Real number: -6 (for it is a constant)
Imaginary number is 2 & <em>i</em> (for it does not technically exist).
hope this helps
Answer:
A. (x + 4)(x + 2)
Step-by-step explanation:
x + 2x + 4x + 8
x (x + 2) + 4 (x + 2)
(x + 4)(x + 2)
Answer: The answer is 12 cm and 32 cm.
Step-by-step explanation: Let, 'x' cm be the breadth of the rectangle, then according to the question, the length will be (x + 20) cm.
Also, given that if the smaller side is made two times larger and the larger side three times larger, then the perimeter of the new rectangle would be 240 cm. So, we have
![2\times2x+2\times3(x+20)=240\\\\\Rightarrow 4x+6x+120=240\\\\\Rightarrow 10x=120\\\\\Rightarrow x=12.](https://tex.z-dn.net/?f=2%5Ctimes2x%2B2%5Ctimes3%28x%2B20%29%3D240%5C%5C%5C%5C%5CRightarrow%204x%2B6x%2B120%3D240%5C%5C%5C%5C%5CRightarrow%2010x%3D120%5C%5C%5C%5C%5CRightarrow%20x%3D12.)
So, the width of the original rectangle is 12 cm and its length will be (12 + 20) cm = 32 cm.
Thus, the lengths of the sides of original rectangle are 12 cm and 32 cm.
Answer:
2 2/5 hour
Step-by-step explanation:
Complete Question
A turtle can walk 1/12 of a kilometer in an hour. The turtle is 1/5 of a kilometer away from a pond.At this speed how long will it take the turtle to reach the pond?
From the above question:
1/12 km = 1 hour
1/5 km = x hour
Cross Multiply
1/12 km × x hour = 1/5 km × 1 hour
x hour = 1/5 km × 1 hour/1/12 km
x hour = 1/5 km ÷ 1/12 km
x hour = 1/5 × 12 hour
x hour = 12/5 hour
x hour = 2 2/5 hour
Answer:
x = 30
Step-by-step explanation:
Since the triangles are congruent then corresponding angles are congruent.
∠ B ≅ ∠ E
The sum of the 3 angles in Δ CDE = 180°, thus
∠ E = 180° - (55 + 65)° = 180° - 120° = 60°
Thus
2x = 60 ( divide both sides by 2 )
x = 30