G and b are the answers I think I will get more answers if I were you
The area of the triangle as a function of x is A = 3x^2/[2(x -5)] and the domain is x > 5
<h3>Write the area A of the triangle as a function of x</h3>
From the figure, we have the following points:
(0,y), (5,3), and (x,0)
Next, we calculate the slopes between the points.
This is calculated as follows:
- Slope between (0,y) and (5,3) = [y - 3]/[0 - 5] = [3 - y]/5
- Slope between (5,3) and (x,0) = [3 - 0]/[5 - x] = 3/[5 - x]
The slopes are equal.
So, we have:
[3 - y]/5 = 3/[5 - x]
Cross multiply
(3 - y)(5 -x) = 15
Divide by 5 - x
(3 - y) = 15/(5 -x)
This gives
y = 3 - 15/(5 -x)
This gives
y = [15- 3x - 15]/[5 - x]
Evaluate
y = 3x/(x - 5)
The area is calculated as:
Area = 1/2 * xy
So, we have:
Area = 1/2 * x * 3x/(x - 5)
Evaluate
Area = 3x^2/[2(x -5)]
Hence, the area of the triangle as a function of x is A = 3x^2/[2(x -5)]
<h3>
The domain of the function</h3>
We have:
A = 3x^2/[2(x -5)]
Set the denominator > 0
2(x - 5) > 0
Divide by 2
x - 5 > 0
Add 5 to the sides
x > 5
Hence, the domain is x > 5
Read more about domains at:
brainly.com/question/2428614
#SPJ1
Your answers are:
1: 14
2: 66
3: 4
4: 1/16 or 0.0625
5: 17
6: 1
Hope this helps!
The system of linear equations x + y = 35 and y = 4x represents the two numbers
<u>Solution:</u>
Given that, The sum of two numbers is 35
The second number, y, is equal to 4 times the first number "x"
We have to find which system of linear equations represent the two numbers? We have two conditions for two variables, so we can obtain two equations, which means a system of equations.
Now, 1st condition ⇒ sum of two numbers is 35 ⇒ x + y = 35
And, 2nd condition ⇒ second number is 4 times the first number ⇒ y = 4x
Hence, the equations, x + y = 35 and y = 4x represents the given numbers.
The equation that relates the x and y values in the chart above is: y = 7x. It can be observed that each value of x when multiplied with a factor of 7 gives the corresponding y value. For example, for x equals 1, y is equal to 7 times 1 which gives a value of 7. For x equals 5, the y value is equal to 7 times 5 which gives the number 35.
