1/4 times 16x is 4x
1/4 times 4 is 1
4x minus 9x is -5x
So, 1/4 (16x+4)-9x is -5x+1
-5 times x is -5x
-5 times 1 is -5
So,-5 (x+1) is -5x-5
Therefore they are not equivalent
Since they are right triangles use Pythagorean Theorem.
a^2 + b^2 = c^2 where c is the hypotenuse.
a. 12^2 + b^2 = 13^2
144 + b^2 = 169
subtract 144 from both sides
b^2 = 25
take the square root of both sides
t = 5 This is also know as a Pythagorean Triple 5-12-13
b. a^2 + 9^2 = 12^2
a^2 + 81 = 144
subtract 81 from both sides
a^2 = 63
take the square root of both sides
a = √63
a = √(9 * 7)
a = 3√7
c. 6^2 + 9^2 = c^2
36 + 81 = c^2
117 = c^2
take the square root of each side
c = √117
c = √(9*13)
x = 3√13
Answer: Brand A is the best buy.
Step-by-step explanation:
Brand A has a pack of 28 pencils for 5.29 dollars. This means that the unit cost of one pencil in Brand A would be
5.29/28 = 0.2$ per pencil rounded up to the nearest tenth.
Brand B has a pack of 48 pencils for 8.47 dollars. This means that the unit cost of one pencil in Brand B would be
8.47/48 = $0.8 per pencil rounded up to the nearest tenth.
Since $0.2 is lesser than $0.8, it means that Brand A is the best buy.
Answer:
Step-by-step explanation:
Subtract 3 from both sides:
Add x to both sides:
Divide 7 on both sides:
Answer:
Step-by-step explanation: