I believe the slope is 1/3.
Answer: 26
Step-by-step explanation:
Let the tens digit=x
and units digit=y
Hence sum x+y=8…………(i)
Number =10x+y
Number formed by reversing the digits =10y+x
(10y+x)=(10x+y)+36 i . e. 9y-9x=36
Or y=x+4…………..(ii)
Adding (i) and (ii) gives 2y=12
Hence y=6
hence from (i)
x=8-y
8–6 = 2
hence Number =26
The simplest way in solving this is to find the factors of 64, and its corresponding negative values.
So, x = {1, 2, 4, 8, 16, 32, 64}
So its corresponding x values to get -64 are:
x = {-64, -32, -16, -8, -4, -2, -1}
Now, we notice that 8 and -8 are the same magnitude, with opposite signs. That means when they are added, they will cancel.
Hence, your two numbers are 8 and -8
Answer:Area of the lawn is 1725 ft^2
Step-by-step explanation:
The yard is in the shape of a trapezoid. The area of the lawn can be determined by finding the area of the trapezoid. The formula for determining the area of a trapezoid is expressed as
Area of trapezoid =
1/2(a + b)h
Where
a is the length of one of the parallel sides of the trapezoid
b is the length of the other parallel side of the trapezoid.
h is the perpendicular height of the the trapezoid.
From the diagram,
a = 50 feet
b = 65 feet
h = 30 feet
Area of the lawn = 1/2(50 + 65)× 30
= 1/2 × 115 × 30 = 1725 ft^2
Answer:
see explanation
Step-by-step explanation:
(a)
AB = AO + OB = - a + b = b - a
(b)
OP = OA + AP = a + (b - a ) = a + b - a = a - b