Answer:
1. 1.5 inches per minute
2. 90 inches per hour
Step-by-step explanation:
speed = 
1. total distance covered = 
+ 
= 
= 
= 4
inches
Total time taken = 
+ 
= 
= 
= 3 minutes
The ants average speed = 
= 1
= 1.5
The ants speed is 1 inches per minute.
2. Since;
60 minutes = 1 hour
3 minutes = x hours
x = 
= 
= 0.05 hours
Speed = 
= 90 inches per hour
The red ants speed is 90 inches per hour.
Step-by-step explanation:
A portion of the Quadratic Formula proof is shown. Fill in the missing statement. Statements Reasons x² + x + b 4ac 4a? b? 4a² Find a common denominator on the right side of the equation a 2a X? + b 2a b? =4ac 4a? Add the fractions together on the right side of the equation a b2 - 4ac x+ Rewrite the perfect square trinomial on the left side of the equation as a binomial squared 2a 4a 2 Take the square root of both sides of the equation Vb -4ac x+ b 2a + 4a b - 4ас X + 2a + 4a 4ac + 2a 4a 1o ano 4a
So we are given two points that the line crosses, the origin and (9, -3), we can calculate the slope m of the line with these data, dividing the y segment by the x segment:
m = (-3 - 0)/(9 - 0) = -3/9
m = -1/3
then we can use the point slope line equation to find the line equation, lets use the point origin (0,0) to do so:
y - y1 = m(x - x1), where x1, y1 are the coordinates of a point that the line crosses:
y - 0 = (-1/3)(x - 0)
y = <span>(-1/3)x
so this is the equation of the line, slope -1/3 and y intercept 0</span>
Answer:
162
Step-by-step explanation:
Since the ratio is 3, the terms are 3 times the term before.
So the answer is 2*3^4 = 162
