Answer:
The distance from B to B' is 5 units
Step-by-step explanation:
The complete question is
Polygon ABCD is translated to create polygon A'B'C'D'. Point A is located at (1,5) and point A' is located at (-2,1). What is the distance from B to B'?
we know that
In a translation the figure maintains its dimensions and internal angles
so
AA'=BB'=CC'=DD'
The distance BB' is the same that the distance AA'
<em>Find the distance AA'</em>
the formula to calculate the distance between two points is equal to
we have
A(1,5),A'(-2,1)
substitute in the formula
therefore
The distance from B to B' is 5 units
You need to use Pythagoras’ Theorem.
A² + B² = c² and c is the hypotenuse of the right angled triangle.
The height of the tower (5 feet) is A and the distance from the end of the cable and the base of the tower (12 feet) is B. The length of ONE cable is c. So:
A² + B² = c²
5² + 12² = c²
25 + 144 = c²
169 = c²
13 = c. This is the length of one cable.
3 x 13 = 39 therefore the total length of the cables is 39 feet.
25
Answer:
slope = -2
y-intercept = 5
Step-by-step explanation:
1) Find slope:
= 
= -2
-2 = slope
2) Find y intercept trough point slope and slope-intercept forms
y - y1 = m (x - x1)
y - 9 = -2 (x + 2)
y - 9 = -2x -4
+ 9 + 9
y = -2x + 5
y = mx + b with b being the y-intercept
5 = y-intercept
Answer:
Monthly payment = $18325.6
Step-by-step explanation:
From the question,
P = 14000
t = 4 years
R = 6.75%
To calculate the monthly payment for this loan, let's use the below formula
Amount = P( 1 + 6.75%/12)^4×12
Amount = 14000(1.005625)^48
Amount = 18325.633 dollars
Monthly payment = $18325.6
