27-2b > -6
-2b > -6-27
-2b > -33
b < -33/-2 (you have to change the sign when you divide with a negative number)
b < 16.5
(all the signs are supposed to have a line under them to make them greater or equal or less than or equal to)
H = –16t2 + 156t + 105, when t = t', the time where the rocket hit the ground after it is launched, so 105= –16t'2 + 156t' + 105, so -16t'2 + 156t' = 0 implies t' =0 or -16t'+ 156= 0, equivalent to t'=9.75, so the answer is
b) <span>9.8 s</span>
<h3>
Answer:</h3>
A: 6 ft²
B: 3 ft² is the area of each of the two congruent triangles
<h3>
Step-by-step explanation:</h3>
Part A. As with a rectangle, the area of a parallelogram is the product of base length and height.
Area = (8 ft)·(3/4 ft) = 6 ft²
___
Part B. If you cut the area into two halves, each half will have half the area of the original. (That should not be a surprise.)
triangle area = (6 ft²)/2 = 3 ft²
If the triangles are created by a diagonal across the original figure, each will have a base length and height that is the same as that of the original figure. The area of a triangle is half the product of base and height, so each triangle will have area ...
triangle area = (1/2)bh = (1/2)(8 ft)(3/4 ft) = 3 ft²
There are 2×2×2×2×2×2 = 2⁶ = 64 possible settings.
_____
Each switch can be in 2 positions, and for each of those, the other switches can have all possible settings. 1 switch has 2 settings. 2 switches will have 2×2 settings. 3 switches will have 2×2×2 settings.
Answer:
x = - 3
y = 4
Step-by-step explanation:
x + y = 1 | (-3)
x + 3y = 9
- 3x - 3y = - 3
x + 3y = 9
_____________
- 3x + x = 9 - 3
- 2x = 6
2x = - 6
x = - 3
- 3 + y = 1
y = 1 + 3
y = 4