Answer:
x - intercept: (3, 0)
y - intercept: (0, 9)
Step-by-step explanation:
This equation is written in standard form,
To find the intercepts it would be easier to put the equation in
slope-intercept form y = mx + b
- x and y are the variables
- m is slope, slope = rise / run
- b is the y - intercept, when x = 0
- the x - intercept is when y = 0
9x + 3y = 27
subtract 9x from both sides
(9x - 9x) + 3y = 27 - 9x
3y = 27 - 9x
Divided both sides by 3
3y / 3 = 27 - 9x / 3
y = 27 / 3 - 9x / 3
<u>y = - 3x + 9</u>
Now we can plug in x = 0, to find y - intercept:
y = - 3(0) + 9
y = 0 + 9
y = 9
Now we can plug in y = 0, to find x - intercept:
0 = - 3x + 9
0 - 9 = - 3x + 9 - 9
-9/3 = -3x/3
-3 = -x
3 = x
Learn more about slope-intercept form here: brainly.com/question/18617367
You can solve for C using the law of cosines.
P, Q, and R are the angles of the triangle and p, q, and r are the lengths of the sides of the triangle opposite of the angles. That means p = 10ft, q = 12ft, and r=5ft. The law of cosines states that:

Since we're looking for the measure of angle P, we would use the first equation,

. Plug the values we have for the sides of the triangle into the equation and solve for P:
The measure of angle P is about 55<span>
°.</span>
Answer:
Plane MNO
Plane PST
Step-by-step explanation:
The plane L can be given another name using uppercase letters only. The plane will require three letters name so that it represents a complete angle. The names can be assigned using the point to point method or randomly. There are two choices available to name the current plane. Plane MNO and Plane PST are the names that can be given to plane L.
Answer:
Step-by-step explanation:
Combine like terms
-20w³ + 11w³
-9w^3