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Aleonysh [2.5K]
3 years ago
7

Which statements about the hyperbola are true? Check all that apply. There is a vertex at (–5, 2). The center of the hyperbola i

s at (–2, 2). There is a vertex at (–2, 7). The transverse axis is vertical. The directrices are vertical lines.
Mathematics
2 answers:
skelet666 [1.2K]3 years ago
4 0

Answer:

A, B, E,

Step-by-step explanation:

CAuse yes

hammer [34]3 years ago
4 0

all but c

thats the answer

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Adam’s father is 3 times as old as Adam. Two years ago, Adam was 15 years old. How old will his father be in 5 years?
Nata [24]

Answer: 56 years

Step-by-step explanation:

Let Adam's age be x , since the father is 3 times as old as him , then the father will be 3x.

Two years ago

Adam = x - 2

Father = 3x - 2

since Adam was 15 years old 2 years ago , this means that

x-2=15

add 2 to both sides

x = 17

Therefore , Adam is presently 17 years old , then the father will be 3(17) years , which means that the father is presently 51 years old.

In 5 years time , the father will be 51 + 5 years old. That is , the father will be 56 years old in 5 years time

6 0
3 years ago
What are the first, second, and third frequencies audible from a 20 cm long organ pipe when (A) only one end is open and when (B
kotykmax [81]
A) The answers are:
the first frequency - 428.75 Hz
the second frequency - 1286.25 Hz
the third frequency - 2143.75 Hz

The frequency (when the pipe is closed) is: f = v(2n - 1)/4L
v - the speed of sound
n - the frequency order
L - the length of the organ pipe

We know:
v = 343 m/s
L = 20 cm = 0.2 m

1. The first frequency (n = 1):
f = 343 * (2 * 1 - 1) / 4 * 0.2 = 343 * 1 / 0.8 = 428.75 Hz


2. The second frequency (n = 2):
f = 343 * (2 * 2 - 1) / 4 * 0.2 = 343 * 3 / 0.8 = 1286.25 Hz


3. The third frequency (n = 3):
f = 343 * (2 * 3 - 1) / 4 * 0.2 = 343 * 5 / 0.8 = 2143.75 Hz


B) The answers are:

the first frequency - 857.5 Hz
the second frequency - 1715 Hz
the third frequency - 2572.5 Hz

The frequency (when the pipe is open) is: f = vn/2L
v - the speed of sound
n - the frequency order
L - the length of the organ pipe

We know:
v = 343 m/s
L = 20 cm = 0.2 m

1. The first frequency (n = 1):
f = 343 * 1 / 2 * 0.2 = 343 / 0.4 = 857.5 Hz


2. The second frequency (n = 2):
f = 343 * 2 / 2 * 0.2 = 686 / 0.4 = 1715 Hz


3. The third frequency (n = 3):
f = 343 * 3 / 2 * 0.2 = 1029 / 0.4 = 2572.5 Hz
4 0
3 years ago
one angle has a measure that is less than 15 than two times a number. a second angle is three times the number. the angles are c
adell [148]

Answer:

27 degrees and 63 degrees

Step-by-step explanation:

Let n be the number.

Angle 1: 2n-15

Angle 2: 3n

If the angles are complementary they add up to 90.

Therefore we can write an equation.

2n-15+3n=90

Combine like terms

5n-15=90

Add 15 to both sides

5n=105

n=21

Now we plug 21 in for n and solve for the angles

Angle 1 = 2(21)-15

Angle 1 = 42-15

Angle 1 = 27

Angle 2 = 3(21)

Angle 2 = 63

4 0
2 years ago
3x=15-6y in slope intercept form
sdas [7]

Answer:  y= -1/2x + 5/2

Step-by-step explanation:

3x = 15 -6y

+6y       + 6y

3x +6y =15

-3x           -3x

6y= 15-3x   divide both sides by 6

y= 15/6 - 3/6x

in slope intercept form us y= -3/6x + 15/6  in simplest form is y= -1/2x + 5/2

3 0
3 years ago
Reduced to lowest terms.<br> 44 nickels to 11 dimes
Finger [1]

Answer:

4 nickels to 1 dime

Step-by-step explanation:

the steps are in the pic above I gotta get this to 20 characters bye!

3 0
2 years ago
Read 2 more answers
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