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3 years ago

If the coefficient a in the general quadratic equation is equal to 9, what is the focal length for the

Mathematics

1 answer:

lutik1710 [3]3 years ago

5 0

Answer:

Step-by-step explanation:

Let the equation of a parabola be

$y^{2}$ = 4ax.

Then , focal length of the parabola is a.

As , (0,0) is the vertex and its focus is (a,0)

Thus, focal length comes out to be a.

Here,

a is given as 9 units .

Thus focal length of the parabola, d, equals to 9 units

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A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh 55 pounds each, and the small boxes

nikdorinn [45]

Answer:

The number of large boxes is 55 and the number of small boxes is 70

Step-by-step explanation:

The complete question is

A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh 50 pounds each, and the small boxes weigh 20 pounds each. There are 125 boxes in all. If the truck is carrying a total of 4150 pounds in boxes, how many of each type of box is it carrying?

Let

x ------> the number of large boxes

y -----> the number of small boxes

we know that

$x+y=125$ -----> equation A

$50x+20y=4,150$ ----> equation B

Solve the system by graphing

Remember that the solution of the system of equations is the intersection point both graphs

The intersection point is (55,70)

therefore

The number of large boxes is 55 and the number of small boxes is 70

3 0

3 years ago

The focus of a parabola is located at (0,–2). The directrix of the parabola is represented by y = 2. Which equation represents t

Archy [21]

Answer:

$\boxed{x^2=-8y}$

Step-by-step explanation:

$(a,b)\ is \ the\ focus\\y=k\ is \ the\ directrice\\\\Formula\ to\ use:\ y=\dfrac{(x-a)^2}{2(b-k)} +\dfrac{b+k}{2} \\\\Here: \ a=0,\ b=-2, \ k=2\\\\y=\dfrac{(x-0)^2}{2(-2-2)} +\dfrac{-2+2}{2} \\\\so\ y=-\dfrac{x^2}{8} \\\\or\ x^2=-8y$

3 0

3 years ago

In a fruit cocktail, for every 15 ml of orange juice you need 5 ml of apple juice and 50 ml of coconut milk. What is the ratio o

Kruka [31]

Answer:

1/14:5/7:3/14

Step-by-step explanation:

Since orange=15

Apple=5

Coconut milk=50

50+15+5

Orange=15/70

Divide both by 5

=3/14

Apple=5/70

Divide both by 5

=1/14

Coconut milk=50/70

Divide both by 10

=5/7

So the ratio of apple to coconut to orange

1/14:5/7:3/14

8 0

3 years ago

Find the prime facrorization for 100 A.2² × 5² B.2×50 C.4×25 D.2³ × 5² E. 2² × 5³

d1i1m1o1n [39]

Answer:

Step-by-step explanation:

100-25*4=5 squared*2 sqaured

so A

6 0

3 years ago

Read 2 more answers

2/3 x -6 =9 22 1/2 10 -22 1/2 25

Pavel [41]

Answer:

22 1/2

Step-by-step explanation:

2/3x=15

x=15/2/3

x=15*3/2

x=45/2

Therefore, x=22 1/2

5 0

3 years ago