Answer:

Step-by-step explanation:
Let
x -----> the number of days
y ----> the number of minutes Yuson has left
we know that
The linear equation in slope intercept form is equal to

where
m is the slope
b is the y-coordinate of the y-intercept (initial value)
In this problem we have
The slope is equal to
----> is negative because is a decreasing function
----> initial value
substitute the values

For this case we have the following expression:

The first step is to solve the quadratic term.
We have then:

Then, the second step is to subtract both resulting numbers:

We observe that the result obtained is a negative number.
Answer:
The result of the expression is given by:

Answer:
< CFE = 40°
Step-by-step explanation:
To better understand the solution, see attachment for the diagram.
Given:
BC parallel to DE
Measure of Arc BD = 58°
Measure of Arc DE = 142°
First step: Draw a diameter that passes through the centre of the circle and name it. In this case, the diameter is line ST.
The line ST divides the arc BD and arc DE into half.
That is:
Arc SC = 1/2(arc BC) =1/2(58)
Arc SC = 29°
Arc TE = 1/2(arc DE) =1/2(142)
Arc TE = 71°
Arc SC + Arc CE + Arc TE = 180° (Sum of angles in a semicircle
29° + Arc CE + 71° = 180°
Arc CE + 100° = 180°
Arc CE = 180-100
Arc CE = 80°
Inscribed angle = 1/2(intercepted angle)
<CFE = 1/2(Arc CE )
<CFE = 1/2(80)
< CFE = 40°
9514 1404 393
Answer:
(x +6)^2 +(y -4)^2 = 36
Step-by-step explanation:
The center is (-6, 4) and the radius is 6. Putting those into the standard form equation, you have ...
(x -h)^2 +(y -k)^2 = r^2 . . . . . . center (h, k), radius r
(x -(-6))^2 +(y -4)^2 = 6^2 . . . . numbers filled in
(x +6)^2 +(y -4)^2 = 36 . . . . . . cleaned up a bit