Thanks for your equation!
This problem seems tricky, but is pretty simple.
All we have to do is add:
3 - 7i + 8 + 4i
And combine like terms:
-3i + 11
Hope this helps!
The answer is 3.2 as a decimal. In mixed for it is 3 1/5 and in simplest form it is 16/15
Answer:
(5, 0 )
Step-by-step explanation:
Given the 2 equations
y = x² - 2x - 15 → (1)
y = 8x - 40 → (2)
Substitute y = x² - 2x - 15 into (2)
x² - 2x - 15 = 8x - 40 ( subtract 8x - 40 from both sides )
x² - 10x + 25 = 0 ← in standard form
(x - 5)² = 0 ← in factored form, thus
x - 5 = 0 ⇒ x = 5
Substitute x = 5 into (2) for corresponding value of y
y = 8(5) - 40 = 40 - 40 = 0
Solution is (5, 0 )
Area of rectangles = Length x width.
Area of triangles = 1/2 x base x height.
1 face is 12 x 10 = 120 square units
1 face is 12 x 8 = 96 square units
1 face is 12 x 6 = 72 square units
And 2 faces are 1/2 x 8 x 6 = 24 square units
Answers are 24 , 72 and 96 square units.
In order to find the area of the semicircle, or the shaded region, we just have to find the area of the entire circle and divide it by 2. The formula for the area of a circle is

. With the given diameter of 12, we can deduce that the radius is 6.
Area of Semicircle = (

/2)
Area of Semicircle = (3.14 x 36/2)
Area of Semicircle = (3.14 x 18)
Area of Semicircle = 56.52

Hope this helps!