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Ber [7]
3 years ago
10

Find (x,y) such that (8,2)(x,y) = (28,22)

Mathematics
1 answer:
liberstina [14]3 years ago
7 0

Answer:

(x,y) = (3.5, 11)

Step-by-step explanation:

(8,2)(x,y) = (28,22)

Dot product, so:

(8,2)(x,y) = (8x,2y) = (28,22)

Then

8x = 28

x = \frac{28}{8} = 3.5

And

2y = 22

y = \frac{22}{2} = 11

So

(x,y) = (3.5, 11)

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Solve the system of equations below 4x+y=16 and 2x+3y=-2
astraxan [27]
4x+y=16 multiply both sides by -3 and will get 
2x+3y=-2

-12x -3y = -48
   2x +3y = -2
--------------------------
-10x  0  = -50

-10x = -50

x = -50/(-10) = 5

x = 5 

4x+y=16
4*5+y=16
20+y=16

y = 16-20

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hope helped 
7 0
2 years ago
Read 2 more answers
the tens digit of a two digit number is 5 greater the units digit. If you subtract double the reversed number from it, the resul
likoan [24]

Given:

The tens digit of a two digit number is 5 greater the units digit.

If you subtract double the reversed number from it, the result is a fourth of the original number.

To find:

The original number.

Solution:

Let n be the two digit number and x be the unit digit. Then tens digit is (x+5) and the original number is:

n=(x+5)\times 10+x\times 1

n=10x+50+x

n=11x+50

Reversed number is:

x\times 10+(x+5)\times 1=10x+x+5

x\times 10+(x+5)\times 1=11x+5

If you subtract double the reversed number from it, the result is a fourth of the original number.

11x+50-2(11x+5)=\dfrac{1}{4}(11x+50)

11x+50-22x-10=\dfrac{1}{4}(11x+50)

40-11x=\dfrac{1}{4}(11x+50)

Multiply both sides by 4.

160-44x=11x+50

160-50=11x+44x

110=55x

Divide both sides by 55.

\dfrac{110}{55}=x

2=x

The unit digit is 2. So, the tens digit is 2+5=7.

Therefore, the original number is 72.

6 0
2 years ago
Evaluate using the order of operation 3/4+5/6÷2/3
mel-nik [20]

Answer:

two  2

Step-by-step explanation:

First you divide the five over six into the two over three, then you add the quotient of that problem to three over four and the sum is your answer.  

3 0
3 years ago
Which of the following is a solution of x2 + 2x + 8?
GalinKa [24]
I hope this helps you


x^2+2x+8=0


x^2+2x+1+7=0


(x+1)^2= -7


(x+1)^2= i^2.7


x+1= i.square root of 7


x=-1+ i.square root of 7
5 0
3 years ago
12/5 rename the fractions as mixed numbers
Alex_Xolod [135]

Answer:

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Step-by-step explanation:

12 can go into 5 2 times with a left over of two, so it would be 2 which is 10 and a left over of two. The denominator stays the same. So it would be 2 2/5.

5 0
2 years ago
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