Answer:
−2x^2+6x
Explanation:
You just have to distribute meaning you have to multiply -2x to the equation.
Answer:
Mean speed = 41.3 mph
Step-by-step explanation:
Given that,
The speeds of an automobiles are given below:
20, 35, 42, 52, 65, 49, 24, 37, 23, 41, 50, 58
We need to find the mean speed of the cars.
Mean = sum of observations/ no. of observation
So, the mean speed of the cars is equal to 41.3 mph.
Answer:
Area: 272ft²
Volume = 82.6236447189ft³
Step-by-step explanation:
AREA
The area of a square pyramid is found by combining the area of the base and the area of the triangular faces:
Area of base = area of square = L² = 8² = 16ft²
Area of one triangular face = (1/2)bh = (1/2)(8)(16) = 64ft²
There are four triangular faces so the total area = 16+4(64)= 16+256= 272 ft²
VOLUME
The volume of a square pyramid = (a²)(h/3), where a is the length of the base and h is the length from the top of the pyramid to the middle of the square.
We are given a, but not h. To find h, we must imagine a right-angled triangle within the pyramid, where 16ft is the hypotenuse, h is the height and the base is half of a (since the base is a square and the distance is from the edge to the middle). We can then use pythagorus's theorem to find h:
A²=B²+C²
16²=(8/2)²+h²
256=16+h²
h=√240
h=15.4919333848ft
Knowing h, we can find the volume:
Volume = (a²)(h/3)
Volume = (8²)(15.4919333848/3)
Volume = (16)(5.16397779493)
Volume = 82.6236447189ft³
Answer:
Step-by-step explanation:
Sum of all angles of a triangle = 180
x + 64 + x + 45 + 79 = 180
Combine like terms.
2x + 188 = 180
2x = 180 - 188
2x = - 8
x = -8/2
x = -4
x + 64 = -4 + 64 = 60
x + 45 = -4 + 45 = 41
Answer:
A. x - 3
Step-by-step explanation:
(f - g)(x) = f(x) - g(x)
(f - g)(x) = (3x - 2) - (2x + 1)
(f - g)(x) = 3x - 2x - 2 - 1
(f - g)(x) = x - 3
