First of all we have to find the slope
m = y₂-y₁ / x₂-x₁
m = -8 + 16 / -10 + 8
m = 8/-2
m = -4
y-y₁ = m (x-x₁)
y + 8 = -4 (x + 10)
y + 8 = -4x - 40
y = -4x -40 - 8
y = -4x -48
<span>sinx - cosx =sqrt(2)
Taking square on both sides:
</span>(sinx - cosx)^2 =sqrt(2)^2<span>
sin^2(x) -2cos(x)sin(x) + cos^2(x) = 2
Rearranging the equation:
sin^2(x)+cos^2(x) -2cos(x)sin(x)=2
As,
</span><span>sin^2(x)+cos^2(x) = 1
</span><span>So,
1-2sinxcosx=2
1-1-2sinxcosx=2-1
-</span><span>2sinxcosx = 1
</span><span>Using Trignometric identities:
-2(0.5(sin(x+x)+sin(x-x))=1
-sin2x+sin0=1
As,
sin 0 = 0
So,
sin2x+0 = -1
</span><span>sin2x = -1</span><span>
2x=-90 degrees + t360
Dividing by 2 on both sides:
x=-45 degrees + t180
or 2x=270 degrees +t360
x= 135 degrees + t180 where t is integer</span>
Answer:
-3 <x <-1
Step-by-step explanation:
|x + 2| < 1
There are two solutions, one positive and one negative ( remember to flip the inequality for the negative)
x+2 <1 and x+2 > -1
Subtract 2 from each side
x+2-2 < 1-2 and x+2-2 > -1-2
x < -1 and x >-3
-3 <x <-1
Answer:
Step-by-step explanation:
12 divided by 5= 2.4
OR
2 2/5
Hope this helps! :)
Hello there! the winning time is 59.625 seconds.
This is the person who completed the lowest amount of time, meaning they finished first. The others too longer so they finished later, meaning they didn't win.
I hope this was helpful and have a great day! :)
