Answer:
(4,-4)
Step-by-step explanation:
3*(6x+5y=4)
18x+15y=12
-) 18x – 4y = 88
19y = -76
y=-4
plug back into first equation
6x + 5(-4) = 4
6x = 4+20
x=4
The area of the rectangular pen is 10,000 m² and the area of the circular pen is 12,738.95 m².
For the rectangular pen, we want the sides to be congruent. To minimize perimeter and maximize area, the figure needs to be equilateral.
400/4 = 100 m for each side
This means that the area is 100(100) = 10,000 m².
If the pen is circular, this means the circumference is 400 m. Circumference is given by the formula C=πd:
400 = 3.14d
Divide both sides by 3.14:
400/3.14 = 3.14d/3.14
127.389 = d
The radius is half of the diameter:
r = 127.389/2 = 63.6945
The area of the circle is given by A=πr²:
A=3.14(63.6945)² = 12738.9465 ≈ 12738.95 m²
The ordered pair (-3 , ) is on g(x) ⇒ 1st answer
Step-by-step explanation:
Let us revise the reflection across the axes
- If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x) (change the sign of y)
- If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x) (change the sign of x)
∵
∵ f(x) is reflected across the y-axis to create the function g(x)
- Change the sign of x
∴
To find the point that lies on g(x) substitute x in g(x) by the x-coordinate of the point if the answer equal to the y-coordinate of the point, then the point lies on it if not then the point does not lie on it
∵ The coordinates of the point are (-3 , )
∴ x = -3 and y =
- Substitute x by -3 in g(x)
∵
∴
∴
∵
∴
∴
- Divide up and down by 2
∴
∵ The value of g(x) equal to the y-coordinate of the point
∴ The point (-3 , ) lies on g(x)
The ordered pair (-3 , ) is on g(x)
Learn more:
You can learn more about the reflection in brainly.com/question/5017530
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1. you do 7×---=21 next you do not what the answer was to 7×---=21 times 3
2. go back to 1.( what you did to 1. )
3. go back to 1. ( what you did to 1.)
5 bikes for each rack,
there are 6 racks
5 x 6 = 30
there are 30 bikes in the bike racks