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STALIN [3.7K]
3 years ago
9

find the equation for the line perpendicular to y=4/3x+1 with y-intercept 0,15 in slope-intercept form

Mathematics
1 answer:
drek231 [11]3 years ago
7 0

Answer:

y = (-3/4)x + 15

Step-by-step explanation:

The slope of the given line is 4/3.  The slope of a line perpendicular to this given line is the negative reciprocal of 4/3, which comes out to -3/4.

Now that we have both the slope and y-intercept of the new line, we're ready to write out the desired equation in slope-intercept form:

y = (-3/4)x + 15

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You found the prime factorization of the number 73 explain how you can check your answer
antoniya [11.8K]

9514 1404 393

Explanation:

You can check your answer by making sure that each of the primes you found is actually a prime. (Compare to a list of known primes, for example.) After you have determined your factors are primes, multiply them together to see if the result is 73. If so, you have found the correct prime factorization.

__

<em>Additional comment</em>

73 is prime, so its prime factor is 73.

  73 = 73

4 0
3 years ago
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
attashe74 [19]
The bar should be 8 1/24 from the each edge of the door.

We need to subtract 10 1/4 from 26 1/3 to get the fraction of the space not covered by the towel bar. 
We also need to divide the difference by 2 because we placed the towel bar in the center of the door.

1st we need to convert the mixed fractions into fractions to perform subtraction.
26 1/3 = ((26*3)+1)/3 = 79/3
10 1/4 = ((10*4)+1)/4 = 41/4

Steps in Subtracting Fractions
Step 1. Make sure the denominator is the same. 3 and 4 are the denominators, they are not the same but they are factor of 12. So,
79/3 must be multiplied by 4 = 79 * 4 / 3 * 4 = 316 / 12
41/4 must be multiplied by 3 = 41 * 3 / 4 * 3 = 123 / 12

Step 2. Subtract the numerators and place them above the common denominator
316/12 - 123/12 = 316 - 123 / 12 = 193 / 12

Before we can simplify the fraction, we must divide it by two to get the measurement of each edge of the door.

Steps in dividing fractions.
Step 1. Get the reciprocal of the 2nd fraction.
1st fraction : 193 / 12
2nd fraction : 2 /1  ⇒ reciprocal 1/2

Step 2. Multiply the 1st fraction to the reciprocal of the 2nd fraction
193 / 12 * 1/2 = 193 * 1 / 12 * 2 = 193 / 24

Step 3. Simplify the fraction.
193 / 24 = 8 1/24
8 0
3 years ago
Which correlation coefficient indicated the strongest linear relationship between the variables?
Anna35 [415]

Answer:

-0.87 has the strongest linear relationship

Step-by-step explanation:

-0.87, since it is the closest value to either one or negative one,

0.8 is the second strongest

0.65 is the third strongest

-0.52 is the least strongest

7 0
3 years ago
The distance between Walmart and Mrs. Stivers house is 8km. There are 1.6
BlackZzzverrR [31]

Answer:

5 miles

Step-by-step explanation:

Divide 8 by 1.6 and the answer is 5. I hope this helped:)

3 0
3 years ago
Please simplify 10{N + 3).
lana [24]

Answer:

Step-by-step explanation:

I must assume that you meant 10(N + 3).  Let's not mix { with ).

10(N + 3) is as simple as this expression gets.  You could, however, re-write it as 10N + 30.

6 0
3 years ago
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