MATHEMATICS HIGH SCHOOL

The coordinates of the focus of the parabola −0.25x2 = y − 2 are:A. (0, 6) B. (0, 1)C. (0, −2)D. (0, 3 )

Answers

Answer 1

Answer:

Answer:

Option B is right.

Step-by-step explanation:

given is an equation of a parabola

$-0.25x^2 =y-2\ny=-0.25x^2 +2$

$-x^2 =4y-8$

Vertex is (0,2)

It is open down.

Axis of symmetry is x=0 or y axis

Hence focus will lie on axis of symmetry ie y axis.

THe parabola has -4a = -4

Hence a = 1

SO focus will lie inside the parabola on axis of symmetry with a distance of a units from the vertex.

i.e. focus would equal = (0,2-1) = (0,1)

Option B is right

Answer 2

Answer: The equation is $-0.25x^2-x+2=0$
The coordinates are $((-b)/(2a);(-\Delta)/(4a))$
$\Delta=b^2-4ac=1+2=3$
The coordinates, thus, are $((1)/(-0.5);(-1)/(-1))=(-2;1)$

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What's the answer to: divide £48 in the ratio 7:5 (please show your working, much appreciated)

Answers

I can see you come from outside the USA. No insults intended!!
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Anyways, we have to put one side of the ratio and match it to 48.
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Or even better...
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MAKE!!
A!!
PROPORTION!!
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So... Let's say 7 is proportional to 48... so 7/5 = 48/x, where x is the number equivalent to ratio of 5.
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Cross multiply!!
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7x = 240.
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Divide 7 on both sides.
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x = 34 2/7.
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Hope I helped!!

Write the most precise name for the space figure with the given properties. A lateral surface and two circular bases?

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The figure would be a cylinder, which is two circular bases connected by a lateral side.

That would be a cylinder. c;

Solve for the inequality:
|2x-6|<0
(Please help me)

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Never because absolute value will always be positive. Brainliest?

I NEED HELP PLZZZZZ

Answers

Answer:

Step-by-step explanation:

You can just pull out a blank graph and plot your answers on there!

A key code must contain 6 numerals. There are 10 numerals available. Using these numerals, how many different key codes may be created?

Answers

To solve, you will raise the number of numerals available (10) to the number of numerals required for each key code (6): 10 ^ 6. This will give you the total number of possible combinations. When raising 10 to a number, you simply put as many zeros as the number of the exponent: 1,000,000

The numbers 2, 3, 4, and 5 are indicated on cards that are placed in a hat.Two cards are drawn at random, and the first card is replaced before the second card is drawn. The following table is a sample space of the possible outcomes.
Use the sample space of possible outcomes to determine the following probabilities.
1. Probability of drawing two odd numbers.
2. The sum of the two numbers drawn is less than 5.
3. The sum of the two numbers is less than 6 or greater than 8.

Answers

1. This probability is 1/2*1/2=1/4, or 0.25.
2. There are three ways to do this: draw two 2s, a three then a two, or a two then a three. So our probability is 3/16=.1875.
3. We already calculated the probability that the sum is less than 6. Using similar methods, we calculate that there are three ways for a sum to be greater than 8, so our probability is 6/16=0.375.

Answer:

1. 1/4

2. 1/16

3. 3/8

Step-by-step explanation:

1. 1/2 x 1/2, 1/4

2. (2,2) is the only way to have a sum less than 5, so 1/16

3. 3 ways to be less than 6 and 3 ways to be greater than 8, so 6/16 or 3/8

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