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adell [148]
3 years ago
7

X + y = 2

Mathematics
1 answer:
liraira [26]3 years ago
8 0

Answer:

D. (3,-1)

Step-by-step explanation:

x + y = 2  \:  \:  \:  \:  \:  \: ..(1) \\ 2x - y = 7 \:  \:  \:  \: ..(2)

from equation 1 we get,

x = 2 - y

now,

put \:  \:  \:  \: x = 2 - y \:  \:  \: in \: (2)

we get,

2(2 - y) - y = 7 \\ 4 - 2y - y = 7 \\ 4 - 3y = 7 \\  - 3y = 7 - 4 \\  - 3y = 3  \\  \\ y =  \frac{3}{( - 3)}  \\  \\ y =  - 1

now,

put \:  \:  \:  \: y =  - 1 \:  \:  \:  \: in \: (1)

we get,

x + ( - 1) = 2 \\ x - 1 = 2 \\ x = 2  + 1 \\ x = 3

hence, the value of x = 3 and y = (-1)

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In the diagram m angle ACB = 61<br> Find m angle BCD
Marina86 [1]

we are given that

angle(ACF)=90

angle(ACB)=61

sum of all angles along any line is 180

so, we get

angle(ACF)+angle(ACD)=180

we can plug value

90+angle(ACD)=180

angle(ACD)=90

now, we can use formula

angle(ACD)=angle(ACB)+angle(BCD)

now, we can plug values

and we get

90=61+angle(BCD)

90-61=61-61+angle(BCD)

angle(BCD)=29................Answer


7 0
3 years ago
Read 2 more answers
Which of the following is a solution of x2 + 2x + 8?
zubka84 [21]
Using the quadratic equation we get:
\frac{ - 2 + - \sqrt{4 - 32} }{2} = \frac{ - 2 + - \sqrt{ - 28} }{2}

Factoring out 2 we get
\frac{ - 2 + - 2\sqrt{ - 7} }{2} = - 1( + - ) \sqrt{ - 7}
Factoring out the imaginary number:
- 1 + \sqrt{7} i \: (and) \: - 1 - \sqrt{7} i
So b.
4 0
3 years ago
44 is the same as 113 more than w
Setler79 [48]

Answer:

Step-by-step explanation:

44=113+w

w=-69

5 0
4 years ago
Which of the following is a complex number?
Bogdan [553]

The answer is 4 + 3i

It is the only one there with a \sqrt{-1} or i

Like my answer? Consider marking it as brainiest!

4 0
3 years ago
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Hi guys, I need help to solve this. I can’t understand how the percentage is calculated in (a) and (b) and how the rent is calcu
lana [24]

Answers :

  1. (A) 18.33%
  2. (B) 21.65%
  3. (C) about 173.33
  4. (D) i really have no way of finding the angles for you, you could try to find them yourself; or maybe just leave it blank?
<h3>OK, so judging from the bar shown : </h3>

It looks like <u>Rent</u> takes up 1/3 of the space so 33.33..%

It also looks like <u>Loan Repayment</u> + <u>Savings</u> is another 33.33..% but Savings is slightly larger than Loan Repayment so you could just estimate Savings to be 55% and LR to be 45% of the 1/3 space.

  • 55% of 33.33.. = 18.33%
  • 45% of 33.33.. = 14.99%

LR looks equal to <u>Entertainment</u> making it another <u>14.99.</u>

It also looks like Entertainment + Electricity + Groceries = the last 33.33..%

And since we know <u>Entertainment</u> = 14.99 / 45% of 33.33..

Making <u>Electricity and Water</u> <em>ABOUT</em>  35% of 33.33... which is <u>11.66</u>

And Groceries is somehow 20% of 33.33 = <u>6.66</u>

  • Rent = 33.33..%
  • Savings = 18.33%
  • Loan Repayment 14.99%
  • Entertainment 14.99%
  • Electricity and Water 11.66%
  • Groceries = 6.66%
<h3>All of these added together equal <u><em>ABOUT</em></u> 100%</h3>

4 0
3 years ago
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