Answer:
the answer is undefined
Step-by-step explanation:
If a function, f(x), is continuous (that is, has values for every x in the interval) from x=- 1 to x=1 ), then the average rate of change is:( total amount that f(x) changes ) / (total amount that x changes)( f(1) - f(-1) ) / ( (1) - (-1) )( f(1) - f(-1) ) / 2The variable x changes from (-1) to (1). That value is 2. [note: (1)-(-1) ]The function changes from f(-1) to f(1). You must determine f(1)-f(-1) and use that value as the numerator.Fill in the values to determine the average rate of change: ( f(1) - f(-1) ) / 2However, if the plot of y values is not a function, and there is some x value between -1 and 1 for which f(x) is undefined, then the rate of change of y from f(-1) to f(1) is also undefined.
Diagonals of rhombus are perpendicular
area is (1/2)*d1 * d2 where d1 and d2 are the diagonal lengths
draw the diagonals on your rhombus and you will see a 30-60-90 triangle and then figure
sides will be 6 , 6√3 . 12
so d1 is 2*6 = 12
and d2 is 2*6√3 = 12√3
and area = (1/2)*12*12√3
= 72√3 square cm.
Answer:
<u>1. Using the Pythagorean theorem.</u>
<u>2. Using the ratio 1 : 1 : √2.</u>
Step-by-step explanation:
There are two options to find the value of x:
1. Using the Pythagorean theorem:
Hypotenuse = 5√2 inches and legs are equal in a 90 - 45 - 45 triangle like this.
Hypotenuse² = Leg² + Leg²
(5√2)² = 2Leg²
50 = 2Leg²
50/2 = Leg²
Leg² = 25
√Leg² = √25
Leg = 5 inches ⇒ x = 5
2. Using the ratio 1 : 1 : √2, this way:
1 : 1 : √2
x : x : 5√2
x = 5√2/√2
x = 5 and let's recall that in a 90 - 45 - 45 triangle legs are equal, therefore. ratio is:
5 : 5 : 5√2
F(1)=(0)(-1)=0
f(2)=(1)(0)=0
f(3)=(2)(1)=2
f(4)=(3)(2)=6
If you write
, you'll notice this is really just a quadratic equation that can be factorized:
So you have
and