Katie can mow at a constant speed rate of 4/5 lawns per hour
1 answer:
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Answer:
Step-by-step explanation:
The translation speed of the wheel is:
The angular speed of the wheel is:
Answer:
x=6
Step-by-step explanation:
Hi there!
<u>1) Determine the perimeter of the square</u>
We're given that the perimeters of the square and the rectangle are equal. Therefore, after finding the perimeter of the square, we will also know the perimeter of the rectangle.
Find the side length of the square using the area formula:
where l is the side length
Plug in the given area 121 in.²
Take the square root of both sides
Therefore, the side length of the square is 11 inches. Plug this into the perimeter formula:
where l is the side length
Therefore, the perimeter of the square is 44 inches. The perimeter of the rectangle is also 44 inches.
<u>2) Determine the value of x</u>
Use the formula for the perimeter of a rectangle:
where l is the length and w is the width
Plug in 3x and x-2 as the length and width
Plug in the perimeter 44 in.
Expand the parentheses
Add 4 to both sides to isolate 8x
Divide both sides by 8 to isolate x
Therefore, the value of x is 6.
I hope this helps!
Answer:
no solutions
Step-by-step explanation:
Hi there!
We're given this system of equations:
x+y=3
4y=-4x-4
and we need to solve it (find the point where the lines intersect, as these are linear equations)
let's solve this system by substitution, where we will set one variable equal to an expression containing the other variable, substitute that expression to solve for the variable the expression contains, and then use the value of the solved variable to find the value of the first variable
we'll use the second equation (4y=-4x-4), as there is already only one variable on one side of the equation. Every number is multiplied by 4, so we'll divide both sides by 4
y=-x-1
now we have y set as an expression containing x
substitute -x-1 as y in x+y=3 to solve for x
x+-x-1=3
combine like terms
-1=3
This statement is untrue, meaning that the lines x+y=3 and 4y=-4x-4 won't intersect.
Therefore the answer is no solutions
Hope this helps! :)
The graph below shows the two equations graphed; they are parallel, which means they will never intersect. If they don't intersect, there's no common solution
