Answer:
1) A
2) B
Step-by-step explanation:
For this problem we use exponential growth formulas
if the population increases when t increases
If the population decreases when t increases
Where and is the population as a function of time, 
is the initial population, r is the growth rate, t is the time in years.
1) In this situation we have that 
, the growth is 2.4%, then 
and 
and the equation is:
-------- Option A)
2) In this situation we have that 
, the decrease is 1.7%, then 
and 
and the equation is:
-------- Option B)
Answer:
15cm by 20cm by 25cm
Step-by-step explanation:
Let the sides of the right angle be x, y and h
x is the breadth
y is the height
h is the hypotenuse
Perimeter = x + y + h
x + y +h = 60
x+y = 60-h .... 1
If its area is equal to 150 square cm, then;
Area = 1/2 * base * height
Area = 1/2 *x * y
xy/2 = 150
xy = 300 ....2
According to pythagoras theorem;
x² + y² = h²
On expanding x² + y²
x² + y² = (x+y)² - 2xy
The equation becomes
(x+y)² - 2xy = h² ... 3
Substitute equation 1 and 2 into 3;
From 3;
(x+y)² - 2xy = h² ... 3
(60-h)² - 2(300) = h²
3600-120h + h² - 600 = h²
3600-120h - 600 = 0
-120h = 600-3600
-120h = -3000
h = 3000/120
h = 25cm
Recall that x+y+h = 60
x+y+25 = 60
x+y = 60 - 25
x+y = 35 ... 4
From equation 2;
xy = 300
x = 300/y ..... 5
Substitute 5 into 4;
300/y + y = 35
(300+y²)/y = 35
300+y² = 35y
y²-35y + 300 = 0
y²-20y-15y + 300 = 0
y(y-20)-15(y-20) = 0
y-20 = 0 and y - 15 =0
y = 20 and 15
since x+y = 35
x + 20 = 35
x = 35 - 20
x = 15
Hence the sides of the triangle are 15cm by 20cm by 25cm
Answer:
idk
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Finding the distance, midpoint, slope, equation and the x y-intercepts of a line passing between the two points p1 (7,6) and p2 (2,6)
The distance (d) between two points (x1,y1) and (x2,y2) is given by the formula
d= √((X2-X1)2+(Y2-Y1)2)
d = √(2-7)2+(6-6)2
d = √((-5)2+(0)2)
d= √(25+0)
d = √25
The distance between the points is 5
