Answer:
7/12 OR 0.58 (2.d.p)
Step-by-step explanation:
Product means that the two rational numbers are being multiplied to get 7.
The question also tells us that one of them is 12. Therefore we can write an equation to express this information where we represent the unknown rational number using the letter 'r':
r x 12 = 7
Rearrange to find r:
r x 12 / 12 = 7 /12
r = 7/12 = 0.5833....
= 0.58 (2.d.p)
Hope this helped!
Answer: 0.0007
Step-by-step explanation:
6/8654
|a+bi| = √(a² + b²)
-4-√2 i -> take a = -4 and b = -√2
|-4-√2 i| = √[ (-4)² + (<span>-√2)² ]
= </span><span>√[ 16 + 2<span> ]
</span></span><span>= √[ 18 ]</span> = <span>√[ 9 * 2 ]
= 3√2
the absolute value is 3√2</span>
Mathematically it would be 8 since BE=CE and CE=4.
That looks like a translation; let's check. We have
A(-5,1), B(-3,7), A'(3,-1), B'(5,5)
If it's a translation by T(x,y) we'd have
A' = A + T
B' = B + T
so
T = A' - A = (3,-1) - (-5,1) = (8,-2)
and also
T = B' - B = (5, 5) - (-3, 7) = (8,-2)
They're the same so we've verified this transformation is a translation by (8,-2), eight right, two down.