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romanna [79]
3 years ago
10

Given the graph of a line y=−x.

Mathematics
1 answer:
Dovator [93]3 years ago
6 0

Answer: y=x-6

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

By definition, the slopes of perpendicular lines are negative reciprocals.

Given the line:

y=-x

We know that a line perpendicular to this line must have this slope:

m=\frac{1}{1}=1

Since that line goes through the point (8,2), we can substitute the slope 1 and these coordinates into y=mx+b and solve for "b":

2=(1)(8)+b\\\\2-8=b\\\\b=-6

Therefore, the equation of this line is:

y=x-6

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The second side of a triangular deck is 3 feet longer than the shortest side and a third side that is 3 feet shorter than twice
matrenka [14]

Answer:

Shortest Side = 20 feet

Second Side = 23 feets

Third Side = 37 feets

Step-by-step explanation:

Let the shortest side of the desk be x. Hence,

Second side = (x + 3) feets

Third side = (2x - 3) feets

Perimeter = 80ft

x + (x + 3) + (2x - 3) = 80

                          4x = 80

                             x = 20

Hence, Second side = (20 + 3) feets

                                  = 23 feets

Third side = (40 - 3) feets

                 = 37 feets

Hence<u>,</u><u> shortest side is 20 feets, Second side is 23 feets, Third side is 37 feets.</u>

7 0
3 years ago
A model of a skyscraper is 1.6 inches long, 2.8 inches wide, and 11.2 inches high. The scale factor is 8 inches = 250 feet. What
kozerog [31]

Answer:

50 feet long

87.5 feet wide

350 feet high

Step-by-step explanation:

8 inches : 250 feet

1 inch : 250/8 feet

250/8 = 31.25

Length: 31.25 × 1.6 = 50 feet

Width: 31.25 × 2.8 = 87.5 feet

Height: 31.25 × 11.2 = 350 feet

4 0
3 years ago
Line AB contains points A (0, 1) and B (1, 5). The slope of line AB is
Diano4ka-milaya [45]
(0,1)(1,5)
slope = (5 - 1) / (1 - 0) = 4/1 = 4 <==
8 0
3 years ago
Read 2 more answers
A theater wants 2000$ and children's tickets cost 5$ and adult tickets cost 10$.What is one combination of children and adult ti
scZoUnD [109]

Answer:

Therefore the one  combination is

200 tickets of Children and 100 tickets of Adult.

Therefore Total Amount will be given as

5x+10y=2000     ..........As Required

Step-by-step explanation:

Given:

Children's tickets cost = 5$ (per ticket)

Adult tickets cost = 10$ (per ticket)

Total Amount = 2000$

Let the number of Children's Ticket be " x "

and the number of Adult's Ticket be " y "

Therefore,

Total cost for Children's Ticket will be = 5\times x

Total cost for Adult's Ticket will be = 10\times y

Therefore Total Amount will be given as

5x+10y=2000      ...........As Required

So there are many combinations to get 2000$ one of the as follow

Children's tickets cost = 1000$

∴ 5x = 1000\\x=\dfrac{1000}{5}=200\ tickets

Adult's tickets cost = 1000$

10x = 1000\\x=\dfrac{1000}{10}=100\ tickets

Therefore the one  combination is

200 tickets of Children and 100 tickets of Adult.

4 0
3 years ago
Read 2 more answers
Please help i dont know how to solve
den301095 [7]

Answer:

  sum(2^(n+1), for n=1 to 6)

Step-by-step explanation:

To answer this question, you need to know two things:

  • what is an expression for the n-th term
  • how many terms are there

__

The series shown is a geometric series with first term 4 and common ratio 8/4 = 2. The generic form of the n-th term is ...

  an = a1×r^(n-1) . . . . first term a1, common ratio r

You can use this form directly in your summation expression, or you can simplify it a bit.

  an = 4×2^(n-1) = (2^2)(2^(n-1)) = 2^(n-1+2)

  an = 2^(n+1)

__

The value 128 is 2^7, so n+1 = 7, or n=6 for that term

Your summation expression could be ...

  \displaystyle\sum_{n=1}^6{2^{n+1}}

_____

<em>Additional comment</em>

The n-th term can also be written as 2×2^n.

3 0
2 years ago
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