Answer:
- parallel: 60 ft
- perpendicular: 30 ft
- area: 1800 ft^2
Step-by-step explanation:
Let x represent the length of fence parallel to the house. Then the length perpendicular is ...
y = (120 -x)/2
The area of the yard is the product of these dimensions, so is ...
A = xy = x(120-x)/2
This is the equation of a parabola that opens downward and has zeros at x=0 and x=120. The maximum (vertex) is on the line of symmetry, halfway between these zeros, at x=60.
The fence parallel to the house is 60 feet.
The fence perpendicular to the house is (120-60)/2 = 30 feet.
The area of the yard is (60 ft)(30 ft) = 1800 ft^2.
Answer:
25.92 foot strides
Step-by-step explanation:
The man will take 120/5 = 24 five foot stride to cover the initial 120 foot advantage of the child.
Within this time, the child would have covered an additional 24/5 x 2 = 9.6 extra foot stride.
Within this 9.6 food stride of the child, the man will have to take an additional 9.6/5= 1.96 strides.
Total foot stride by the man will be 24 + 1.96 = 25.92 foot strides.
I've attached an image showing the data relationship.
Answer:
1) y does not change based on changes in x: no-correlation
2) y tends to increase as x increases: positive correlation
3) y tends to decrease as x increases: negative correlation
Step-by-step explanation:
1) y does not change based on changes in x: This means that there is no correlation between y and x since change in x doesn't affect y.
2) y tends to increase as x increases: This implies positive correlation because the output increases with increase in input.
3) y tends to decrease as x increases: This implies negative correlation because the output decreases with increase in input values.
Answer:
X=28
Step-by-step explanation:
If x=28 then the degrees of the corners are 26, 84, and 70
Those added together equals 180 degrees, the amount of degrees a triangle is supposed to have.
