Answer:
10.43398113
Step-by-step explanation:
decimal for
<span>(x + 8) (x + 6) = 160
x² +6x +8x +48 = 160
</span>x² +6x +8x +48 - 160 =0
<span>x² +14x -112=0
You have to calculate the discriminant.
(Please mark be brainliest)
</span>
Answer:
D. right; scalene
Step-by-step explanation:
As you can see in the diagram you have a 90, 50, and 40 degrees angles. Because one of the angles is equal to 90 degrees (a right angle) this triangle can be classified as a right triangle.
No congruent sides are shown.... That means it's a scalene.
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
Answer:
Step-by-step explanation:
Given
Required
Solve
The expression can be split to:
So, we have:
Rewrite as:
