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yarga [219]
3 years ago
9

Consider the line y=7x-3 fine the equation that pass through -5,6 of a perpendicular​

Mathematics
1 answer:
Pavel [41]3 years ago
5 0

Answer:

y=-\frac{1}{7}x+\frac{37}{7}

Step-by-step explanation:

Your equation is in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.  Your line has a slope of 7.  In order to find the line perpendicular to this line, we have to take the opposite reciprocal of the slope.  The perpendicular slope to m = 7 is m = -1/7.  Now we go through x = -5 and y = 6 to find the new equation.

6 = -1/7(-5) + b gives us

6 = 5/7 + b and

b = 37/7

Therefore, the equation of the line perpendicular to your original line is

y = -\frac{1}{7}x + \frac{37}{7}

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A padlock for your gym locker uses a three number sequence to open the lock. if the numbers go from 1 to 28, how many different
aalyn [17]

Answer:

19,656

Step-by-step explanation:

Numbers used in locker = 3

Total numbers available = 28

Repetition is not allowed, so one number can be used only once. The order of number matters in the locker e.g. 123 password is not the same as 231. Since, the order of numbers matter, this is a problem of permutations. We need to find the number of different sequences formed with 28 numbers taken 3 at a time. This can be represented as 28P3

The formula for permutations is:

^{n}P_{r}=\frac{n!}{(n-r)!}

For the given case, we will have:

^{28}P_{3}=\frac{28!}{(28-3)!}\\\\ = \frac{28!}{25!}\\\\ = 19656

This means, 19,656 different 3 numbered sequences are possible for the locker.

8 0
3 years ago
How do you solve for x
larisa [96]
Well, <T+<S will equal 11x +2 
so the equation will be 5x+10 + 58 = 11x +2
5x + 68 = 11x +2
66 = 6x (subtract 2, subtract 5x)
x = 11 (division)

To check,
<T = 5 (11) +10
<T = 65
11(11)+2 = 123
<T+<S = 123
65+58 = 123



8 0
3 years ago
Can someone help me with this question please.....
viva [34]

Answer:

9g/cm3 (g/ml)

Step-by-step explanation:

d(roe)=m/v=63g/7cm3=9g/cm3(g/ml)

d(roe)=m/v=117g/13cm3=9g/cm3(g/ml)

7 0
3 years ago
Read 2 more answers
The length of a rectangle is twice its width. The perimeter of the rectangle is 15 inches. What are the measurements of the leng
Airida [17]

Step-by-step explanation:

Let the breadth (b) of a rectangle be x

Then Length (L) = 2x

Now

Perimeter of the rectangle = 15 inches

Or, 2(L + b) = 15

2 ( 2x + x) = 15

2* 3x = 15

6x = 15

x = 15 / 6

x = 2.5 inch

Also Now

Length (L) = 2*2.5 = 5 inches

Breadth (b) = 2.5 inches

Hope it will help :)

5 0
3 years ago
Transformations reflection practice
SOVA2 [1]

Answer:

The Reflection:

<em>'T</em>(-2,-2), <em>'C</em>(-2,-5), <em>'Z</em>(-5,-4), <em>'F</em>(-5,0)

5 0
3 years ago
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