MATHEMATICS HIGH SCHOOL

Sarah solves the equation as shown.2(x + 3) = 8
1. 2x + 6 = 8
2. 2x = 2
3. x = 1

In which step did Sarah use the distributive property?
1
2
3

Answers

Answer 1

Answer: 1st step because 2 times x is 2x and 2 times 3 is 6

Answer 2

Answer:

Answer:

Step 1

Step-by-step explanation:

2(x + 3) = 8

1. 2x + 6 = 8

2. 2x = 2

3. x = 1

In step 1, she distributed the 2 to the x and 3 by multiplying them and getting 2x and 6.

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Answer:

AC<AB+BC

If you were to flatten out the distance AB and BC, logically speaking, you'd get a larger distance than the distance AC.

Select two numbers which have an absolute value that is greater then the absolute value of 4-1/4

Answers

Answer:

A.) -5. E.) 6 hope I could help

Help and if you help explain how you got the answer details people for i can understand how you. Got it for i can know how to do it

Answers

first you need to get the common denominator my multiply something like this
3/5 * 8/8= 24/40
7/8 * 5/5= 35/40
now that we got a common denominator we can add
24/40 + 35/40 = 59/40 turned to the simplest form it would be 1_19/40
hope this helps

$(3)/(5)+(7)/(8)=\n(24)/(40)+(35)/(40)=\n(59)/(40)$

A sound wave is given the following equation:y= 8 sin(512πt) where t= time in seconds.

How many cycles will occur between t=2 and t=3.5 seconds?

Answers

The number of cycles that will occur between t = 2 and t = 3.5 seconds is 384.

How to estimate the standard equation of a sine wave?

Given, y = 8 sin(512πt)

where t = time in seconds.

The standard equation of a sine wave is:

y = A sin(2πfx + B) + C

where A exists the amplitude

f exists the frequency

B exists the phase shift

C is the vertical offset.

In this case:

2πf = 512π

f = 256

This means there are 256 cycles per second.

The number of cycles between t = 2 and t = 3.5 exists:

(3.5 − 2) × 256

= 384

Therefore, the number of cycles that will occur between t = 2 and t = 3.5 seconds is 384.

To learn more about the standard equation of a sine wave

brainly.com/question/14716430

#SPJ2

Answer:

384

Step-by-step explanation:

Standard equation of a sine wave is:

y = A sin(2πf x + B) + C

where A is the amplitude, f is the frequency, B is the phase shift, and C is the vertical offset.

In this case:

2πf = 512π

f = 256

This means there are 256 cycles per second. The number of cycles between t = 2 and t = 3.5 is:

(3.5 − 2) × 256

384

You want to place a towel bar that is 10 1/4 inches long in the center of a door that is 26 1/3 inches wide. How far should you place the bar from each edge of the door

Answers

If the bar is in the center of the door then we know that there is the same amount of space on each side of the bar. Call this space 's'. This is what we need to find. We also know the total width of the door and the total length of the bar. With this info we can set up and equation to represent the relationship:

$s=(26(1)/(3) - 10(1)/(4))/(2)$

and then solve for s. This is easer to do if we convert the two fractions to a common base and rearrange the equation so that instead of dividing by 2, we instead multiply by 1/2:

$s=26(4)/(12) - 10(3)/(12) * (1)/(2) = 13(1)/(12) * (1)/(2) = (193)/(12) * (1)/(2) = (193)/(24) = 8 (1)/(24)inch$

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