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Komok [63]
2 years ago
5

9. Select all the equations that are equivalent to the equation. 3x - 4 = 5

Mathematics
2 answers:
Zolol [24]2 years ago
5 0

Answer: It would be A, B, and lastly E.

kondaur [170]2 years ago
5 0
A and B since adding 4 to each side makes it 3x=9 not being D since it asks “equivalent to the equation” and x would be 3 anyways. I don’t feel like explaining the rest but trust
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A perfect square is a number that has integer square root
Fiesta28 [93]

tr it and it wil; he;p

6 0
2 years ago
Rationalize the denominator of square root of negative 9 over open parentheses 4 minus 7 i close parentheses minus open parenthe
AlekseyPX
The answer is
\frac{-6i-3}{5}.

Before we rationalize the denominator, we must simplify the numerator and denominator.  We evaluate the square root on the top, and combine like terms on the bottom:
\frac{\sqrt{-9}}{(4-7i)-(6-6i)}
\\
\\=\frac{\sqrt{9i^2}}{4-6-7i--6i}
\\
\\=\frac{3i}{-2-i}

To rationalize the denominator, we multiply by the conjugate.  The conjugate is found by making the imaginary term of the complex number, the i part, the opposite sign.  The conjugate of -2-i is -2+i:

\frac{3i}{-2-i}\times \frac{-2+i}{-2+i}
\\
\\=\frac{3i(-2+i)}{(-2-i)(-2+i)}
\\
\\=\frac{3i\times -2 + 3i\times i}{-2\times -2 + -2\times i + -2\times -i + -i\times i}
\\
\\=\frac{-6i+3i^2}{4-2i+2i-i^2}
\\
\\=\frac{-6i+3(-1)}{4-i^2}=\frac{-6i-3}{4-(-1)}=\frac{-6i-3}{5}
7 0
3 years ago
The Ford family decides they want to go see a movie at the local movie theater. The family consists of two adults, and five chil
Brrunno [24]

Ford Family consists of:

a) 2 adults

The price of ticket for each adult is $18.55. This can be approximated to $19 if we round it to nearest dollar. So the price of ticket for 2 adults will be 2 x 19 = $38

b) 3 children between ages 2 and 10.

Ticket for each child between ages 2 - 10 is $12.59 which can be approximated to $13. So ticket price for 3 children will be 3 x 13 = $39

c) 2 children below the age of 2.

Ticket price for each child is $6.54 which can approximated as $7. So ticket price for 2 children will be 2 x 7 = $14

The estimated total amount due on the family equals = 38 + 39 + 14 = $91

In each of the 3 cases we rounded up the values. So this means the actual amount must be slightly lesser than $91. The actual bill was $87.95 which is close to $91 and lesser than it. Hence we can conclude that $87.95 is the correct amount due for Ford Family.

3 0
3 years ago
Help help help math math math math
Natasha_Volkova [10]

Answer:

x = 15

Explanation:

First, add both equations on one side, and set it equal to 180° because it's supplementary:

2x + 8 + 8x + 22 = 180

combine like terms:

10x + 30 = 180

subtract 30 on both sides of the equation and you end up with:

10x = 150

divide both sides by 10 and you get:

x = 15

3 0
2 years ago
Read 2 more answers
CosA.cos2A.cos4A=sin8A/8sinA​
alexgriva [62]

I assume you're supposed to establish the identity,

cos(A) cos(2A) cos(4A) = 1/8 sin(8A) / sin(A)

Recall the double angle identity for sine:

sin(2<em>x</em>) = 2 sin(<em>x</em>) cos(<em>x</em>)

Then you have

sin(8A) = 2 sin(4A) cos(4A)

sin(8A) = 4 sin(2A) cos(2A) cos(4A)

sin(8A) = 8 sin(A) cos(A) cos(2A) cos(4A)

==>   sin(8A)/(8 sin(A)) = cos(A) cos(2A) cos(4A)

as required.

3 0
3 years ago
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