Answer:
The distance is
or
.
Step-by-step explanation:
Slope of parallel: 2
Slope of perpendicular: -1/2
Pick a point for y =2x + 7. For example (0,7)
Use the perpendicular slope to get to the other line to find the other point of y=2x-3. Look at the screenshot...I got (4,5).
Distance formula 
Insert (0,7) and (4,5)
= 
Use the pythagorean theorem:
EF² +DF²=DE²
EF²=18²-12²=180
EF=√180
E is the answer.
Answer:
80000
Step-by-step explanation:
you multiply 2000x40 and get 80000 or you can do 8x10^4
15 pounds of peanuts cost 45 dollars
how much does 1 pound of peanuts cost
ok
15 times (cost per pound)=45
represent cost per pound with 'w'
15 times w=45
15w=45
divide both sides by 15
w=45/15
w=3
cost is $3 per pound
Given,
A linear function consisting of 2 terms, one is dependent on time and the other one is independent of time, i.e.,
A = -2.3t - 7
The dependent term -2.3 indicates that the altitude of Mr Mole decreases by 2.3 meters every minute.
At t = 0, A = -2.3(0) - 7 = 0 - 7 = -7. (Negative sign indicates the value is below the ground level of 0 meter.
The constant term - 7 is the altitude at t = 0, because at t = 0
Thus, Mr. Mole's burrow lie 7 meters below the ground.