3x^2 + 6x - 10 = 0
3(x^2 + 2x) - 10 = 0
3[ (x + 1)^2 - 1 ] - 10 = 0
3(x+1)^2 - 13 = 0
so the vertex is at (-1,-13)
the roots will be same distance from x = -1
that is a distance 1.08 --1 = 2.08
so other root is approximately -1 -2.08 = -3.08
the other intercept is at (-3.08,0)
The inscribed angle is always half of the central angle.
So 60÷2=30
Answer:
1. 7.1 cm
2. 10.9 cm
Step-by-step explanation:
1. You know the legs of a right triangle must be shorter than the hypotenuse. The only answer choice shorter than 8 cm is 7.1 cm.
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2. By the Law of Sines, ...
AB/AC = sin(ACB)/sin(B)
AB = AC·sin(72°)/sin(38°) = 1.545·AC
The approximate value of AC from problem 1 is sufficient to get you close to the answer.
AB ≈ 7.1×1.545 ≈ 10.9 . . . cm
Here is the simple answer of how far she gets in 1km, about 0.227 of a kilometer in one minute. If you were to convert kilometers into meters then it would be 227.8 meters in a minute.
9514 1404 393
Answer:
8
Step-by-step explanation:
The number of servings can be found by dividing the quantity available by the amount per serving.
(6 cups)/(3/4 cup/serving) = (6)(4/3) servings = 8 servings