Answer:
x² + 2x - 48
Step-by-step explanation:
Given
(x - 6)(x + 8)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x + 8) - 6(x + 8) ← distribute both parenthesis
= x² + 8x - 6x - 48 ← collect like terms
= x² + 2x - 48
side
Answer:
your answer depends on what sides are given.
For example, lets say that you now the lengths of two sides, these being 56 and 24. ( these are just random numbers BTW) to find the third you would add the two lengths that you know and then minus them from 180. So for the example i just typed you would do 56 + 24 first which equals 80, then would do 180-80 which equals 100.
To check your answer, you could do this:
DO THE ABOVE AGAIN CAREFULLY (lol I don't usually check so.. idk)
math is my worst subject so.... hope this helped you.
Answer:
Use the Pythagorean Theorem: a² + b² = c².
Step-by-step explanation:
For any given right triangle the sum of the measures of the sides squared is equal to the hypotenuse squared. The formula is call the Pythagorean Theorem and is written: a² + b² = c², where 'a' and 'b' are the legs of the triangle and 'c' is the hypotenuse.
Depending on which side of the triangle they give you, you can plug the other two side lengths into the equation to solve for the third.
b) 32 notes in 4 measures, 12 notes in 2 measures
Show work if you can please :)
The rates 28 points in 3 games and 112 points in 12 games form a proportion, while the rates 32 notes in 4 measures and 12 notes in 2 measures do not form a proportion.
To determine whether the given rates form a proportion, we need to check if the ratios are equivalent. a) We'll start with 28 points in 3 games vs 112 points in 12 games. The ratio 28/3 equals approximately 9.33, and the ratio 112/12 also equals approximately 9.33. Since these ratios are equal, these rates do form a proportion. b) Moving to 32 notes in 4 measures vs 12 notes in 2 measures. The ratio 32/4 equals 8, and the ratio 12/2 equals 6. Since these ratios are not equal, these rates do not form a proportion.
#SPJ12
2144.66 in3
7238.23 in3
9202.77 in3
The volume of the globe is 904.32in³
The volume of the globe will be calculated by using the volume of a sphere and this will be:
= 4/3πr³
where,
π = 3.142
r = Diameter/2 = 12/2 = 6
Therefore, since we've the values, then we can slot it back into the equation and this will be:
= 4/3πr³
= 4/3 × 3.142 × 6³
= 4/3 × 3.142 × 216
= 904.32in³
Therefore, based on the calculation above, the volume of the globe is 904.32in³.
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