Answer:
Both Amy and Fraser walk distances equal to the radius of the lawn.
Step-by-step explanation:
The radius of a circle is a line segment from the center to the outside edge (circumference).
Amy walks from O, the center, to A, along the outside edge, using segment OA. This is a radius of the circle.
Fraser walks from O, the center, to B, along the outside edge, using segment OB. This is a radius of the circle.
Thus the correct answer is that both Amy and Fraser walk distances equal to the radius of the lawn.
The slope is basically the coefficient of x and that is 1 since 1x=x. To find the y-intercept, you need to subtitute x=0 into y=x+5 because x is at 0 when you are looking at the y-intercept.
y=0+5=5
So the slope is 1 and the y-intercept is 5.
Answer:
The oldest age of Olivia’s sister can be 11 years.
Step-by-step explanation:
Given: Olivia’s sister’s age is x years.
To write: inequality that can be used to represent the given situation.
As Olivia is 6 years older than her sister,
Olivia's age 
As the sum of their ages is no more than 28 years,
So, the oldest age of Olivia’s sister can be 11 years.
I think you forgot to put a sign for g(x)
If g(x)=f(x) +3 then the answer is a
If g(x)=f(x) -3 then the answer is c
Simplifying
2y + 5x + -1z = 4y + 6x
Reorder the terms:
5x + 2y + -1z = 4y + 6x
Reorder the terms:
5x + 2y + -1z = 6x + 4y
Solving
5x + 2y + -1z = 6x + 4y
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x' to each side of the equation.
5x + 2y + -6x + -1z = 6x + -6x + 4y
Reorder the terms:
5x + -6x + 2y + -1z = 6x + -6x + 4y
Combine like terms: 5x + -6x = -1x
-1x + 2y + -1z = 6x + -6x + 4y
Combine like terms: 6x + -6x = 0
-1x + 2y + -1z = 0 + 4y
-1x + 2y + -1z = 4y
Add '-2y' to each side of the equation.
-1x + 2y + -2y + -1z = 4y + -2y
Combine like terms: 2y + -2y = 0
-1x + 0 + -1z = 4y + -2y
-1x + -1z = 4y + -2y
Combine like terms: 4y + -2y = 2y
-1x + -1z = 2y
Add 'z' to each side of the equation.
-1x + -1z + z = 2y + z
Combine like terms: -1z + z = 0
-1x + 0 = 2y + z
-1x = 2y + z
Divide each side by '-1'.
x = -2y + -1z
Simplifying
x = -2y + -1z
