Answer:
Since this means f of g so I will get the function g(x) and replace it with X in the function of f (x)
Answer:
A. 3.0 m/s
Step-by-step explanation:
Based on the graph,
velocity = Area of the graph
(y : position and x : time)
Let y1 = 2m and y2 = 14m,
t1 = 0s and t2 = 4s
v = (14 - 2)m/(4-0)s
= 12m/4s
= 3.0 m/s
Answer:
A. 162 m²
Step-by-step explanation:
==>Given:
Isosceles trapezoid with:
base a = 19m
base b = 35m
Perimeter = 74meters
==>Required:
Area of trapezoid
==>Solution:
Recall: the length of the legs of an isosceles trapezoid are equal.
Perimeter of isosceles trapezoid = sum of the parallel sides + 2(length of a leg of the trapezoid)
Let l = leg of trapezoid.
Perimeter = 74m
Sum of parallel sides = a+b = 19+35 = 54m
Thus,
74 = 54 + 2(l)
74 - 54 = 2(l)
20 = 2(l)
l = 20/2 = 10m
Let's find area:
Area = ½(a+b)*h
a = 19
b = 35
h = ?
Using Pythagorean theorem, let's find h as follows:
h² = l² - [(35-19)/2)²
h² = 10² - [16/2]²
h² = 100 - 64
h² = 36
h = √36 = 6m
Area = ½ x (a+b) × h
= ½ × (19+35) × 6
= ½ × 54 × 6
= 27 × 6
Area = 162m²
Answer:
1,58,18,400
Step-by-step explanation:
1st digit can have the values 1-9 (9 distinct values)
2nd digit can have the values 0-9 (10 distinct values)
3rd digit can have the values 0-9 (10 distinct values)
1st letter can have the value A-Z (26 distinct values)
2nd letter can have the value A-Z (26 distinct values)
3rd letter can have the value A-Z (26 distinct values)
Total number of different plates possible = 9*10*10*26*26*26
=1,58,18,400
Subsitution
solve for y in first equation
add 2x to both sides
y=2x+8
sub 2x+8 for y in second equation
16+4x=2(2x+8)
divide both sides by 2
8+2x=2x+8
true
there are infinite solutions for x
therefor infinite soltions for y
there are an infinite number of solutions
