A 360 degrees counter-clockwise rotation will bring the triangle at the same place.
So, divide 1980 by 360 and find the remainder.
On dividing, we can find that
1980 = 5(360) + 180
A 1800 degrees rotation will rotate the triangle 5 times and will bring it in the same place.
A further 180 degrees rotation will rotate the triangle to two quadrants back and will bring it in the first quadrant.
Answer:
x = -5 and x+1( consecutive integer) = -4
obviously x is smaller than the next integer
Step-by-step explanation:
Let the first integer be x
hence the consecutive integer is x +1
according to the give condition
x + 6(x + 1) = -29
x + 6x + 6 = -29
7x = -29 -6
7 x = -35
x = -35/7
x = -5
x + 1 = -5 + 1 = -4
GOOD LUCK FOR THE FUTURE! : )
y=x^2 + x - 2
x + y = 1
Replace y in the second equation:
x + x^2 + x -2 = 1
Simplify:
x^2 + 2x -2 = 1
Subtract 1 from both sides:
x^2 + 2x -3 = 0
Factor:
(x-1) (x+3) = 0
Solve for both x's:
x = 1 and x = -3
Now replace x in the second equation and solve for y using both x values:
1 + y = 1, y = 0
-3 + y = 1, y = 4
Now you have (1,0) and (-3,4) as solutions for (x,y)
XY = x times y:
1 x 0 = 0
-3 x 4 = -12
The answer would be -12
Answer: 92
Step-by-step explanation:
So 12 +80 = 4(3 + 20) = 92
1042 / 45
=23.15
You should be able to do that with a calculator though.
