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GaryK [48]
3 years ago
14

If a pair of shoes (price of $40) is on discount for 50% off, then on clearance for another 50% off, what should you be paying a

t the register, if anything?
Mathematics
1 answer:
kogti [31]3 years ago
3 0

50% of $40 is $20

50% of $20 is $10

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Rationalize the denominator of sqrt -49 over (7 - 2i) - (4 + 9i)
zubka84 [21]
\sqrt{ \frac{-49}{(7-2i)-(4+9i) } } 


This one is quite the deal, but we can begin by distributing the negative on the denominator and getting rid of the parenthesis:

\frac{ \sqrt{-49}}{7-2i-4-9i}

See how the denominator now is more a simplification of like terms, with this I mean that you operate the numbers with an "i" together and the ones that do not have an "i" together as well. Namely, the 7 and the -4, the -2i with the -9i.
Therefore having the result: 

\frac{ \sqrt{-49} }{3-11i}

Now, the \sqrt{-49} must be respresented as an imaginary number, and using the multiplication of radicals, we can simplify it to \sqrt{49}  \sqrt{-1}
This means that we get the result 7i for the numerator.

\frac{7i}{3-11i}

In order to rationalize this fraction even further, we have to remember an identity from the previous algebra classes, namely: x^2 - y^2 =(x+y)(x-y)
The difference of squares allows us to remove the imaginary part of this fraction, leaving us with a real number, hopefully, on the denominator.

\frac{7i (3+11i)}{(3-11i)(3+11i)}

See, all I did there was multiply both numerator and denominator with (3+11i) so I could complete the difference of squares.
See how (3-11i)(3+11i)= 3^2 -(11i)^2 therefore, we can finally write:

\frac{7i(3+11i)}{3^2 - (11i)^2 }

I'll let you take it from here, all you have to do is simplify it further.
The simplification is quite straightforward, the numerator distributed the 7i. Namely the product 7i(3+11i) = 21i+77i^2.
You should know from your classes that i^2 = -1, thefore the numerator simplifies to -77+21i
You can do it as a curious thing, but simplifying yields the result:
\frac{-77+21i}{130}
7 0
3 years ago
Can y’all please help. I will send points if you want me to.
suter [353]

Answer:

the third one has a 2 acute angles 2 abuse angles and the x value is 110

Step-by-step explanation

the x value has to be bigger then 90 degree angles because it is a abuts angle and the 57 angle is a acute angle

8 0
3 years ago
H(t) = 4t+20 What is h(_____)=4?
kaheart [24]

Answer:  h(-4)  

Step-by-step explanation:

If h(x) something is equal to 4  then set the equation equal 4  and solve for t.

4t +20 = 4

    -20    -20  

4t = -16

t = -4  

So h(-4) = 4

7 0
3 years ago
If f(x) varies directly with x2, and f(x) = 96 when x = 4, find the value of f(2).
Scilla [17]
F ( x ) = k * x²
f ( 4 ) = 96
96 = k * 4²
96 = 16 k
k = 96 : 16
k = 6
f ( 2 ) = 6 * 2² = 6 * 4 = 24
Answer: D ) 24
6 0
3 years ago
Read 2 more answers
A right angle has an area of 13m*2. The dimensions of the triangle are increased by a scale factor of 3. What is the area of the
Alex_Xolod [135]

The answer is: 117m²

The explanation is shown below:

1. You have the following information given in the problem:

- The triangle has an area of 13 m².

- The dimensions of the triangle are increased by a scale factor of 3.

2. Therefore, to solve the exercise you must multiply the area by 3^{2}=9, as following:

A=(13m^{2})(9)\\A=117m^{2}

5 0
3 years ago
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