Answer:
i) 28 - 30i
ii) 36 + 28i
Step-by-step explanation:
i) x = 6 + i ⇒2x = 2(6 + i) = 12 + 2i
z = 4 - 8i ⇒ 4z = 4(4 - 8i) = 16 - 32i
2x + 4z = (12 + 2i) + (16 - 32i) = 28 - 30i
ii) w = -1 + 5i and z = 4 - 8i
w × z = (-1 + 5i)(4 - 8i) = -4 + 8i + 20i - 40
⇒collect like terms
w × z = -4 + 28i - 40
∵ 
∴w × z = -4 + 28i - 40(-1) = -4 + 28i + 40 = 36 + 28i
Answer:
$450000*0.015=$6750
Step-by-step explanation:
1.5% as a decimal is 0.015
You then multiply the sale amount by the decimal to get $6750
The mid-point for given endpoints is (4,3)
Step-by-step explanation:
a mid-point is the point on a line segment that divides it into two equal portions.
If (x1,y1) and (x2,y2) are the coordinates of vertices of a line segment, then mid-point is given by:
given
(x1,y1) = (9,9)
(x2,y2) = (-1,-3)
The mid-point for given endpoints is (4,3)
Keywords: Coordinate Geometry, Mid-point
Learn more about coordinate geometry at:
#LearnwithBrainly
Answer:
6 cm
Step-by-step explanation:
Answer:
65
Step-by-step explanation:
First, let's consider the case where you have 1 apple in the basket. The possible number of baskets you can have with 1 apple is 11: the case where you have no oranges besides the apples, the case where you have 1 orange, the case where you have 2 orange, etc.
This line of reasoning can be followed by each possible amount of apples you can have: 0, 1, 2, 3, 4 and 5.
Keep in mind that in the case where you have no apples, you must exclude the case where you also have no oranges, because the problem tells you that the basket must have at least 1 fruit.
So, the answer would be:
x = 6*11 -1 = 65 possible baskets
