Write a linear function that is the parent function f(x)=x stretched by a factor of 6 and translated 7 units down
1 answer:
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We can solve this by using systems of equations.
Let's find our first formula, how much money was made using the tickets.
Here x is how many child tickets we sold and y is how many adult tickets we sold. Now that we have defined that, we can make another formula for the total tickets sold!
since we sold 156 tickets that could be any combination of child and adult tickets.
Let's solve this system. I'm going to use <em>substitution</em> so I'm going to take our second formula and subtract both sides by x to get .
Now I will plug this in the first equation for y to get You plug it in for y to get
From this you can solve for x to get .
Since
There were 99 child tickets and 57 adult tickets.
<u>Question:</u>
Which statements are true regarding the area of circle D? Select two options.
The area of the circle depends on the square of the radius.
The area of circle D is 36Pi centimeters squared.
The area of circle D is 324Pi centimetres squared
The area of the circle depends on the square of pi.
The area of the circle depends on the central angle.
<u>Answer:</u>
<u>The following statements are true regarding the area of circle D: </u>
- The area of the circle depends on the square of the radius
- The area of circle D is 324Pi centimeters
<u>Step-By-Step Explanation:</u>
As we know, the formula for area of the circle is given by,
Where, r = radius of the circle. In figure, CD = radius = 18 cm
So, the circle area can be measured as
From this, concluding that the circle area depends on radius square and its value is . Hence, the statement given in option A and C are correct (reveals that option B is incorrect).
As the Pi is constant, the circle radius cannot depend on Pi value and Option D also incorrect. The area of sector of circle only depends on ratio of central angle to entire circle (So option E also incorrect).
