Answer:
The solution to the equation system given is:
- <u>x = 2</u>
- <u>y = -1</u>
Step-by-step explanation:
First, we must know the equations given:
- 2x + 3y = 1
- 3x + y = 5
Following Crammer's Rule, we have the matrix form:
Now we solve using the determinants:
Now, we can find the answer which is x= 2 and y= -1, we can replace these values in the equation to confirm the results are right, with the first equation:
- 2x + 3y = 1
- 2(2) + 3(-1)= 1
- 4 - 3 = 1
- 1 = 1
And, with the second equation:
- 3x + y = 5
- 3(2) + (-1) = 5
- 6 - 1 = 5
- 5 = 5
Answer:
80°
Step-by-step explanation:
The total of angle 2 and the one marked 30° is an angle corresponding (hence, equal) to the one marked 110°.
∠2 +30° = 110°
∠2 = 80°
Answer:
The conjugate of 2i + 9 = -2i + 9
Product of (2i+9) and (2i+9) is 36i + 77
Step-by-step explanation:
Given - 2i + 9
To find - Find the conjugate and product of the following surds
Proof -
We know that,
The sum and difference of two simple quadratic surds are said to be conjugate surds to each other.
To find a complex conjugate, simply change the sign of the imaginary part (the part with the i ).
So,
The conjugate of 2i + 9 = -2i + 9
Now,
Product of surd (2i+9) is
(2i+9)(2i+9) = 2i(2i) + 2i(9) + 9(2i) + 9(9)
= 4i² + 18i + 18i + 81
= -4 + 36i + 81 { because i² = -1 }
= 77 + 36i
⇒Product of (2i+9) and (2i+9) is 36i + 77
The answer is 68.5 that is the answer
25/30 in it’s simplest form is 5/6