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Sliva [168]
3 years ago
14

A line passes through the point (1,4) and is perpendicular to the line with equations y=-1/5x+2. what's the equation of the line

?
Mathematics
1 answer:
jekas [21]3 years ago
4 0

To find the slope of the perpendicular line, you can take the negative reciprocal of the slope of the line it is perpendicular to.

Taking the negative reciprocal of -1/5 gives 5.

Now we have y=5x+b, where b is the y-intercept. Since we know that the perpendicular line passes through the point (1,4), we can substitute those values into the equation we have to find b.

y=5x+b

4=5(1)+b

4=5+b

b=-1

Therefore, the equation of the perpendicular line is y=5x-1.

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A muffin recipe calls for 3 times as much flour as sugar.
BigorU [14]

f=3s

f = the amount of flour

Hope this helps! :)

7 0
2 years ago
1,8,27; 64; Rule Missing numbers​
zubka84 [21]

Answer:

  rule: f(n) = n³

  missing numbers: 125, 216, 343, 512, 729

Step-by-step explanation:

Your familiarity with the cubes of small integers helps you recognize each of these numbers is a cube. Their sequence is the sequence of cubes of increasing natural numbers.

  1 = 1·1·1 = 1³

  8 = 2·2·2 = 2³

  27 = 3·3·3 = 3³

  64 = 4·4·4 = 4³

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The rule is ...

  f(n) = n³

The cubes of 5 through 9 will complete the set of numbers ...

  1, 8, 27, 64, 125, 216, 343, 512, 729

7 0
1 year ago
An equation always, sometimes, never has one solution?
DiKsa [7]

Answer: An equation may have more than one solution, or the solution(s) may be complex, rather than real, but it will always have one solution - and sometimes more than one.

Step-by-step explanation:

3 0
2 years ago
Choose the product. a 3 b 2 · 4ab 3 <br><br> 4a3b5<br><br> 4a3b6<br><br> 4a4b5
zvonat [6]
A³ b² 4ab³

Rearrange order:

4  a³ a  b² b³

Now add up the exponents from same base:

4  a³⁺¹  b²⁺³

4 a⁴ b⁵

Final answer: 4 a⁴ b⁵
5 0
3 years ago
Dakota’s parents are creating her practice ballet studio and want to install baseboards around the perimeter of the rectangular
kherson [118]

1. When you estimate, it is not an exact measurement. 3ft 8 in gets rounded to 4ft and 12 ft 3 in rounds to 12ft. now find the perimeter. P=2l+2w P= 2*12 +2*4 P=32feet

2. 3ft 8in = 3 8/12 or reduced to 3 2/3  12ft 3in = 12 3/12 or reduced to 12 1/4   The fractional part is referring to a fraction of a foot.

3. The perimeter of the room is P=2l+2w or P=2(12 1/4) + 2(3 2/3) p=24 1/2 + 7 1/3  P= 31 5/6 feet

4. The estimate and the actual are very close. They are 1/6 of a foot apart.

5a. Total baseboard 31 5/6ft - 2 1/4 ft = 29 7/12 feet needed.

5b. Take the total and divide it by 8ft  = 29 7/12 divided by 8= 3.7  You are not buying a fraction of a board so you would need 4 boards.


4 0
3 years ago
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