So you have two of those--when you add those together, you get "seven and eight-tenths," or 7.8 The 2 shorter sides are what's left to still measure. If the total perimeter is 10.4, you get the shorter sides by: 10.4 - 7.8 = 2.6, but REMEMBER, the 2.6 is BOTH shorter sides added together, so each ONE of them is 1.3 SO... your hallway/rectangle is 3.9 meters on each long side, and 1.3 meters on each short side. i hope this helps you
Answer:
2 ^ 15
Step-by-step explanation:
2 ^9 * 2 ^ 2 * 2 ^ 4
When we multiply numbers with the same base, we can add the exponents
a^ b * a^ c = a^(b+c)
2 ^9 * 2 ^ 2 * 2 ^ 4
2 ^ ( 9+2+4)
2 ^ 15
Answer:
Maximum height is 7 feet
Step-by-step explanation:
Solution:-
- The complete question is as follows:
" The height of a small rise in a roller coaster track is modeled by f(x) = –0.07x^2 + 0.42x + 6.37, where x is the distance in feet from a supported at ground level.
Find the greatest height of the rise "
- To find any turning points ( minimum or maximum ) points of a trajectory expressed as function of independent parameter, we find the critical points of the trajectory where the first derivative of the dependent variable w.rt independent variable is set to zero.
- In our case the height of the roller coaster track (y) is function of the distance (x) from a supported pole at ground level.
f(x) = –0.07x^2 + 0.42x + 6.37
- Now set the first derivative equal to zero, and determine the critical values of x:
0 = -0.14x + 0.42
x = 0.42 / 0.14 = 3 ft
- The critical value for the coaster track is at point 3 feet away from the supported pole at ground level. So the height f(x) at x = 3 ft, would be:
f ( x = 3 ) = max height
max height = –0.07*3^2 + 0.42*3 + 6.37
= 7 ft
The correct option is D. In fact, you can evaluate this function at every possible input x.
All this function does is:
- Take a number x
- Add 6
- If the result is negative switch the sign, otherwise keep it as it is
As you can see, you can perform these operations regardless of the input x.
Answer: the coordinates of B' are (6, -13)
Justification:
1) Translating triangle ABC according to the rule (x,y) → (x + 2, y - 8) means that every single point of the triangle will be translated two units to the righ (x + 2) and 8 units downward (y - 8).
2) To find the coordinates of anay image you have to add up 2 to the x coordinate (x + 2) and subtract 8 from the y-coordinate (y - 8).
3) Peforming those simple operations to the coordinates of the point B (4, -5), you will obtain the point B':
* x' = x + 2 = 4 + 2 = 6
* y' = y - 8 = -5 - 8 = - 13
Answer: the coordinates of B' are (6, -13)
