Answer:
x=12 and the scale factor is 1.5
Step-by-step explanation:
From D' to F' is 7.5 and from D to F is 5cm the difference is 2.5. From F' to E' is x and from F to E is 8. This is just understanding what you can see. You find x by figuring out the ratio from 5 to 7.5 is and 8 to x or vise versa. It depends which way you are going. I think you are going from E,D,F to E',D',F'. So from 5cm to 7.5 cm. This is 1.5 because you are dividing 7.5/5. If you needed to find x, it would be 12.
The correct option is "d".
Given that L = 0.8T²
length of pendulum = 30ft
L= 0.8T²
30 = 0.8T²
T² = 30 / 0.8
T² = 37.5
T = √37.5 = 6.1 seconds
<span>So, 6.1 is the closest to the period in seconds for a pendulum that is 30 ft long.</span>
9.5 feet,to find that you must find out how many times longer the shadow of the pole is than the pole, and to do that you must divide 95 by 50, in which you get 1.9. And then to find the length of the shadow the man casts you must multiply his height by 1.9.
Answer:
y = - 2(x + 4)² + 6
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (- 4, 6 ) , thus
y = a(x - (- 4) )² + 6 , that is
y = a(x + 4)² + 6
To find a substitute (- 2, - 2) into the equation
- 2 = a(- 2 + 4)² + 6 ( subtract 6 from both sides )
- 8 = a(2)² = 4a ( divide both sides by 4 )
- 2 = a , thus
y = - 2(x + 4)² + 6 ← equation in vertex form
I think it would be
21/200
