Answer:
a = 2
b = 5
Step-by-step explanation:
Given :
(ar^b)^4 = 16r^20 ; a and b are positive integers :
Opening the bracket :
a^4r^4b = 16r^20
a^4 = 16 - - - - - (1)
r^4b = r^20 - - - (2)
a^4 = 16
Take the 4th root of both sides :
(a^4)^(1/4) = 16^1/4
a = 2
From (2)
r^4b = r^20
4b = 20
Divide both sides by 4
4b/4 = 20/4
b = 5
Hence ;
a = 2
b = 5
There is no box and whisker plot, therefore, I can't help you.
given 2x + 3y = 6
We can find the intercepts, that is where the graph crosses the x and y axes
• let x = 0, in the equation for y-intercept
• let y = 0, in the equation for x-intercept
x = 0 : 3y = 6 ⇒ y = 2 ⇒ (0, 2) ← y-intercept
y = 0 : 2x = 6 ⇒ x = 3 ⇒ (3, 0) ← x -intercept
Expressing the equation in slope- intercept form
y = mx + c ( m is the slope and c the y-intercept )
3y = - 2x + 6 ( divide all terms by 3 )
y = - x + 2
m is negative indicating the graph slopes down from left to right
The graph sloping down from left to right , crossing the x-axis at (3, 0) and the y-axis at (0, 2) is the graph which models the given equation.
Answer:
49.92 miles/hour
Step-by-step explanation:
32 miles/hour = 32 * 5280 = 168960 ft/hour
For the collision to occur, both cars must arrive at the intersection at the same time.
The time it takes for the Mercedes to travel 400 feet at the rate of 168960 ft/hour is 400 / 168960 = 0.002367 hours
So the Ferrari should take the same time to travel 624 feet as well, its speed would be
624 / 0.002367 = 263577.6 ft/hour or 263577.6 / 5280 = 49.92 miles/hour
Answer: 500m
Explanation:
If the scale of the drawing is 1:500 then the real playground should be 500:1 which is 500m