Answer:
8 and 9
Step-by-step explanation:
Let the two consecutive integers be x - 1 and x
Smaller = x-1
Largere = x
If the square of the smaller integer is nineteen more than five times the larger integer, then;
(x-1)² = 19 + 5x
Expand
x²-2x+1= 19+5x
x²-2x-5x+1-19 -0
x²-7x-18 =0
Factorize
x²-9x+2x-18 =0
x(x-9)+2(x-9) = 0
(x+2) = 0 and x - 9 = 0
x = -2 and 9
SInce x cannot be negative;
x = 9
Smaller number = 9-1
Smaller number = 8
Hence the two consecutive integers are 8 and 9
Hello :
cscx = -5/2
1/sinx =-5/2
sinx=-2/5
sin²x+cos²x=1
4/25+cos²x=25/25
cos²x = 21/25
between 270 and 360 : cosx > 0 cosx=(<span>√21)/5
but : sin2x =2sinx cosx
sin2x = 2(-2/5)(</span>(√21)/5)
sin2x = (-4√21)/25
9514 1404 393
Answer:
zero
Step-by-step explanation:
The y-coordinates of the two points are the same, so the line through them is a horizontal line. There is no vertical change for any amount of horizontal change. The "rate of change" is 0.
Answer:
reflections, translations and rotations
Step-by-step explanation:
Yes.
