Answer:
C. x = 6
Step-by-step explanation:
6 + 4 = 10
Answer:
slope or m= -5/2
Step-by-step explanation:
Original coordinates of the points:
A (8,15) ; B (12,13) ; C (8,10)
Dilated scale factor of 3.
A ⇒ 3x = 3(8) = 24 ; 3y = 3(15) = 45 ⇒ A' (24,45)
B ⇒ 3x = 3(12) = 36 ; 3y = 3(13) = 39 ⇒ B' (36, 39)
C ⇒ 3x = 3(8) = 24 ; 3y = 3(10) = 30 ⇒ C' (24, 30)
The given image forms a right triangle. So, I'll get the short leg and long leg of the right triangle to solve for the hypotenuse, length of CB.
Short leg: y value of B and C
39 - 30 = 9
Long leg: x value of B and C
36 - 24 = 12
a² + b² = c²
9² + 12² = c²
81 + 144 = c²
225 = c²
√225 = √c²
15 = c
The length of CB is 15 units.
Answer:
Step-by-step explanation:
r=(2,-3,0) + t (1,0,-1)
r=(2+t, -3+0t,0+(-t))
x(t)=2+t
x(t)=t+2
y(t)=0t-3
y(t)=-3
z(t)=0+(-t)=-t
z(t)=0-t
z(t)=-t
<h3>
Answer: 101 revolutions</h3>
========================================================
Explanation:
C = circumference
C = pi*d
C = 3.14*19
C = 59.66
The distance around the wheel's edge is roughly 59.66 inches. This corresponds to the distance the bike travels after the tire spins one full revolution. It might help to imagine that there's wet paint on his tire, and that paint is being transferred to the flat ground.
Let x be the number of revolutions. After those x revolutions happen, the bike has moved forward 59.66x inches. Set this equal to 6000 (because 500 ft = 500*12 = 6000 inches) and solve for x
59.66x = 6000
x = 6000/59.66
x = 100.569896077774
x = 101
After 101 revolutions, Jason has traveled about 500 ft.
Note how x = 100 is too small because 59.66*x = 59.66*100 = 5966 which is 34 inches short of 6000 inches.
And also notice that x = 101 works because 59.66*x = 59.66*101 = 6,025.66 which is over the target mark we're after.
