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ANTONII [103]
4 years ago
9

Julio is paid 1.4 times is normal hourly rate for each hour he works over 32 hours a week last week he worked 43 hours and earne

d $677.82
The earnings equation is $677.82 equal
Mathematics
1 answer:
lianna [129]4 years ago
4 0
If x equals the amount of money paid in a normal hour and y equals 1.4(x), then 677.82= 32x+ 11y.
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Divide 6 squared by the product of -3 and 3.​
Aleks04 [339]

Answer:

-4

Step-by-step explanation:

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I NEED HELP WITH THIS MATH QUESTION, what are the 3 options ?
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ABCD is a rectangle. What is the value of x? (1 point)
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Two straight lengths of wire are placed on the ground, forming vertical angles. If the measure of one of the four angles formed
vitfil [10]
We have
angle 1=72 degrees

see the attached picture to better understand the problem

we know that
<span>Vertical angles are congruent
</span>angle1=angle3 \\ angle2=angle4
<span>
and

adjacent angles are supplementary
</span>angle2+angle1=180 \\ angle3+angle4=180
<span>
if the measure of one of the angles is </span>72 degrees and straight lines equal 180<span> degrees you have to
subtract </span>72 from 180
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angle 2=180-72 \\ angle 2=108 degrees

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angle 3=amgle 1 \\ angle 3=72 degrees

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the answer is

the measures of the other three angles are
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3 years ago
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What is a simple way to solve for the sum and difference of 2 cubes? For example, 27+64<img src="https://tex.z-dn.net/?f=x%5E3"
salantis [7]

Answer:

(3 + 4x)(9 - 12x + 16x²) = 0

(4m - 1)(16m² + 4m + 1) = 0

Step-by-step explanation:

Here we have to solve the sum of two cubes which is 27 + 64x^{3}

Now, the equation is 27 + 64x^{3} = 0

⇒ 3³ + (4x)³ = 0

⇒ (3 + 4x)[3² - 3(4x) + (4x)²] = 0

⇒ (3 + 4x)(9 - 12x + 16x²) = 0

So, (3 + 4x) = 0 or (9 - 12x + 16x²) = 0

Therefore, from the above two relation we can solve for x.

One root will be - \frac{3}{4} and the others we will get by applying Sridhar Acharya Formula, which will give a pair of conjugate imaginary roots of the equation.  

Again, we have to solve the difference of two cubes which is 64m^{3} - 1

Now, the equation is 64m^{3} - 1 = 0

⇒ (4m)³ - 1³ = 0

⇒ (4m - 1)[(4m)² + 4m(1) + 1²] = 0

⇒ (4m - 1)(16m² + 4m + 1) = 0

So, (4m - 1) = 0 or (16m² + 4m + 1) = 0

Therefore, from the above two relation we can solve for m.

One root will be \frac{1}{4} and the others we will get by applying Sridhar Acharya Formula, which will give a pair of conjugate imaginary roots of the equation.  (Answer)

8 0
4 years ago
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