The rate for 18:4 divided by 2:2 would be 9:2. This is because 18 divided by 2 is 9 and 4 divided by 2 is 2. The unit rate for 9:2 is 4.5:1. This is because you must divide 2 by 2 in order to get 1, and what you do to the second part you must do to the first part. 9 divided by 2 is 4.5.
Answer:
3, 6, 9, 12 is not geometric
Step-by-step explanation:
A geometric progression has a common ratio r between consecutive terms.
3, 6, 9 , 12
has a common difference of 3 between terms and is arithmetic
1, 5, 25, 125
r = 5 ÷ 1 = 25 ÷ 5 = 125 ÷ 25 = 5 ← geometric
4, 8, 16, 32
r = 8 ÷ 4 = 16 ÷ 8 = 32 ÷ 16 = 2 ← geometric
2, 6, 18, 54
r = 6 ÷ 2 = 18 ÷ 6 = 54 ÷ 18 = 3 ← geometric
Answer:
Step-by-step explanation:
The discriminant is what's under the square root sign in the quadratic equation. The equation for the discriminant is , where b is the coefficient of x, a is the coefficient of , and c is the number with no variable attatched to it. If we plug in the numbers () it gives you 241, which is the discriminant. Since 241 is more than zero, it has 2 zeros. If the discriminant was 0, there'd be 1 zero, and less then zero there would be zero zeros.
Answer:
6. 135°
7. 135°
Step-by-step explanation:
You have to assume that the figure is a regular octagon, so has central angles equal to exterior angles equal to 45°.
6. A regular anything is circumscribed by a circle, so the measure of any inscribed angle is half the measure of the corresponding central angle. That is, ∠BET =∠TBA = (45°)/2, so their sum is 45°. ∠BOT is the supplement of that, 180° - 45° = 135°.
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7. ∠GIT + ∠ITS is the same measure as one internal angle of the octagon. That is the supplement of the exterior angle we identified above as being 45°.
∠GIT + ∠ITS = 135°