Answer:
4√2 and 5+4√2
Step-by-step explanation:
Let the two numbers be x ad y
Smaller = y
Bigger = x
If a positive real number is 5 more than another, then;
x = 5 + y ... 1
When - 10 times the smaller is added to the square of the larger, the result is 57, then;
-10y + x² = 57 ...2
Substitute 1 into 2;
-10y + (5+y)² = 57
-10y + 25+10y+y² = 57
y²+25 = 57
y² = 57 - 25
y² = 32
y = √32
y = 4√2
Since x = 5 + y
x = 5 + 4√2
Hence rhe numbers are 4√2 and 5+4√2
The actual distance between Yappy city and Quiet city when it is 23 cm in map is 9.2 miles.
What is scaling ?
It is the technique to resize drawing with comparing to actual size of object which uses proportion or ratio. For example, Mapping of earth, drawing prototype of automobiles.
It is given that :
The distance on the map between Yappy city and Quiet city is 23 cm
and,
5cm = 2 miles
now, for 1 cm on map it is equal to 2/5 miles of actual distance.
Therefore to find the actual distance of 23 cm in map we simply multiply 23 with 2/5 :
actual distance :
2/5 x 23 = 9.2 miles
Therefore, the actual distance between Yappy city and Quiet city is 9.2 miles.
Read more about ratio at:
brainly.com/question/17869111
#SPJ1
Acres of planted corn = (2/7) * (4/5)
= (2/7) * .8 = 1.6 / 7 acres = 0.2285714286 acres
1 2/5 + 3 1/2
= 7/5 + 7/2
= ((7x2)+(7x5))/(5x2)
=(14+35)/10
=49/10
=4 9/10
Answer:
x =0
Step-by-step explanation:
4+5e^x+2 =11
Combine like terms
6 + 5e^x =11
Subtract 6 from each side
6-6 + 5e^x =11-6
5 e^x = 5
Divide by 5 on each side
5 e^x /5 = 5/5
e^x = 1
Take the natural log on each side
ln (e^x) = ln(1)
x = ln(1)
x =0
