Answer:
(a) No
(b) No
(c) No
Step-by-step explanation:
Given
See attachment
Required
Select Yes or No for each
To do this, we make use of Euler's formula

Where


Using: 


<em>The above equality is false. Hence, (a) does not exist</em>

Using: 


<em>The above equality is false. Hence, (b) does not exist</em>
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Using: 


<em>The above equality is false. Hence, (c) does not exist</em>
Finding x:
If y=2x+9, substitute y into the equation x-3y=-12.
You will get: x-3(2x+9)=-12
Now, distribute: x-6x-27=-12
Add like terms: -5x-27=-12
Add 27 to both sides: -5x=15
Divide both sides by -5: x=-3
Now, substitute this value of x into the equation to find y: y=2(-3)+9
Multiply: y=-6+9
Add: y=3
Here is the solution: (x,y)=(-3,3)
Hope this explanation helped!
Answer:
1. 13
2. 28
Step-by-step explanation:
hope this helps
Answer:
triangle on the left: 6 sq ft. triangle on the right: 28 sq ft. rectangle: 128. altogether, 162 sq ft. the trapezoid is about 61.6.
Step-by-step explanation:
for the rectangle the formula is bxh (base x height). for a triangle, it is bxh/2, or base times height divided by 2. for a trapezoid, it is b1+b2 x h / 2, or base 1 (bottom) plus base 2 (top) times height, take all of that and divide by 2.