Answer:
CD= 15.03
Step-by-step explanation:
x1=7, x2= -8
y1=-4, y2=-5
distance CD= √(x2- x1) 2+ (y2-y1)2
= √( -8-7)2 + [-5-(-4)]2
= √(15)2+ (-5+4)2
= √225+ (1)2
= √225+1
= √226
= 15.03
Answer:
4x-3
Step-by-step explanation:
Multiply the minus sign to lose the brackets
7x-5-3x+2
combine like terms
7x-3x-5+2
Simplify
4x-3 Answer
Hope this helps!
Answer:
358.125
Step-by-step explanation:
8595/24=358.125
The given trinomial can be factored using factorization as
x²-x-12
=x²-4x+3x-12
=x(x-4)+3(x-4)
=(x-4)(x+3)
Thus x-4 and x+3 are the factors of the given trinomial. From these we can see x+3 is listed in option A
So the answer to this question is Option A
Answer:
height = 20.5068 m
Step-by-step explanation:
Given the data in the question;
First, lets calculate the amplitude, midline and period of 8minutes
Amplitude = 35 / 2 = 17.5
|A| = 17.5
A = - 17.5 { since the wheel starts at 6 o clock }
midline C = (35/2) + 3
C = 17.5 + 3
C = 20.5
And period is 8 minutes
⇒ 2π/B = 8
8B = 2π
B = 2π/8 = π/4
So our equation will be in the form of;
y = h(t) = Acos(B×t) + C
∴ h(t) = -17.5cos( π/4×t) + 20.5
Now, How high are you off the ground after 6 minutes
⇒ height = -17.5cos( π/4 × 6) + 20.5
height = -17.5cos( π/4 × 6) + 20.5
height = -17.5cos( 4.71238898) + 20.5
height = -17.5 × cos( 4.712) + 20.5
height = -17.5 × -0.00038898 + 20.5
height = 0.0068 + 20.5
height = 20.5068 m
