Idk seriously i suck at math but i use photomath it is a really good app u should try it
Answer:
The area of the figure is equal to 
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The area of the figure is equal to the area of a square plus the area of a triangle
<u>Find the area of the square</u>
The area of square is equal to
<u>Find the area of the triangle</u>
The area of the triangle is equal to
therefore
The area of the figure is equal to
Answer: 90 degrees
============================
Explanation:
Let x and y be the two angles. Because they are supplementary angles, this means x+y = 180. Also since we're told that the angle is its own supplement, we can say that y = x.
Consequently, we can replace y with x and solve for x like so:
x+y = 180
x+x = 180 .... y is replaced with x since y = x
2x = 180
2x/2 = 180/2
x = 90
This means y = 90 as well. As a check, note how
x+y = 90+90 = 180
which verifies our answer.
The linear equation that is asked from the problem takes the
form of:
y = m x + b
where,
y = the median salary
x = the number of years
m = the slope of equation
b = y-intercept
The slope of the equation (m) can be calculated using the
formula:
m = (y2 – y1) / (x2 – x1)
m = (1326720 – 441300) / (2008 – 2000)
m = 110,677.5
The y-intercept is then obtained by using any of the data
pair:
441300 = 110677.5 (2000) + b
b = -220913700
Therefore the complete equation is:
y = 110677.5 x – 220913700
The median salary in 2016 is therefore:
y = 110677.5 (2016) – 220913700
y = $2,212,140
Answer:
$2,212,140
Answer:
The equation of the sphere with center (-2, 3, 7) and radius 7 is 
.
The intersection of the sphere with the yz-plane is 
.
Step-by-step explanation:
We know that any sphere can be represented by the following equation:
Where:
, 
, 
- Coordinates of the center of the sphere, dimensionless.
- Radius of the sphere, dimensionless.
If 
and 
, we obtain this expression:
The intersection of the sphere with the yz-plane observe the following conditions:
, 
, 
Hence, the expression above can be reduced into this:
