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.
Because if you draw a three pies and cut all of them into 8 pieces and
shade 6 in one, 5 in the other, and 7 into the last one, you will see
that there is a bigger piece shaded in the one with 6 shaded than the
pie with 5 shaded. And less shaded than the one with 7 shaded.
Answer:
16
Step-by-step explanation:
In China, it has a formula, writing S = one-half (s·h)
The B coordinate minus the D sitting mark is s, the A coordinate minus the C coordinate is h, that is, S = one half (8 × 4) = 16
Answer:
B or C or maybe A
Step-by-step explanation:
Answer:
<u>(</u><u>-3.5, 2.3</u><u>)</u>
Step-by-step explanation:
Let the point P have coordinates : (x, y)
The line (from R to Q) is divided in the ratio :
Coordinates of :
Using section formula :
- x = mx₂ + nx₁ / m + n
- x = 5(-5) + 1(4) / 5 + 1
- x = -21/6 = -7/2
- x = -3.5
- y = my₂ + ny₁ / m + n
- y = 5(3) + 1(-1) / 5 + 1
- y = 14/6 = 7/3
- y = 2.3
The coordinates of the point P are : <u>(</u><u>-3.5, 2.3</u><u>)</u>
