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3 years ago

Identify this conic section. 16y = x^2

Mathematics

1 answer:

kiruha [24]3 years ago

7 0

ANSWER

A parabola.

EXPLANATION

The given conic is :

$16y = {x}^{2}$

This can be rewritten as:

${x}^{2} = 16y$

${x}^{2} = 4(4)y$

This is a parabola with the vertex at the origin.

The foci is (0,4)

Therefore the given conic section is a parabola that has an axis of symmetry parallel to the y-axis.

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The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day 333 people enter the park, the

liberstina [14]

Answer:

188 children and 145 adults were admitted in the park.

Step-by-step explanation:

Given:

The admission fee at an amusement park is $1.50 for children and $4 for adults.

Total $862 collected on a certain day when 333 people enter the park.

Now, to find the children and adults admitted in the park.

Let the number of children admitted be $x.$

And the the number of adults admitted be $y.$

So, the total people enter the park:

$x+y=333\\\\x=333-y\ \ \ ...(1)$

Thus, the total amount collected of the admission fee:

$1.50(x)+4(y)=862\\\\$

Substituting the value of $x$ from equation (1):

$1.50(333-y)+4(y)=862\\\\499.50-1.50y+4y=862\\\\499.50+2.50y=862\\\\Subtracting\ both\ sides\ by\ 499.50\ we\ get:\\\\2.50y=362.50\\\\Dividing\ both\ sides\ by\ 2.50\ we\ get:\\\\y=145.$

Thus, the number of adults = 145.

Now, to get the number of children by substituting the value of $y$ in equation (1) we get:

$x=333-y\\\\x=333-145\\\\x=188.$

Hence, the number of children = 188.

Therefore, 188 children and 145 adults were admitted in the park.

4 0

4 years ago

What's is the value of x?

Anton [14]

Answer:

40°

Step-by-step explanation:

The measure of the right angle is 90°.

The measures of the angles 10° and 2x add up to the measure of the right angle.

2x + 10° = 90°

2x = 80°

x = 40°

6 0

3 years ago

1 pint of water is greater then or less then 2 cups 4 fluid ounces

Fudgin [204]

There are 2 cups in 1 pint, but 2 cups plus 4 ounces would be greater than 1 pint.

Your answer: 1 pint is lesser than 2 cups and 4 ounces

7 0

4 years ago

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Vesna [10]

3. is an obtuse angle and has a measure of 165 degrees

4. is an acute angle and has a measure of 55

8 0

3 years ago

Please show me the steps of to do this DON"T GIVE ME THE ANSWER ASAP

kherson [118]

Answer:

Step-by-step explanation:

The number $a . 10^{-2}$ is 8 times greater than $b . 10^{-3}$

thus, $a . 10^{-2} = 8b. 10^{-3}$

multiply both sides by $10^{2}$

we get $a = 8b. 10^{-1} \\a = 0.8 b$

if we take a = 2.5 and b = 3.1 we get 2.5/3.1 = 0.8

then B is the answer

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3 years ago

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