If the given number is in base 2, that means
11100111₂ = 2⁷ + 2⁶ + 2⁵ + 2² + 2 + 1
8 = 2³, and so we have
11100111₂ = 2 • (2³)² + (2³)² + 2² • 2³ + 2² + 2 + 1
11100111₂ = 3 • 8² + 4 • 8 + 7
11100111₂ = 347₈
Because 8 is the 3rd power of 2, we can also split up the given number into block of length up-to 3, then convert each block directly into base 8:
11 100 111
11₂ = 2 + 1 = 3
100₂ = 2² = 4
111₂ = 2² + 2 + 1 = 7
so again we get 347₈.
X^2 + 2x -8
The factors of 8 are 2 and 4, and to get 2x we need 2 and 4 to either add up to or subtract to result in 2.
4 - 2 = 2. We also know this is right because 4 x -2 = -8. So the answer is:
(x + 4)(x - 2)
Answer:
Step-by-step explanation:
Both of the triangles are isosceles as marked on the diagram.
<u>The right triangle has missing angles of:</u>
<u>The missing angles of the bigger triangle:</u>
- m + n = 1/2(180° - 50°)
- m + 45° = 65°
- m = 20°
