

7 0

3 years ago

Which of the following is the solution to the equation 25(z + 4) = 125? (6 points) z = 5.5 z = 3.5 z = −2.5 z = −0.5

Hunter-Best [27]

Answer:

Z=1

Step-by-step explanation:

25z+100=125

25z=25

Z=1

6 0

3 years ago

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A card is drawn from a standard deck. Find the probability of drawing a heart or a 7.

Mazyrski [523]

<h3>Answer: 4/13</h3>

=======================================================

Explanation:

There are A = 13 hearts and B = 4 copies of "7"

The count A+B = 13+4 = 17 may seem like it's the count of hearts or "7" cards, but we're double counting the 7 of hearts. So the true count is actually 17-1 = 16

There are 16 cards we want (either a heart or a "7") out of 52 total. Therefore, the probability is 16/52 = (4*4)/(4*13) = 4/13

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3 years ago