Answer:
Solution: Option C
Step-by-step explanation:
Our goal here is to factor the expression such that it is converted into the circle equation (x - a)² + (y - b)² = r² where r = radius centered at point (a,b).
(Factor the expression "x² + 8x")
(Factor the expression "y² - 12y")
That leaves us with the expression 
, or in other words 
. As you can see our solution is option c.
Answer:
Step-by-step explanation:
Line DE is parallel to line AG.
Also, triangle ABG is similar to triangle to triangle DBE.
Therefore,
AB/DB = GB/EB = AG/DE
AB = 5 + 6 = 11
GB = 9 + x
Therefore,
11/6 = (9 + x)/9
Cross multiplying, it becomes
11 × 9 = 6(9 + x)
99 = 54 + 6x
Subtracting 54 from the Left hand side and the right hand side of the equation, it becomes
54 - 54 + 6x = 99 - 54
6x = 45
Dividing the Left hand side and the right hand side of the equation by 6, it becomes
6x/6 = 45/6
x = 7.5
Answer:
32 mi @ N77°E
Step-by-step explanation:
The route of travel forms legs of a right triangle, so the final distance (d) from harbor can be found using the Pythagorean theorem:
d² = 28² +16² = 784 +256 = 1040
d = √1040 ≈ 32.249 . . . miles
___
The angle (α) added to the original N47°E bearing can be found using the fact that opposite and adjacent sides are given. So, they can tell you the tangent of the angle:
tan(α) = 16/28
α = arctan(16/28) ≈ 29.74°
Then the bearing to the final position is ...
47° +29.74° = 76.74° . . . . . east of north
Rounded to whole numbers, the final position from harbor is ...
32 miles @ N 77° E
Answer:
115.6
Step-by-step explanation:
115.6, this would be your answer because 17 hours × 6.8 would get you 115.6
so 17 × 6.8 = 115.6
Answer:
8(a+4)=8a+32
Step-by-step explanation:
