Answer:
B.35
Step-by-step explanation:
The sequence is
14, ,56,....
14 , x , 56
Think of it as 14 + d = x
x+ d = 56
d is the common difference
We now have 2 equations and 2 unknowns
Substitute the first equation in for x into the second equation
x+d =56
(14+d) +d = 56
Combine like terms
14 + 2d = 56
Subtract 14 from each side
14-14 + 2d = 56-14
2d = 42
Divide by 2
2d/2 =42/2
d = 21
The common difference is 21
Now we can find x
14 + d = x
14+ 21 = x
35 =x
The unknown term is 35
Answer:
174 ft²
Step-by-step explanation:
Assuming you're interested in the area of the figure, you can compute it as the sum of the areas of the triangle and rectangle.
The unknown side of the triangle can be figured from the overall dimension of the rectangle and the two lengths that are not part of the triangle base:
6 ft + triangle base + 6 ft = 18 ft
triangle base = 18 ft - 12 ft = 6 ft
Then the area of the triangle is ...
A = 1/2bh = 1/2(6 ft)(4 ft) = 12 ft²
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Of course, the area of the rectangle is the product of its length and width:
A = LW = (18 ft)(9 ft) = 162 ft²
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The total area of the figure is the sum of these:
area = triangle area + rectangle area
area = 12 ft² +162 ft²
area = 174 ft²
Answer:
Prime
Step-by-step explanation:
L (length) = w+16
l x w = Area
260 = l x w
260 = (w+16) x w
260 = w^2 + 16w
w^2 + 16w -260 = 0
(w+26) (w-10) = 0
w= -26 (reject) or w = 10
if w = 10, l = 26
10ft x 16 ft
Answer: All real numbers
Step-by-step explanation:
−2(x + 3) = −2(x + 1) − 4
-2x -6 = -2x -2 -4
-2x -6 = -2x -6
-2x = -2x
