EXPLANATION:
Let the smaller no. be x.
Therefore, The bigger no. = x+12
x + 12 + x = 84
=> 2x = 84-12
=> x = 72/2
=> x = 36
ANSWER: The two numbers are (36+12) 48 & 36
Hope it helps u!
Answer: 18 and 36
Step-by-step explanation:
The scale is 8m for every 2 in and the actual area is 144m2 so we need to covert that into inches. You divide 144 by 8 which = 18 and then multiply 18 x 2 which is equal to 36.
Answer: y = 1/2x
Step-by-step explanation: I looked at the graph to find this. Look at the points (0,2) and (2,3). You will get 1/2 because you move up by 1 and move along the x-axis 2 places. I hope this helps, have a nice day.
Answer:
2(j+4)
Step-by-step explanation:
Answer:
- (x + 3)(x - 3)(x² - 2x + 5)
Step-by-step explanation:
<u>One of the zeros given:</u>
<u>Since it is a complex number, its conjugate is also a zero:</u>
<u>The product of two factors are:</u>
- (x - (1 + 2i))(x - (1 - 2i)) =
- x² - x(1 + 2i + 1 - 2i) + (1 - 4i²) =
- x² - 2x + 5
<u>We need two more zeros. Let them be m and n, then we have:</u>
- (x - m)(x - n) = x² - (m +n)x + mn
<u>The product of all factors:</u>
- (x² - 2x + 5)(x² - (m+n)x + mn) = x⁴ - 2x³ - 4x² + 18x - 45
- x⁴- (m+n+2)x³ + (mn+5)x² - (2mn+5m+5n)x + 5mn = x⁴- 2x³- 4x²+ 18x- 45
<u>Compare left and right sides and solve for m and n:</u>
- m + n + 2 = 2 ⇒ m + n = 0
- mn + 5 = -4 ⇒ mn = -9
- 2mn + 5(m + n) = -18 ⇒ mn = -9
<u>From the above equations we get:</u>
- m = -n
- -n² = -9
- n = 3
- m = -3
The other zero's are 3 and -3
<u>All of the factors:</u>
- (x + 3)(x - 3)(x² - 2x + 5)
