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zmey [24]
3 years ago
6

The product of two consecutive positive integers is 29 more than their sum. Find the integers

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
6 0

Answer:

6 and 7

Step-by-step explanation:

6 plus 7 is equivalent to 13 and 6 times 7 is equivalent to 42.  13 plus 29 is equivalent to 42.

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Solve the system of equations x+y=-8 and -9x-6y=60 by combining the equations
TiliK225 [7]

Answer:

x = - 4    y = - 4

Step-by-step explanation:

x+y= - 8

-9x-6y=60

First, solve for x in the first equation:

x+y = - 8       Subtract y from both sides

x + y - y = -8 - y    y cancels on the left

x = - 8 - y

Now plug in what you found for x into the 2nd equation and solve for y.

- 9x - 6y = 60

-9(- 8 - y) - 6y = 60   Multiply out

72 + 9y - 6y = 60

72 + 3y = 60  Subtract 72 from both sides

72 - 72 + 3y = 60 - 72    72 cancels on the left

3y = - 12     Divie both sides by 3

3y/3 = -12/3     3 cancels on the left because 3/3 = 1

y = -4

Now plug your answer for y back into the first equation to get x.

x + y = -8

x + (-4) = - 8  Add 4 to each side

x - 4 + 4 = - 8 + 4   4 cancels on the left

x = -4

x = - 4 and y = - 4

8 0
3 years ago
Find sin D sin E cos D and cos E
Andrew [12]

9514 1404 393

Answer:

  sin(D) = cos(E) = (√3)/2

  cos(D) = sin(E) = 1/2

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relationships between trig functions and right triangle sides.

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

For this diagram, this means ...

  sin(D) = cos(E) = (13√3)/26 = (√3)/2

  cos(D) = sin(E) = 13/26 = 1/2

5 0
3 years ago
The points R(−4, −1) and S(2, −5) are two vertices of right triangle RST. The hypotenuse of the triangle is RS.
Norma-Jean [14]
      If RS is the hypotenuse of the triangle RST and point T is in Quadrant 3, then point T must be the intersection of the lines: x = - 4 and y = - 5.
       Therefore, the coordinates of point T are ( x, y ) = ( - 4, - 5 ) 
       Answer:
       T ( - 4, - 5 )
3 0
3 years ago
Read 2 more answers
in order to be invited to tutoring or extension activities a student's performance must be at least 20 points higher or lower th
Ad libitum [116K]

Answer:

p ≤ 85 or p ≥ 125

Step-by-step explanation:

8 0
3 years ago
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In the triangle below, what is tan F?
nydimaria [60]
Hope this helps you..!!!

7 0
3 years ago
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