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3 years ago

Consider again the two points F(−9, 0) and ????(9, 0) in the coordinate plane. The equation of the

Mathematics

1 answer:

uysha [10]3 years ago

7 0

Answer:

k = 2a = 10

Step-by-step explanation:

x² / 25 − y² / 56 = 1

we know that

a² = 25 ⇒ a = 5

b² = 256 ⇒ b = √256

The equation of the hyperbola defined by |FP − PG| = k can be written as follows:

|FP − PG| = 2*a

then

2*a = 2*5 = 10

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On a field trip, there are 5 adult chaperones for every group of 20 students. There are 150 people in total on the trip. What pe

denis23 [38]

Answer:

80% of the people on the trip are children.

Step-by-step explanation:

To determine the percentage of the people on the trip that are children,

First, we will determine how many of the people are children.

From the question,

There are 5 adult chaperones for every group of 20 students, that is, out of 25 people, 5 are adult chaperones and 20 are students.

From the question, there are 150 people in total in total.

Let the number of children be x

If there are 20 students (children) in 25 people

Then, there will be x children in 150 people

x = (150 × 20) / 25

x = 120

Hence, there are 120 children.

To determine the percentage of the people on the trip that are children,

we will divide the number of children by the total number of people and then multiply by 100%

Number of children = 120

Total number of people = 150

∴ The percentage of the people on the trip that are children is

(120/150) × 100% = 0.8 × 100% = 80%

Hence, 80% of the people on the trip are children.

7 0

3 years ago

Read 2 more answers

what is an equation of a parabola with a with the given vertex and focus vertex: (-2, 5) focus: (-2, 6)

SpyIntel [72]

Step-by-step explanation:

As the vertex (−2,5) and focus (−2,6) share same abscissa i.e. −2, parabola has axis of symmetry as x=−2 or x+2=0

Hence, equation of parabola is of the type (y−k)=a(x−h)2, where (h,k) is vertex. Its focus then is (h,k+14a)

As vertex is given to be (−2,5), the equation of parabola is

y−5=a(x+2)2

as vertex is (−2,5) and parabola passes through vertex.

and its focus is (−2,5+14a)

Therefore 5+14a=6 or 14a=1 i.e. a=14

and equation of parabola is y−5=14(x+2)2

or 4y−20=(x+2)2=x2+4x+4

or 4y=x2+4x+24

6 0

4 years ago

B = 7, a + b = 8, a+7 = 8 is an example of which property?

Yuki888 [10]

The answer is the substitution property

3 0

3 years ago

Read 2 more answers

The width of a rectangle is 9 less than twice its length. If the area of the rectangle is 96

Alja [10]

Thee diagonal of the rectangle is 13.86 cm long.

<h3>What is the length of the diagonal of rectangle?</h3>

We are given that;

Width of a rectangle is 9 less than twice its length. Thus, if length is L, then;

W = 2L - 9

Area formula for a rectangle is;

A = Length * Width

We are given area of rectangle = 96 cm²

Thus;

L(2L - 9) = 96

2L² - 9L = 96

2L² - 9L - 96 = 0

Using online quadratic equation calculator gives;

L = 9.53 cm

Thus;

W = 2(9.53) - 9

W = 19.06 - 9

W = 10.06 cm

The diagonal of the triangle will be gotten from Pythagoras theorem;

D = √(9.53² + 10.06²)

D = √192.0245

D = 13.86 cm

Thus, we conclude that the diagonal of the rectangle is 13.86 cm long.

Read more about Rectangle Diagonal at; brainly.com/question/7071655

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6 0

2 years ago

Help anyone can help me do this question,I will mark brainlest.

erica [24]

Answer:

5. R = 6

6. D = 22

Step-by-step explanation:

5. The area formula is πr2.

If πr2=36π,

π can be canceled out from both sides.

Then, it is r2=36.

If we square root both sides, we get:

r=6 .

Therefore, the radius of your circle is 6.

6.A = 121 π

A = r² π

r² π = 121 π

r = √ 121 = 11

The diameter: d = 2 r = 2 * 11 = 22 units

5 0

3 years ago