Area = (1/2) * 4 * 5 = 10 cm²
Answer:
25 yards
Step-by-step explanation:
A parallelogram is a quadrilateral (a four sided object) with parallel sides
Some of the characteristics of a parallelogram includes :
- Opposite sides and angles are congruent .
- Opposite angels are congruent (D = B).
- Consecutive angles are supplementary (A + D = 180°).
- The diagonals bisect each other
Area of a parallelogram = base x height
Area = 525
base = 21 yards
height = ?
525 = 21 x height
divide both sides of the equation by 21 to find the value of the height
525 / 21 = height
height = 25 yards
None of the answers are correct in this question
Answer:
the function is continuous from the left at x=1 and continuous from the right at x=0
Step-by-step explanation:
a function is continuous from the right , when
when x→a⁺ lim f(x)=f(a)
and from the left when
when x→a⁻ lim f(x)=f(a)
then since the functions presented are continuous , we have to look for discontinuities only when the functions change
for x=0
when x→0⁺ lim f(x)=lim e^x = e^0 = 1
when x→0⁻ lim f(x)=lim (x+4) = (0+4) = 4
then since f(0) = e^0=1 , the function is continuous from the right at x=0
for x=1
when x→1⁺ lim f(x)=lim (8-x) = (8-0) = 8
when x→1⁻ lim f(x)=lim e^x = e^1 = e
then since f(1) = e^1=e , the function is continuous from the left at x=1
Answer: A horizontal translation 2 units to the left
In this case, we are changing the variable x before it is being squared. This will have the effect of changing the input of the function. Imagine input 2 into the equation. Your first step would be to add 2. Therefore, you would need to start with a negative 2 to get us back to 0, or the beginning.
Since -2 is to the left of 0, the graph is moving 2 units to the left.
