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3 years ago

What is the equation of a parabola with a vertex at (-2, 0) and a directrix x = -4.

Mathematics

1 answer:

slava [35]3 years ago

5 0

Answer:

Step-by-step explanation:

This is a horizontal parabola opening to the right, with vertex at (-2,0) and directrix at x = -4 (which is to the left of the vertex). The general equation of such a parabola is 4p(x-h) = (y-k)^2, where p is the number of horizontal units between directrix and vertex; here this quantity is 2.

Substituting known values into the general equation, we get:

4(2)(x+2) = (y-0)^2, or 8(x+2) = y^2.

Check: does (-2,0) satisfy the above equation (as it must)? 8(-2+2) = 0^2 YES.

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The length and the breadth of a rectangular piece of land are 500m and 300m respectively. Find it’s area

katrin [286]

Area of a rectangle = Length x Breadth
The required area = 500 x 300
= 150000 m^2

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4 years ago

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Find the measure of angle A

Gre4nikov [31]

Answer:

21 degrees

Step-by-step explanation:

Triangles have a total angle of 180 degrees.

This makes our equation:

3x+3+4x+135=180

Subtract 135 from both sides and combine like terms

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Subtract 3 from both sides

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3 years ago

Need help asap!!!!!!

Mrac [35]

Answer: x=4

Step-by-step explanation: first you should write it out like it is telling you. put a line and EG is the line and f is in the middle of the two looks kinda like this E F G but they are on a line EG= 25 that means the whole thing equals 25. EF= 2x-6 and FG= 4x+7. when you plug that in it should look like this 25=2x-6+4x+7 then solve.

3 0

3 years ago

49767269 x 327686000 - 1029 + 1101 / 32

mars1129 [50]

Answer:

$16308037309533006\frac{13}{32}$

Step-by-step explanation:

49767269 × 327686000 - 1029 + $\frac{1101}{32}$

= 16308037309534000 - 1029 + $\frac{1101}{32}$

= 16308037309532972 + $34\frac{13}{32}$

= $16308037309533006\frac{13}{32}$

8 0

3 years ago

High school students across the nation compete in a financial capability challenge each year by taking a National Financial Capa

zalisa [80]

Answer:

The students have to score 0.74 standard deviations above the mean to be publicly recognized.

Step-by-step explanation:

A random variable X is said to have a normal distribution with parameters µ (mean) and σ² (variance).

If $X \sim N (\mu, \sigma^{2})$ , then $z=\frac{X-\mu}{\sigma}$ , is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, $Z \sim N (0, 1)$ .

The distribution of these z-scores is known as the standard normal distribution.

The z-score is a standardized form of the raw score, X. It is a numerical measurement of the relationship between a value (X) and the mean (µ) in terms of the standard deviation (σ). A z-score of -1 implies that the data value is 1 standard deviation below the mean. And a z-score of 1 implies that the data value is 1 standard deviation above the mean.

Let X be defined as the scores of students at the National Financial Capability Challenge Exam.

It is provided that the students who score in the top 23% are recognized publicly for their achievement by the Department of the Treasury.

That is, P (X > x) = 0.23.

⇒ $P(\frac{X-\mu}{\sigma}>\frac{x-\mu}{\sigma})=0.23$