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Effectus [21]
2 years ago
11

Which is the standard form of the equation of the parabola that has a vertex of (-4,-3) and a directrix of x = 2?

Mathematics
1 answer:
maxonik [38]2 years ago
6 0

Answer:

C.

Step-by-step explanation:

i took the test

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In the fruit bowl the ratio of apples, bananas, and pears is 4.2, 5. If the total
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Answer:

5:11

Step-by-step explanation:

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Point E is between points D and F. If DE = x - 4 , EF = 2x + 5 , and DF = 4x- 8 , find x
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You know that 
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(x-4) + (2x+5) = (4x-8)


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3 years ago
An urn contains two black balls and three red balls. If two different balls are successively removed, what is the probability th
lidiya [134]

You can extract two balls of the same colour in two different way: either you pick two black balls or two red balls. Let's write the probabilities of each pick in each case.

Case 1: two black balls

The probability of picking the first black ball is 2/5, because there are two black balls, and 5 balls in total in the urn.

The probability of picking the second black ball is 1/4, because there is one black ball remaining in the urn, and 4 balls in total (we just picked the other black one!)

So, the probability of picking two black balls is

P(\text{two blacks}) = \dfrac{2}{5} \cdot \dfrac{1}{4} = \dfrac{2}{20} = \dfrac{1}{10}

Case 2: two red balls

The probability of picking the first black ball is 3/5, because there are three red balls, and 5 balls in total in the urn.

The probability of picking the second red ball is 2/4=1/2, because there are two red balls remaining in the urn, and 4 balls in total (we just picked the other red one!)

So, the probability of picking two red balls is

P(\text{two reds}) = \dfrac{3}{5} \cdot \dfrac{1}{2} = \dfrac{3}{10}

Finally, the probability of picking two balls of the same colour is

P(\text{same colour}) = P(\text{two blacks})+ P(\text{two reds}) = \dfrac{1}{10} + \dfrac{3}{10} = \dfrac{4}{10} = \dfrac{2}{5}

7 0
2 years ago
Determine the number and type of complex solutions and possible real solutions for each of the following equations.   1) 2x2 + 5
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2) 4*3-12x+9 = 0 yup
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