Answer:
see explanation
Step-by-step explanation:
Given that the the difference of cubes is
a³ - b³ = (a - b)(a² + ab + b²)
Given
64 - 27 ← a difference of cubes
with a = 4x² and b = 3, thus
= (4x²)³ - 3³
= (4x² - 3)(16 + 12x² + 9) ← in factored form
Answer:
Step-by-step explanation:
The formula for this is
∠G = 1/2(arcEH - arcHF)
We have angle G (5x - 10) and we have arcEH (195) so we have to solve for x to find the measure of arcEHF so we can add arcEH + arcHF = arcEHF
Filling in the formula with what we have:
which simplifies down a bit to
which simplifies down a bit more to
Multiply both sides by 2 to get rid of the fraction and get:
2(5x - 10) = 178 - 8x which of course simplifies to
10x - 20 = 178 - 8x. Now add 8x to both sides and at the same time add 20 to both sides to get:
18x = 198 so
x = 11. Now we can find the measure of arcHF:
arcHF is 8x + 17, so arcHF is 8(11) + 17 which is 105°.
arcEH + arcHF = arcEHF so
195 + 105 = arcEHF so
arcEHF = 300°
Given:
The cost C (in dollars) to participate in a ski club is given by,
Where x is the number of ski trips we take.
To find:
The number of ski trips when a total cost of $315 and $485 is spent.
Explanation:
Substituting C = 315 in the given equation we get,
Substituting C = 485 in the given equation we get,
Thus,
If we spend a total cost of $315, we can take 3 ski trips.
If we spend a total cost of $485, we can take 5 ski trips.
Final answer:
• If we spend a total cost of $315, we can take 3 ski trips.
,• If we spend a total cost of $485, we can take 5 ski trips.