The length of the hypotenuse is (the length of each leg) times (the square root of 2).
Answer:
y + 6 = (-8/5)(x - 1) in point-slope form
Step-by-step explanation:
Moving from the 1st point to the first, we see that x (the 'run') increases by 5 from -4 to 1, and y (the 'rise') decreases by 8. Thus, the slope of the line through these two points is m = rise / run = -8/5
Now we have two points on the line, plus the slope. Let's write out the point-slope formula for the equation of a straight line:
y - k = m(x - h), where (h, k) is a point on the line and m is the slope of the line.
Here, using the point (1, -6), we obtain:
y + 6 = (-8/5)(x - 1) in point-slope form
Given:
Volume of a sphere is
times the surface area.
To find:
The surface area and the volume of the sphere.
Solution:
Volume of a sphere:
...(i)
Surface area of a sphere:
...(ii)
Where, r is the radius of the sphere.
Volume of a sphere is
times the surface area.


Multiply both sides by 3.



Using (i), the volume of the sphere is:
Using (ii), the surface area of the sphere is:


Therefore, the surface area of the sphere is 9856 sq. units and the volume of the sphere is 91989 cubic units.
Answer:
It is the last one. (16 for 2 tickets)
Step-by-step explanation:
To make it a unit fraction you have to divide the denominator by itself to get 1. 2 divided by 2 equals 1. To keep the fraction equivalent divide the numerator by 2 as well. That equals 8. This makes the unit rate
1/8 Which is the biggest
X= -4; f(x)= -15
X= 2; f(x)= 3
X=5; f(x)= 12