Answer:
Formula for the Arc length is given by:
As per the statement:
radius of circle(r) = 6 units
Angle (
) = 
radian
Use conversion:
= 
then;
substitute these given values we have;
Use value of 
or
Simplify:
Therefore, the arc length of the arc substended in a circle with radius 6 units an angle of 7 pi/8 is 16.485 units
Answer:
(-2, -3)
(3, 12)
Step-by-step explanation:
To solve this, we're gonna get rid of the y's with substitution
x² + 2x - 3 = 3x + 3
Let's make this equation equal to zero
Subtract 3 from both sides
x² + 2x - 3 = 3x + 3
- 3 - 3
x² + 2x - 6 = 3x
Subtract 3x from both sides
x² + 2x - 6 = 3x
- 3x - 3x
x² - x - 6 = 0
Factor the equation
(x - 3)(x + 2) = 0
This means x can be -2 or 3
Let's solve it with -2 first, plug the new x in y = 3x + 3
y = 3(-2) + 3
y = -6 + 3 = -3
Do the same for x = 3
y = 3(3) + 3
y = 9 + 3 = 12
Answer: The value of a is -6.
Step-by-step explanation:
To do this we need to find the y-intercept first.
-2= 4(1/2) + b
-2=2+ b
-2 -2
b= -4 so now the y-intercept is -4 so we will now have the equation y= 1/2x -4
so now put -4 into the equation for x and solve for y.
y= 1/2(-4) -4
y = -6
y < -|x|
replace the letters with the given numbers:
(1,-2) -2<-|1| this is true
(1,-1) -1 <-|1| this is false
(1,0) 0 < -|1| this I false
The answer is (1,-2)
F(x)=x^2 +8x
f(d-3) basically what we get from this is that the x value is d-3
to find f(d-3) simply plug in d-3 for every x
f(d-3)=(d-3)^2 + 8(d-3)
that would be one form of the answer, but we can also continue multiplying it out
f(d-3)= d^2-6d+9+8d-24
add like terms
f(d-3)=d^2+2d-15
have a nice day and i hope this helps :)
