The diagram is a "mapping diagram" that describes a function? The function pairs numbers from the set on the left with numbers from the set on the right. "Domain" refers to the numbfers on the left, where the arrows come FROM. (Some people describe this as a mapping of x to y, with x on the left and y on the right.) The answer is B.
Answer:
either 0 or 8, see the step by step for rationale pending the actual question
Step-by-step explanation:
two parallel lines will never intersect.
if it is mean to find the number of 90 degree angles of the two parallel lines and the perpendicular lines, the answer would be 8.
if two lines are perpendicular think of a + sign. there are four angles to make 360 degree so each must be 90 (and the definition of perpendicular).
since there are two parallel lines that intersection happens twice. so 8
Answer:
6.67in long and 4.67in wide
Step-by-step explanation:
Given the amp of the scale 1 inch = 3 mi?
If the measured length is 20miles
Let x be the dimension of the length on the map
1 inch = 3 mi?
x = 20miles
3x = 20
x = 20/3
x = 6.67in
For the width,
Width =14miles
Let y be the dimension of the width on the map
1 inch = 3 mi
y = 14miles
3y = 14
y = 14/3
y = 4.67in
Hence the Yellowstone Lake appears 6.67in long and 4.67in wide on the Map
Lim[x.sin(4π/x)] when x →∞. To apply the Hospital rule we need a fraction:
lim[x.sin(4π/x)] could be written:
lim [sin(4π/x)] / (1/x) . Now let's find the derivative of the numerator and the denominator:
Numerator = sin(4π/x) → (Numerator)' = cos(4π/x).(-4π/x²) [Chaine rule
(sinu)' = cosu. u'] So derivative of Numerator = cos(4π/x).(-4π/x²)
Denominator = 1/x → Numerator derivative = -1/x²
Now : (numerator)'/(denominator)' = cos(4π/x).(-4π/x²) / -1/x²
Simplify by x² : → cos(4π/x).(-4π) / -1
OR cos(4π/x).(4π) . When x→∞ , 4π/x → 0 and cos(0) = 1, then:
lim[x.sin(4π/x)] when x →∞. is 4π
I think its either 9 or 10
