Answer:
x = 4 and y = - 5
Step-by-step explanation:
note that the product of a complex number and it's conjugate is real
That is
(a + bi)(a - bi) where a, b are real
= a² - abi + abi - b²i²
= a² + b² ← a real number
For (4 + 5i)(x + yi) to be real
we require (x + yi) to be the conjugate of 4 + 5i , that is 4 - 5i
(4 + 5i)(4 - 5i) ⇒ x = 4 and y = - 5
Answer:
On the right is a circle with centre (0, 0), radius r and (x, y) any point on the circle. Distance between (0,0) and (x, y) equals the radius, r. If the centre is (0, 0), the equation of the circle will be of the form x2 + y2 = r2.
Answer:
okay
Step-by-step explanation:
Answer: 1/24 or 0.0416
Step-by-step explanation:
Answer:
<h2>120 square meters</h2>
Step-by-step explanation:
To find the SA of 2 Triangles, we will use the formula... B x H, and the Base and Height is going to be the dimensions of just 1 triangle, but it's going to give the answer for 2 triangles, in this shape, we have 2 triangles.
SA = B x H
= 6 x 4
= 24
24 square meters for both of the triangles
Now, let's find the SA of the rectangle on the bottom...
SA = L x W
= 6 x 6
= 36
36 square meters for 1 of the 3 rectangular parts, the one on the bottom
Now, lets find the SA of the 2 rectangles on the top. We'll use the dimensions of 1 rectangle and find the answer for 2 answers by using the formula...
SA = L x W x 2
= 6 x 5 x 2
= 30 x 2
= 60
60 square meters for the 2 rectangles on the top.
Now, we have to add all of our answers.
24 + 36 + 60 = 120 square meters
<h2>
Hence, the SA (surface area) of this shape is 120 square meters.</h2>
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