Lines are neither perpendicular nor parallel.
Step-by-step explanation:
Step 1:
In equation 1, Y = 5X + 7
In equation 2, Y = -2X -5
Step 2:
Slope Intercept form Y =mX +c
Where m = Slope
Slope of line 1 = 5
Slope of line 2 = -2
m1 is not equal to m2. Hence it is not parallel.
m1 × m2 is not equal to -1. Hence they are not perpendicular.
A turning point occurs when the velocity is equal to zero, but the acceleration is not equal to zero.
t(x)=(x+5)^3+7
dt/dx=3(x+5)^2
d2t/dx2=6(x-5)
dt/dx=0 only when x=-5
However, since d2t/dx2(-5)=0, this point is an inflection point, not a turning point.
So there is no turning point for this function.
Now in this problem, it is even easier than the above to show that there is no turning point. A turning point by definition is when the derivative or velocity changes sign. Since in this case v=3(x+5)^2, for any value of x, v≥0, and thus never becomes negative, so it never changes from a positive to negative velocity because velocity in this instance is a squared function.
Answer:
D
Step-by-step explanation:
Use the formula for the SA of a hemisphere.
Now we can find the radius of the hemisphere, which is 15.
Then, we can square that and multiply it by 2 to get 450.
Now, let's use the formula for the Volume of a hemisphere.
Now we can cube 15 and multiply it by 2 to get 6750.
Then we can divide this number by 3.
2250.
So the answer is D.
Answer:
A. No real solution
B. 5 and -1.5
C. 5.5
Step-by-step explanation:
The quadratic formula is:
, with a being the x² term, b being the x term, and c being the constant.
Let's solve for a.
We can't take the square root of a negative number, so A has no real solution.
Let's do B now.
So B has two solutions of 5 and -1.5.
Now to C!
So c has one solution: 5.5
Hope this helped (and I'm sorry I'm late!)
Since (x - 2)° and (2x + 5)° represent a pair of supplementary angles, then their sum must be equal to 180°. Therefore, the two supplementary angles are 57° and 123°.
