Answer:
An example would be the way that the shelves of a bookcase are positioned, they are parallel. Parallel lines are two or more lines that when drawn out infinitely long never intersect.
Step-by-step explanation:
Answer:
- -2^x
- (1/3)^x +5
- 3^(x +2) -3
- (1/2)^x -2
- 4^(x/3)
- 2^(x -3) +4
Step-by-step explanation:
In general, the transformation ...
g(x) = f(x -h) +k
translates f(x) right h units and up k units.
The transformation ...
g(x) = f(x/a)
stretches the graph horizontally by a factor of "a".
The transformation ...
g(x) = -f(x)
causes the graph to be reflected over the x-axis.
___
Applying the above, we have ...
f(x) = 2^x reflected over x is g(x) = -2^x
f(x) = (1/3)^x translated up 5 is g(x) = (1/3)^x +5
f(x) = 3^x translated by (-2, -3) is g(x) = 3^(x +2) -3
f(x) = (1/2)^x translated down 2 is g(x) = (1/2)^x -2
f(x) = 4^x stretched horizontally by a factor of 3 is g(x) = 4^(x/3)
f(x) = 2^x translated by (3, 4) is g(x) = 2^(x -3) +4
Answer:
Perimeter = 180
Area = 1080
Step-by-step explanation:
Perimeter is length of all sides added together. 30+78+72 = 180
Area is the length times the height/2 for a triangle. 30*72/2 = 1080
I hope this helped <3
Ive got a soulution
the number is 3 times the sum of its digits
45 is added=4+5=9so,a common numbers in 3rd and 9th table
9,18,27,36,45...
27+45=72
2+7=9
or
4+5=9
Answer:
Step-by-step explanation:
The formula for determining the length of an arc is expressed as
Length of arc = θ/360 × 2πr
Where
θ represents the central angle.
r represents the radius of the circle.
π is a constant whose value is 3.14
From the information given,
Radius, r = 7 inches
θ = pi/4
2π = 360 degrees
180 degrees = π radians
1 radian = 180/π
2.1 radians = 2.1 × 180/π = 120.38 degrees
Therefore,
Length of arc = 120.38/360 × 2 × 3.14 × 7
Length of arc = 14.7 inches rounded up to 1 decimal places
