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telo118 [61]
2 years ago
15

The distances and times from a track meet for four schools are shown.

Mathematics
1 answer:
Rama09 [41]2 years ago
5 0

Answer:

Average time for West Middle was maximum.

Step-by-step explanation:

Average time for a track meet for schools = \frac{\text{Time}}{\text{Distance}}

For Eastbay Middle,

Average time per mile = \frac{42}{7}

                                     = 6 minutes per mile

For Northwest Middle,

Average time = \frac{25}{5}

                       = 5 minutes per mile

For South Central Middle,

Average time = \frac{28}{4}

                       = 7 minutes per mile

For West Middle,

Average time = \frac{48}{6}

                       = 8 minutes per mile

Therefore, average time for West Middle (8 minutes per minute) was maximum.

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Parabola with focus (2, 1) and directrix x=-8
scoray [572]

Consider we need to find the equation of the parabola.

Given:

Parabola with focus (2, 1) and directrix x=-8.

To find:

The equation of the parabola.

Solution:

We have directrix x=-8. so, it is a horizontal parabola.

The equation of a horizontal parabola is

(y-k)^2=4p(x-h)           ...(i)

where, (h,k) is center, (h+p,k) is focus and x=h-p is directrix.

On comparing focus, we get

(h+p,k)=(2,1)

h+p=2          ...(ii)

k=1

On comparing directrix, we get

h-p=-8         ...(iii)

Adding (ii) and (iii), we get

2h=2+(-8)

2h=-6

Divide both sides by 2.

h=-3

Putting h=-3 in (ii), we get

-3+p=2

p=2+3

p=5

Putting h=-3, k=1 and p=5 in (i), we get

(y-1)^2=4(5)(x-(-3))

(y-1)^2=20(x+3)

Therefore, the equation of the parabola is (y-1)^2=20(x+3).

6 0
2 years ago
If sin(6m-8) = cos (2m), find the value of m.
Gala2k [10]
   
We believe that the angles are in quadrant 1.

<span>sin(6m-8) = cos (2m)

</span>⇒  6m-8 = 90 - 2m
<span>
6m + 2m = 90 + 8

8m = 98

m = 98 / 8 = 12.25



</span>
4 0
3 years ago
Georgette balances her budget by using this plan. For every $100 she earns,
xxMikexx [17]

Answer:

$50

Step-by-step explanation:

3 0
3 years ago
What is the length of leg s of the triangle below ?
Mandarinka [93]

Answer:

4

Step-by-step explanation:

In a 45-45-90 triangle, the length of the hypotenuse is √2 times the legs.

s√2 = 4√2

s = 4

Each leg is 4 units long.

3 0
2 years ago
Read 2 more answers
Preform the indicated operation x^3 x^2
tresset_1 [31]
Simplify the following:
x^3 x^2

x^3 x^2 = x^(3 + 2):
x^(3 + 2)
3 + 2 = 5:
Answer:  x^5
5 0
3 years ago
Read 2 more answers
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