All members of our painting team paint at the same rate. If $20$ members can paint a $6000$ square foot wall in $24$ minutes, th
2 answers:
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Response:
The loop's length is roughly 49.58 km.
Step-by-step details:
Given:
Duration to cycle the loop = 2 hours and 30 minutes
It is known that;
60 minutes = 1 hour
30 minutes = 0.5 hour
therefore, 2 hours and 30 minutes =
∴ Time to cycle the loop = 2.5 hours
Let 's' denote the cycling speed.
Denote the total loop distance as 'd'
From our understanding;
Distance equals speed times time.
Representing this as an equation we have;
Given:
If her speed increased by 1 km/hr, the time taken around the loop would decrease by 7 minutes.
As a result, we can say;
Speed =
The time then will be shortened by 7 minutes.
7 minutes = 0.12 hours
Consequently, time = 2.5 - 0.12 = 2.38
Again, Distance is calculated as speed times time.
This can be expressed with equations;
The distances are equivalent in both scenarios, thus we will determine speed by equating the equations.
So, Speed = 19.83 km/hr
Loop length (d) =
Therefore, the loop length is approximately 49.58 km.
Answer:
The correct option is:
On the coordinate plane, there is a parabola that opens upwards, passing through the points (2, 10), having its vertex at (5, 1), and intersecting (8, 10).
Step-by-step explanation:
Initially, we must understand the translation rules
1) {f(x) + a} signifies f(x) moved up by (a) units
2) {f(x) – a} means f(x) moved down by (a) units
3) {f(x + a)} represents f(x) moved left by (a) units.
4) {f(x – a)} indicates f(x) moved right by (a) units.
Given information:
f(x) = x²
g(x) = (x-5)² + 1
By comparing the transformation from f(x) to g(x) with the translation rules
It can be concluded that g(x) represents f(x) through a translation of 5 units to the right and 1 unit upwards (rules 1 and 4)
Refer to the attached image, which illustrates the graphs of both f(x) and g(x)
As depicted, g(x) intersects (2, 10), has a vertex at (5, 1), and crosses through (8, 10)
