Hi there! With equations like this we want to get our variable on one side and and our constant on the other.
So with 2x + 3 = -7 you'd subtract the constant 3 from both sides of the equal sign to get 2x = -10, then you'd divide both sides by 2 to get x = -5. If you double check your work by replacing x in the original equation with our answer we'd find that 2(-5) + 3 = -7 is correct.
Hope you find this helpful :)
we are given
absolute value of 2 and 2 3rd and negative 9 over 4
Firstly , we need write it in terms of expression
2 and 2 3rd is

so, we get as

now, we can simplify it
Firstly , we will find common denominator


we can see that
all denominators are same
so, we can combine numerators


..............Answer
Answer:
When increasing the radius 3 times the volume increases 9 times and when it is reduced to a third the volume decreases 9 times
Step-by-step explanation:
We have that the formula for the volume of a cone is:
Vc = pi * (r ^ 2) * h
We first calculate the original volume, where the radius is 2 and the height is 9, replacing:
Vc = 3.14 * (2 ^ 2) * 9
Vc = 113.04
Now if the radius is tripled it would be: 2 * 3 = 6, the radius would be 6, replacing:
Vc = 3.14 * (6 ^ 2) * 9
Vc = 1017.36
If we compare:
1017.36 / 113.04 = 9
This means that when the radius is tripled, the volume increases 9 times.
When if re reduces to a third the radius would be: 2/3, replacing:
Vc = 3.14 * ((2/3) ^ 2) * 9
Vc = 12.56
113.04 / 12.56 = 9
Which means that by reducing it to a third the volume becomes 9 times smaller.
Answer:
Equilateral triangle
Step-by-step explanation:
Equalateral triangles has 3 60 degre angles, and 3 congruent sides
Answer: The value of cos theta is -0.352.
Step-by-step explanation:
Since we have given that

We need to find the cos theta between u and w.
As we know the formula for angle between two vectors.

So, it becomes,

Hence, the value of cos theta is -0.352.