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3 years ago

1. find the difference 7 1/4 - 3 1/2 =

Mathematics

1 answer:

zepelin [54]3 years ago

6 0

1) 3 3/4

2) 1/4

3) 3 23/24

4) 1 1/6

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Derive the equation of the parabola with a focus at (0, −4) and a directrix of y = 4.

CaHeK987 [17]

<u>Answer:</u>

$y=-\frac{1}{16} x^2$

<u>Step-by-step explanation:</u>

Equation of parabola with focus at (0,-4) and directrix is $y=4$ .

We know that parabola is the locus of all the points such that the distance from fixed point on the parabola to fixed line directrix is the same.

The parabola is opening downwards.

Let any point on parabola is (x,y).

Distance from focus(0,-4) to (x,y) = $\sqrt{(x-0)^2+(y-(-4))^2}=|y-4|$

$\sqrt{(x-0)^2+(y-+4)^2}=|y-4|$

$(x-0)^2+(y+4)^2=(y-4)^2$

$(x)^2+(y+4)^2=(y-4)^2$

$x^2+(y^2+4y+4y+16)=y^2-4y-4y+16$

$x^2+y^2+8y+16=y^2-8y+16$

$x^2+16y^2=0$

$16y=-x^2$

$y=-\frac{1}{16} x^2$

6 0

2 years ago

A group of 6 students was asked, "How many hours did you watch television last week?" Here are their responses: 19, 9, 18, 16, 1

Anton [14]

Answer:

Mean = 15.83 hours

Median = 17 hours

Step-by-step explanation:

The first step to follow when dealing with data distributions is to arrange the data in either an ascending or descending order.

Once this is done, we have the responses as

responses: 9. 14, 16, 18, 19, 19

The mean of the distribution can be obtained by dividing the total sum of the values, by the number of respondents.

this is $9 +14 + 19 + 18 + 16 + 14 + 19/ 6= 95/6 = 15.83$

The mean of the distribution is 15.83 hours

The median is obtained by picking out the middle number of the distribution. However, our distribution is even, and hence has two middle numbers. To solve this , we simply add the two numbers and divide by 2

= (16 + 18 )/2 = 34/2 = 17

4 0

3 years ago

Read 2 more answers

Please Help! Will mark Brainliest! Thank you kind people!

timurjin [86]

Answer:

( -1 , 2 )

Step-by-step explanation:

4 0

3 years ago

Amy has a 55” television with a width of 72 cm and a height of 52 cm. Write two equivalent expressions for the area of her telev

Evgesh-ka [11]

Area = Length x width.

1st equation: Area = 72 x 52

2nd equation: Using distributive property by rewriting 52 as a sum of two numbers. 30 + 22 = 52

So now we get the second equation of: 72(30+22)

3 0

3 years ago

Evaluate a + b for a = 2 and b = 3.

Misha Larkins [42]

For this case we have the following expression:

$a + b$

We must evaluate the expression to:

$a = 2\\b = 3$

Substituting the values in the expression we have:

$2 + 3$

Equal signs are added and the same sign is placed.

So:

$2 + 3 = 5$

Finally, the value of the expression is 5.

Answer:

$a + b = 5$ for $a = 2$ and $b = 3$

3 0

3 years ago