The sum of twice a number (x^2)
and 5 less than the number -5
is the same as =
the difference between 17 and the number 17-x
(x^2) - 5 = 17 - x
Answer:
20 1/6 ft
Step-by-step explanation:
The perimeter is the sum of the lengths of the sides:
2×(5 1/3 ft) + 2×(4 3/4 ft) = 10 2/3 ft + 8 6/4 ft
= 10 2/3 ft + 9 2/4 ft . . . . change 6/4 ft to 1 1/2 ft
= 10 8/12 ft + 9 6/12 ft = 19 14/12 ft . . . . . use common denominator of 1/12 ft
= 20 2/12 ft . . . . . . change 14/12 ft to 1 2/12 ft; next reduce that fraction
= 20 1/6 ft . . . . perimeter of Caleb's bathroom
Bunny Hill Ski
10x+35
Diamond Ski
5x+40
To find when both resorts cost the same prices set them equal to each other
10x+35= 5x+40
Minus 35 over
10x = 5x +5
Minus 5x over
5x = 5
X= 1
When x= 1 both of the resorts will cost the same price. You can check by substitute x with 1. Hope this helps!
Adding the parts in the ratio gives 18 so there are two triangles possible with perimeters less than 54cm where the side lengths are all integers: a 5, 6, 7 triangle or a 10, 12, 14 triangle.
Therefore the length of the longest side must be either 7cm or 14cm (unless you want to include non-integer side lengths, then it could also be 3.5cm, 1.75cm etc)
Answer:
7
Step-by-step explanation:
f(x) = 2^(x + 3)
Shifted 10 units to the right:
f(x) = 2^(x + 3 − 10)
f(x) = 2^(x − 7)
Therefore, k = 7.