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daser333 [38]
2 years ago
7

Write the equation of a line perpendicular to y= -1/3x + 5 and passes through the point (6, 4).

Mathematics
1 answer:
Levart [38]2 years ago
3 0

Answer:

y = 3x - 14

Step-by-step explanation:

Perpendicular lines will have a opposite reciprocal slope, so the slope will be 3.

Plug in the slope and given point into y = mx + b, then solve for b:

y = mx + b

4 = 3(6) + b

4 = 18 + b

-14 = b

Plug in the slope and y intercept into y = mx + b

y = 3x - 14

So, the equation of the line is y = 3x - 14

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Place the numbers 0 to 8, inclusive, in the magic square so that the sum of the numbers in each row, column, and diagonal is the
ehidna [41]

Answer: See attached table

Step-by-step explanation:

\begin{table}[]\begin{tabular}{lllll} &  &  &  &  \\ &  &  &  &  \\ &  &  &  &  \\ &  &  &  & \end{tabular}\end{table}+---+---+---+

| 1 | 8 | 2 |

+---+---+---+

| 6 | 4 | 2 |

+---+---+---+

| 5 | 0 | 7 |

+---+---+---+

<u>Proofs:</u>
First row: 1+6+5 = 12

Second row: 8+4+0 = 12

Third row: 2+2+7 = 12

First column: 1+8+2 = 12

Second column: 6+4+2 = 12

Third column: 5+0+7 = 12

Diagonal starting from top left to bottom right: 1+4+7 = 12

Diagonal staring from top right to bottom left: 2+4+5 = 12

6 0
2 years ago
the cost of cookies at store A are shown in the graph. The cost y for x cookies at store B is represented by the equation y=o.30
drek231 [11]

Answer:

I

Step-by-step explanation: pick I because The cookies at store B cost more

5 0
2 years ago
A store sells juice in different sizes. Determine which size is the best buy and the unit price.
Ray Of Light [21]
64 oz $14.08, because you get more for a smaller price
5 0
3 years ago
Marking brainliest <br><br> In your own words, what does freedom mean to you?
antiseptic1488 [7]
Freedom to me means that you have the power to speak and act in the way you want as long as you are not breaking any laws or already in trouble with the law
8 0
2 years ago
A group of students is arranging squares into layers to create a project. The first layer has 5 squares. The second layer has 10
True [87]

Answer:

  • Recursive formula:

                                         a_1=5;a_n=5+a_{n-1},n>0

Explanation:

All the shown formulae in the choice list are recursive formulae instead of explicit formulae.

Explicit formulae that represent arithmetic sequences are of the form:

  • a_n=a_1+(d-1)n

That kind of formula permits to determine any term knowing the first term, the number of the term searched, and the common difference (d).

On the other hand, the recursive formulae let you to calculate one term knowing the previous term and the difference.

In this case, the difference in the number of squares of two consecutive terms is:

  • differece = number of squares in the second layer - number of squares in the first layer.

  • d = 10 - 5 = 5

Then, the recursive formula is:

  • a_1=5;a_n=5+a_{n-1},n>0

8 0
3 years ago
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