Answer:
45 degrees
Step-by-step explanation:
Answer:
Step-by-step explanation:
So, in this problem, we're given the size of the of the file. We are also given the rate of change of the amount-downloaded function.
Notice how the transfer rate is in units of time (25.2 MB/s means 25.2 MB per second).
If we want to calculate how <em>long</em> it'll take to download the entire file, we have to divide the file size by the amount of the MB downloaded in one second. (This is assuming the download rate is constant, in the case it isn't constant, you would use calculus) This will find the total number of seconds needed to download the entire file.
We're essentially solving for t in the equation


Answer:
.
(Expand to obtain an equivalent expression for the sphere:
)
Step-by-step explanation:
Apply the Pythagorean Theorem to find the distance between these two endpoints:
.
Since the two endpoints form a diameter of the sphere, the distance between them would be equal to the diameter of the sphere. The radius of a sphere is one-half of its diameter. In this case, that would be equal to:
.
In a sphere, the midpoint of every diameter would be the center of the sphere. Each component of the midpoint of a segment (such as the diameter in this question) is equal to the arithmetic mean of that component of the two endpoints. In other words, the midpoint of a segment between
and
would be:
.
In this case, the midpoint of the diameter, which is the same as the center of the sphere, would be at:
.
The equation for a sphere of radius
and center
would be:
.
In this case, the equation would be:
.
Simplify to obtain:
.
Expand the squares and simplify to obtain:
.
Answer:
(2,6)
Step-by-step explanation:
<u><em>The options of the questions are</em></u>
(0,1) (1,3) (2,6) (3,27)
and the given function is 
we know that
If a ordered pair lie on the graph of the given equation, then the ordered pair must satisfy the given equation
<u><em>Verify each ordered pair</em></u>
case 1) (0,1)
substitute the value of x and the value of y in the linear equation and then compare the results

----> is true
so
The ordered pair lie on the graph of the given equation
case 2) (1,3)
substitute the value of x and the value of y in the linear equation and then compare the results

----> is true
so
The ordered pair lie on the graph of the given equation
case 3) (2,6)
substitute the value of x and the value of y in the linear equation and then compare the results

----> is not true
so
The ordered pair not lie on the graph of the given equation
case 4) (3,27)
substitute the value of x and the value of y in the linear equation and then compare the results

----> is true
so
The ordered pair lie on the graph of the given equation
Answer:
y +8 = -4(x -8)
Step-by-step explanation:
You recognize that the given equation is in slope-intercept form:
y = mx + b
with m = 1/4 and b = 5.
A perpendicular line will have a slope that is the negative reciprocal of this value of m, so the desired slope is ...
-1/m = -1/(1/4) = -4
The point-slope form of the equation for a line is ...
y -k = m(x -h) . . . . . for slope m through point (h, k)
Using m=-4 and (h, k) = (8, -8), the point-slope form of the equation for the line you want is ...
y +8 = -4(x -8)