Answer:
the second answer
Step-by-step explanation:
The two positive consecutive integers we'll call x and x+2. then (x+2)² - x² =68
x²+4x+4-x²=68
4x=64
x=16
the integers are 16 and 18
Answer:
The option is: <em>all real values except x = 7 and the x for which f(x) = -3</em>
Step-by-step explanation:
As the domain of f(x) is the set of all real values except 7. So it can be written as follows:
Domain of f(x) = { x ∈ R | x ≠ 7}
As the domain of g(x) is the set of all real values except -3. So it can be written as follows:
Domain of g(x) = { x ∈ R | x ≠ -3}
It is a common rule that the domain of a composite function (gºf)(x) will be the set of those input x in the domain of f for which f(x) is in the domain of g.
So, the option is: <em>all real values except x = 7 and the x for which f(x) = -3</em>
Keywords: domain, composite function
Learn more domain and composite functions from brainly.com/question/2073574
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The best estimate for the diagonal of the rectangle is 3 ⇒ B
Step-by-step explanation:
In a rectangle:
- The length and the width are perpendicular
- The length of its diagonal =
(the diagonal is the hypotenuse of a right triangle whose legs are the length and the width of the rectangle)
∵ The width of a rectangle = x
∵ The length of the rectangle = 2x
∵ The diagonal =
- Substitute the length by 2x and the width by x
∴ The diagonal = 
∴ The diagonal = 
∴ The diagonal = 
∵ x = 1.33
- Substitute the value of x by 1.33 to find the diagonal
∴ The diagonal = 
∴ The diagonal = 2.973
∴ The diagonal ≅ 3
The best estimate for the diagonal of the rectangle is 3
Learn more:
You can learn more about the rectangles in brainly.com/question/13084321
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Answer:
44
Step-by-step explanation:
ΔTRS ≅ ΔTRQ
TS = TQ
2x + 8 = 40
x = 16
The same situation
SV = QV
3 * 16 - 4 = 44
