All categories

2 years ago

Which is the equation of a parabola with vertex (0, 0), that opens to the left and has a focal width of 12?

Mathematics

2 answers:

sattari [20]2 years ago

6 0

Answer:

$\text{Equation of parabola is }y^2=-12x$

Step-by-step explanation:

We need to find the equation of parabola using given information

Vertex: (0,0)
Open to the left
Focal width = 12

If parabola open left and passes through origin then equation is

$y^2=-4ax$

Focal width = 12

Focal width passes through focus and focus is mid point of focal width.

Focus of above parabola would be (-a,0)

Passing point on parabola (-a,6) and (-a,-6)

Now we put passing point into equation and solve for a

$6^2=-4a(-a)$

$a=\pm 3$

a can't be negative.

Therefore, a=3

Focus: (-3,0)

Equation of parabola:

$y^2=-12x$

Please see the attachment of parabola.

$\text{Thus, Equation of parabola is }y^2=-12x$

OlgaM077 [116]2 years ago

3 0

Answer: B

Equation of parabola is y^2=-12x

You might be interested in

Matt Adams is the best player in his college baseball team. In his last few games, Matt has hit 70%, 77% 81% and 88% of balls th

Ksivusya [100]

79 is the answer ........

6 0

2 years ago

Read 2 more answers

Evaluate 4(a2 + 2b) - 2b

iogann1982 [59]

<span>4(a^2 + 2b) - 2b
= 4a^2 + 8b - 2b
=</span> 4a^2 + 6b

5 0

2 years ago

An albatross is a large bird that can fly 400 kilometers in 8 hours at a constant speed. Using d for distance in kilometers and

uranmaximum [27]

We are given relation between distance( in kilometers) travelled and number of hours taken by an Albatross bird.

Distance in kilometers taken by variable d.

Number of hours by t.

And situation is given d=50t.

We know, direct relation formula y= kx read as y is directly proportional to x. And k is the constants of proportionality.

In the given fuction y is taken by variable d and x is taken by variable t.

If we compare d=50t by y = mx, the value of k is 50.

Therefore, constant of proportionality is 50.

Constant is a number that never change it's value.

Therefore, constant of proportionality is just 50.

But we can say variables d and t are two variables those are directly proportional to each other.

Constant of proportionality is actually unit rate of change.

For the given situation constant of proportionality is the number of km travelled in per unit time (in 1 hour.)

If we divide 400km 8 hours, we get 400/8 = 50 km per hour.

Therefore, variables of proporation are d and t and relation between them is " they are directly proportional to each other".

And the constants of proportionality is just 50.

7 0

2 years ago

Grades 3, 4, and 5 have their annual field day together. Each grade level is given 16 gallons of water.

sineoko [7]

Answer:

Their will be enough water for each student to consume 2 cups of water.

Step-by-step explanation:

Grade 3, 4 and 5 have their annual field day together . Each grade level is given 16 gallons of water. This means the three grades have 16 × 3 = 48 gallons of water.

The total students involved is 350 student. The total student is the sum of the student in all three grades.

Since the water will be distributed to the students in cups let us convert gallons to cups.

1 gallons = 16 cups

48 gallons = ? cups

cross multiply

48 × 16 = 768 cups.

768 cups of water is available to be shared among the 350 students.

1 student is entitled to 2 cups of water.

350 students will consume 350 × 2 = 700 cups of water.

Therefore, their will be enough water for each student to consume 2 cups of water.

6 0

2 years ago

3. Atile warehouse has Inventory at hand and can put in for a

Nookie1986 [14]

Step-by-step explanation:

Given the equation that represents this order expressed as;

The number of tiles = 12b + 38 where;

b is the the number of bundles ordered

If a customer needs 150 tiles, the total number of bundles ordered can be gotten by simply substituting The number of tiles into the modeled equation and find the value of b. This is as shown below;

On substituting;

150 = 12b + 38

12b = 150 - 38

12b = 112

b = 112/12

b = 9.33

b ≈ 9 bundles

We need to round up the problem because the number of tiles can not be in fraction but as whole numbers.

5 0

2 years ago