Answer:
T(h) = 20 - 3h
Step-by-step explanation:
We are told that for every km you go up, the temp goes down 3°.
Let's say you go up 1km, then the temp should be 17°. We can easily represent it by the equation: T(h) = 20 - 3h
If we go up 1km: T(1) = 20 - 3*(1) = 20 - 3 = 17°
If we go up 2km: T(2) = 20 - 3*(2) = 20 - 6 = 14°
If we go up 3km: T(3) = 20 - 3*(3) = 20 - 9 = 11°
Dimensions of rectangle = 12 + x and 14 + x
(12 + x) (14 + x) = 288
x^2 + 26x + 168 = 288
x^2 + 26x - 120 = 0
(x + 30) (x - 4) = 0
x=-30, x =4
since 4 is positive
the dimensions increased by 4 feet
check the answer
12+4 = 16
14 +4 = 18
18*16 =288
Answer:
Longest side = 13 inches
Step-by-step explanation:
Perimeter of triangle = 30 inches
x + 4x - 8 + 2x +3 = 30
x + 4x + 2x - 8 + 3 = 30
7x - 5 = 30
7x = 30 + 5
7x = 35
x = 35/7
x = 5
Longest side is the hypotenuse.
Longest side = 2x + 3 = 2*5 + 3 = 10 + 3 = 13 inches
Answer:
55 square miles
Step-by-step explanation:
A=7*10/2+10*4/2
=35+20
=55
In total it has 20 marbles with the remainder of 9 marbles