For this case we propose a system of equations:
x: Let the variable representing the age of the first child of the Smiths
y: Let the variable representing the age of the second child of the Smiths
According to the data of the statement we have to:
From the first equation we have to:
We substitute in the second equation:
We find the solutions by factoring:
We look for two numbers that, when multiplied, result in 132 and when added, result in 23. These numbers are 11 and 12.
Thus, we have that the factorized equation is:
Thus, the solutions are:
So, we can take any of the solutions:
With 
Then
Therefore, the ages of the children are 11 and 12 respectively.
Answer:
The ages of the children are 11 and 12 respectively.
Answer:
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-1
Step-by-step explanation:
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The geometric term(s) modeled by each object are Hexagon, point, line, line, and plane, respectively.
<h3>What is a line?</h3>
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. A line segment is also a line but the line with finite length and having fixed endpoints.
The geometric term(s) modeled by each object
9. Stop sign ⇒ Hexagon
10. Tip of pin ⇒ Point
11. Strings of a violin ⇒ Line
12. A car antenna ⇒ Line
13. A library card ⇒ Plane
Hence, The geometric term(s) modeled by each object are Hexagon, point, line, line, and plane, respectively.
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The general solution for the given equation is 40°+120°n.
The period of g(x) is π.
The range of f(x) is [-1, 1].
- sin(x-30°) = cos 2x
- sin(x-30°) = sin(90°-2x)
- (x-30°) = (90°-2x) + 360°n
- x + 2x = 90° + 30° + 360°n
- 3x = 120° + 360°n
- x = (120° + 360°n)/3
- The general solution (x) is 40° + 120°n.
- g(x) = cos 2x
- The period of cos x is 2π.
- If the multiplying factor of x is 'n', then it decreases the period by n times.
- Here, in g(x), n is 2.
- The period of g(x) is equal to half the period of cos x.
- The period of g(x) = 2π/2
- The period of g(x) is π.
- f(x) = sin(x-30°)
- "Sin" is a trigonometric function which has a range from -1 to 1.
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Answer:nice!
Step-by-step explanation:
