2p+6a=$14
3p+9a=$21
3p+9a=21
Subtract 9a
3p=21-9a
divide all by 3
p=7-3a
plug it into start equations
2p+6a=14
2(7-3a)+6a=14
14-6a....+6a=14
this zeroes out...
Answer:
150 degrees
Step-by-step explanation:
Graphing the complex number we see the angle terminates in the second quadrant. This means the argument, the angle, will be between 90 degrees and 180 degrees.
So if we create a right triangle with that point after graphing it. We see the height of that triangle is 5 because that is the imaginary part. The base of that triangle has length
. The problem is this doesn't give us any part of the angle we want, but it does give us the complementary of the part of the angle that is in second quadrant.
Let's find the complementary angle.
So the opposite side of the complementary angle is 5.
The adjacent side of the complementary angle is
.




So 90-30=60.
The answer therefore 60+90=150.
Answer:
The solutions are x = -7, 6.
Step-by-step explanation:
To find the solutions, move everything to one side of the equation so the equation is equal to 0. Then factor. Set the factors equal to 0 and solve for x.

x+7 = 0
x = -7
and
x-6 = 0
x = 6
The solutions are x = -7, 6.
Answer:
19 minutes in 2 miles is how long it tool her to run it
Step-by-step explanation:
Answer:
<h2>270 ft²</h2>
Step-by-step explanation:
<h3>METHOD 1:</h3>
<em>Look at the picture</em>
We can divide a given polygon into three rectangles:

The formula of an area of a rectangle <em>l × w </em>:

Calculate the area of each of the rectangles:

The area of the given polygon:

<h3 /><h3>METHOD 2:</h3>
<em>Look at the second picture</em>.
We subtract the field of the smaller rectangle (<em>11ft × 6ft</em>) from the field of the large rectangle (<em>21ft × 16ft</em>):
