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3 years ago

Which statements about the hyperbola are accurate?

Mathematics

1 answer:

Marysya12 [62]3 years ago

3 0

Answer:

A. There is a focus at (-9, 1).

D. There is a directrix at x = -5.8.

F. There is a directrix at x = -2.2.

Step-by-step explanation:

Just did it in edg

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How do you find the value of 4!

prohojiy [21]

Answer:

Step-by-step explanation:

Factorial is applicable only for natural numbers and 0.

0! =1 trivially.

FOr other numbers, factorial is defined as 1x2x...n

For example 1! = 1

2! = 1x2 = 2

and so on.

i.e. n! = product of all natural numbers from 1 to n

= 1x2x....n

Using the above

we have n =4

Natural numbers from 1 to 4 are 1,2,3,4

Find the product of these 4 natural numbers to get 4!

4! = 1x2x3x4 = 24

3 0

3 years ago

Pls help. Multiply 8/5 × 15/32

Margaret [11]

Answer: 3/4

Step-by-step explanation: 8/5×15/32 equals 3/4

8/5 * 15/32= Now you must use inverse operations five goes into 15 3Times 8goes into 32 4 times Crossout eight and five cross out 15 and 30 to 3×1 = 3 and 4×1 = 4 so 8/5×15/32 equals 3/4

6 0

3 years ago

Find the volume, in cubic inches, of a right rectangular prism with the measurements below. Length: 3/2" Width: 5/2" Height: 4

Goshia [24]

Answer:

Step-by-step explanation:

The volume of a rectangular prism can be calculated by multiplying the area of its base by its height.

Mathematically, we have

The volume of prism = base area X height

At this point, it is important to note that a rectangular prism is a solid shape that has its base as a rectangle; so the area of its base, is the same thing as the area of a rectangle.

Where base area = length X breadth

hence, volume = length X breadth X height

volume = 3/2 X 5/2 X 4 = 15 cubic inches

3 0

3 years ago

Which expression can be used to model the phrase "the sum of three and a number"?

Brut [27]

Answer:

3 + X

Step-by-step explanation:

because the word sum is only used in addition.

8 0

3 years ago

Rhombus PQRS with vertices P(-8, 6), Q(-4, 8), R(0, 6), and S(-4, 4) REFLECTED over the line y = 2.

victus00 [196]

Answer:

P'(-8, -2), Q'(-4, -4), R'(0, -2) and S'(-4, 0)

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.

Reflection is the flipping of a point about an axis.

Given the Rhombus PQRS with vertices P(-8, 6), Q(-4, 8), R(0, 6), and S(-4, 4), if the rhombus is reflected over the y = 2 line the new point is:

For P(-8, 6): The point P has a y coordinate 4 units above the y = 2 line. Hence if it is reflected over the line y = 2, the new point would have a y coordinate 4 units below the y = 2 line which is P'(-8, -2)

For Q(-4, 8): The point Q has a y coordinate 6 units above the y = 2 line. Hence if it is reflected over the line y = 2, the new point would have a y coordinate 6 units below the y = 2 line which is Q'(-4, -4)

For R(0, 6): The point R has a y coordinate 4 units above the y = 2 line. Hence if it is reflected over the line y = 2, the new point would have a y coordinate 4 units below the y = 2 line which is R'(0, -2)

For S(-4, 4): The point S has a y coordinate 2 units above the y = 2 line. Hence if it is reflected over the line y = 2, the new point would have a y coordinate 2 units below the y = 2 line which is S'(-4, 0)

Therefore the reflected rhombus is at P'(-8, -2), Q'(-4, -4), R'(0, -2) and S'(-4, 0)

5 0

3 years ago