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Helga [31]
3 years ago
15

The greater of two consecutive integers is 7 less than one-third the smaller integer. Find the integers​ and show your work.

Mathematics
1 answer:
SIZIF [17.4K]3 years ago
8 0

Answer:

  {-12, -11}

Step-by-step explanation:

Let x represent the smaller of the two integers. The problem statement tells us ...

  x +1 = (1/3)x -7

  (2/3)x = -8 . . . . . . subtract 1/3x +1

  x = -12 . . . . . . . . . multiply by 3/2

The integers are -12 and -11.

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Choose the equation below that represents the line passes to the point (7,-2) an the slope of -3
katrin [286]
Hello there!
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y-y1=m(x-x1)
hope this helps
8 0
3 years ago
Please help to answer the questions from the picture!!!
sergey [27]
A) 13 degrees because it would be 90-77
If two angles are complementary, then the two angles add up to 90 degrees.
If angle A is 77, then the complement would be 90-77 or 13 degrees.

b) The complement of the complement of the angle is the angle itself.
Say the angle A is 30 degrees. It's complement is 90-30 or 60 degrees.
The complement of the 60 degrees is 30 degrees.
So the complement of the complement of the angle would be the angle itself. 

Hope this helps :)
7 0
3 years ago
M
telo118 [61]

Answer:

35643

Step-by-step explanation:

M

(3x+20)

H (x+25)°

N

(x+20)

K

What is the measure of ZJHN?

25°

45°

50°

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4 0
2 years ago
write the standard form of the equation of the circle that passes through the origin, (2.8,0), and (5,2)
Sphinxa [80]

Answer:

2.2y-2x = 0

Step-by-step explanation:

The standard form of the equation is normally y = mx + c where m is the gradient or the slope value while c is the y intercept.

As we know, the line passes through the origin, hence, it has no y intercept. This means our c has a value of zero.

What is left to find is the slope of the line.

m = (y2 - y1)/(x2 - x1)

m = (2 - 0)/(5 - 2.8)

m = 2/2.2 = 0.9091

so the standard form of the equation of the line is y = 0.9091x

OR

y = (2/2.2)x

OR

2.2y = 2x

3 0
3 years ago
How is the graph of y=9(3)^x-2 -6 translated from the graph of y=9(3)^x ?
USPshnik [31]
For this case we have the following function:
 y = 9 (3) ^ x
 Applying the following transformations we have:
 Horizontal translations
 Suppose that h> 0
 To graph y = f (x-h), move the graph of h units to the right.
 y = 9 (3) ^ (x-2)
 Vertical translations
 Suppose that k> 0
 To graph y = f (x) -k, move the graph of k units down.
 y = 9 (3) ^ (x-2) - 6
 Answer:
 
2 units to the right
 
6 units down
5 0
4 years ago
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