40 (x-2y+z) ……………………………….
Answer:
c
Step-by-step explanation:
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X = first integer, y = second integer (right after x)
since y is right after x, we can say
y = x+1
If the product of the two integers (x and y) is 42, then
x*y = 42
x*( y ) = 42
x*( x+1 ) = 42 ... y is replaced with x+1
x*x + x*1 = 42
x^2 + x = 42
x^2 + x - 42 = 0
(x + 7)(x - 6) = 0 ... factor
x + 7 = 0 or x - 6 = 0
x = -7 or x = 6
The result must be positive as the problem states it, so we toss out x = -7
The only answer is x = 6
If x = 6, then
y = x+1
y = 6+1
y = 7
The two consecutive numbers are 6 and 7
The final answer is 6
Sure enough, 6*7 = 42 checks out
Answer:
The answer is option 3.
Step-by-step explanation:
First we have to find the area of both rectangle and triangle :
Rectangle,

Let base = 9,
Let height = 3,

Triangle,

Let base = 3,
Let height = 3,

Lastly, in order to find the shaded region you have to substract the area of triangle from the area of rectangle :
