Since no base is stated, assume base 10
remember
loga-logb=log(a/b)
also
translates to
and log(a^z)=zlog(a)
log25x-log5=2 means
translates to
simplies to
translates to
expands to
100=5x
divide both sides by 5
20=x
Tomas should be 10
If his grandfather is 100, then divide 100 by 10 and you will get Tomas's age.
Please correct me if I'm wrong.
Answer:
The answer is: 1. 5 minutes and 2. 133.3 meters
Step-by-step explanation:
To find how long it takes the cyclist to travel 2km at 24km / hour, set up the equation and cross multiply:
2 / 24 = x / 1
24x = 2
x = 2/24 = 1/12 of an hour or 60 / 12 = 5 Minutes.
To find how far he travels in 20 seconds:
Multiply 24 km by 1000 to get meters per hour. Divide by 3600 to get meters per second:
24000 / 3600 = 6.6 meters per second.
Multiply by 20 seconds to get the distance traveled in 20 seconds:
6.6 * 20 = 133.3
Given two points (x₁,y₁) and (x₂,y₂)the slope passes through these points will be:
m=(y₂-y₁)/(x₂-x₁)
In this case the slope will be:
(7,-8)
(-4,6)
m=(6+8)/(-4-7)=14/-11=-14/11
point-slope form of a line: we need a point (x₀,y₀) and the slope (m).
y-y₀=m(x-x₀)
In this case, we know the slope (m=-14/11), and we can choose either of two points. The line will be the same.
(-4,6)
m=-14/11
y-y₀=m(x-x₀)
y-6=-14/11(x+4) ⇒ (point-slope form)
<span>Answer: D. y-6=-14/11(x+4)</span>
Answer:
2, 16
Step-by-step explanation:
