calculating each of the products
noting that i² = (√- 1 )² = - 1
(1 + 2i)(8i) ( distribute by 8i )
= 8i + 16i² = - 16 + 8i ← complex number
(1 + 2i)(2 - 5i) ( expand using FOIL )
= 2 - 5i + 4i - 10i²
= 2 - i + 10 = 12 - i ← complex number
(1 + 2i)(1 - 2i) ( expand using FOIL )
= 1 - 2i + 2i - 4i²
= 1 + 4 = 5 ← real number
(1 + 2i)(4i) ( distribute by 4i )
= 4i +8i² = - 8 + 4i ← complex number
(1 + 2i)(1 - 2i) is the only product which results in a real number
The answer is C Radius because look o. the outside it's clearly bigger
The solution to the problem is as follows:
<span>Area=h×w
</span><span>1(1/2) = h × 2 (<span>1/4)
</span></span><span>⟹3/2 = h × <span>9/4
</span></span><span>h = 3/2 ÷ <span>9/4
</span></span><span>Therefore, the height will be 2/3 yards if we use all the blue paint.
</span>
I hope my answer has come to your help. Have a nice day ahead and may God bless you always!
Hello!
I've attached the diagram.
For this problem, since you have a right triangle, you can use the Pythagorean Theorem to fine the length of the ladder (the hypotenuse of the triangle).
Pythagorean Theorem (where c is the hypotenuse):
a² + b² = c²
The triangle's leg lengths are 8 and 6; substitute into the theorem:
8² + 6² = c²
Simplify:
64 + 36 = c²
100 = c²
10 = c
Answer:
The length of the ladder is 10 m.