4(k-2) when it says 2 less than it means you are subtracting from the constant and 4 times means you are multiplying the whole equation with 4.
Answer:
a) 
b) -14
c) -3
d) -96
Step-by-step explanation:
a) The parenthesis indicate multiplication.
b) Minus and plus gives subtraction, and the sign you put behind the number is the sign of the largest number you have (in this case it's 21 since we ignore the -)
c) They already have common denominators, all that's left is to do 
d) The parenthesis indicate multiplication.
Good luck!
Total Weight = Weight of the book + Weight of the CD + Weight of the box
Total Weight = 1 1/4 pound + 1/5 pound + 3/10 pound
Total Weight = 5/4 + 1/5 + 3/10
To add these fractions, you need to put them over a common denominator. To do that, find the least common multiple of 4, 5, and 10. Below is a table of the multiples. The least multiple they have in common is 20, shown in orange. So use 20 as your least common denominator.
1 2 3 4 5 6 7
4 x 4 8 12 16 20 24 ...
5 x 5 10 15 20 25 30 ...
10 x 10 20 30 40 50 60 ...
Can you finish it from here?
Answer:
x = 15°
Step-by-step explanation:
The secant- tangent angle x is half the difference of the intercepted arcs, that is
x = 
(80 - 50)° = 0.5 × 30° = 15°
Answer:
13 feet long
Step-by-step explanation:
This situation forms a right triangle, where the ladder is the hypotenuse, the distance away from the building is the short leg, and the height to the side of the building is the long leg.
Use the pythagorean theorem, and solve for c, the hypotenuse:
a² + b² = c²
5² + 12² = c²
25 + 144 = c²
169 = c²
13 = c
So, the ladder is 13 feet long
