Represent Age of Time Traveler =========> X
Solve:
x = 3(x - 20 )
Step 1: Simplify Both sides of equation:
x = 3(x - 20 )
x = (3) (x) + (3) ( - 20 ) (Distribute ):
x = 3x + - 60
x = 3x - 60
Step 2: Subtract 3x from both sides:
x - 3x = 3x - 60 - 3x
- 2x = - 60
Step 3: Divide both sides by -2:
- 2x / - 2 = - 60 / - 2
x = 30
Answer: Our Time Traveler is 30 years old.
Hope that helps : )
Rotation doesn't matter for this question... <em>The dilation is key... you made each side of the triangle 4 times bigger</em>
<h3>Answer:</h3>
A. False:
.... if the base is 4 times bigger and the height is 4 times bigger .... <em>the area will be </em><em>16</em><em> times bigger</em>
B. True .... you just add all sides, each is 4 times bigger
C. False ... by definition of dilation, the sides grew
D. True... Size changed, but the shape stayed the same (so, did the angles)
Answer:
80 feet
Step-by-step explanation:
Given:
Initial speed of the car (
) = 40 ft/sec
Deceleration of the car (
) = -10 ft/sec²
Final speed of the car (
) = 0 ft/sec
Let the distance traveled by the car be 'x' at any time 't'. Let 'v' be the velocity at any time 't'.
Now, deceleration means rate of decrease of velocity.
So, 
Negative sign means the velocity is decreasing with time.
Now,
using chain rule of differentiation. Therefore,

Integrating both sides under the limit 40 to 0 for 'v' and 0 to 'x' for 'x'. This gives,
![\int\limits^0_{40} {v} \, dv=\int\limits^x_0 {-10} \, dx\\\\\left [ \frac{v^2}{2} \right ]_{40}^{0}=-10x\\\\-10x=\frac{0}{2}-\frac{1600}{2}\\\\10x=800\\\\x=\frac{800}{10}=80\ ft](https://tex.z-dn.net/?f=%5Cint%5Climits%5E0_%7B40%7D%20%7Bv%7D%20%5C%2C%20dv%3D%5Cint%5Climits%5Ex_0%20%7B-10%7D%20%5C%2C%20dx%5C%5C%5C%5C%5Cleft%20%5B%20%5Cfrac%7Bv%5E2%7D%7B2%7D%20%5Cright%20%5D_%7B40%7D%5E%7B0%7D%3D-10x%5C%5C%5C%5C-10x%3D%5Cfrac%7B0%7D%7B2%7D-%5Cfrac%7B1600%7D%7B2%7D%5C%5C%5C%5C10x%3D800%5C%5C%5C%5Cx%3D%5Cfrac%7B800%7D%7B10%7D%3D80%5C%20ft)
Therefore, the car travels a distance of 80 feet before stopping.
Answer:
gang
Step-by-step explanation:
Answer: $30
Step-by-step explanation:
She has the money in her account for 24 months which is 2 years.
Simple interest is formula is:
A = P (1 + rate * no. of periods)
= 750 * ( 1 + 2% * 2)
= $780
She started with $750 and now has $780.
Earnings in simple interest :
= 780 - 750
= $30