In order to determine the vertex of this, you can complete the square. To do that, first set the equation equal to 0, then move the -35 over to the other side by adding. That gives us 
. Now we can complete the square. Do this by taking half of the linear term, squaring it, and adding it in to both sides. Our linear term is 2x. Half of 2 is 1, and 1 squared is 1. So we add 1 to both sides, creating something that looks like this: 
. We will do the math on the right and get 36, and the left will be expressed as the perfect square binomial we created by doing this whole process. 
. Now move the 36 over by subtraction and set it back to equal y and your vertex is apparent. It is (1, -36). You find the x-intercepts when y = 0. That means you need to set your original equation equal to zero and factor it. The easiest, surest way to do this is to use the quadratic formula. Doing that gives us x values of 7 and -5. And you're done!
HEY HELP WAYYY OVERDUE NEED IN 10 MINS PLEASE ANSWER CHOICES ARE : 29.76 91.5 180 188.93 223.07
2 answers:
Answer:
223.07
Step-by-step explanation:
Hey There!
So the first step of this problem is to find the equation for the area of a parallelogram and the area of a circle
The area of a parallelogram is equal to bh
the base is 20 and the height is 15
20x15=300
Now we want to find the equation for area of a circle
to find the area of the circle we use the formula
A = π x radius²
the radius is the diameter divide by 2
14/2=7 so the radius is 7
now we just plug 7 into the area of a circle formula
7²=49
49x3.14=153.86
But because it is a semi circle we divide by 2
153.86/2=76.93
Now to find the area of the object we subtract 76.93 from 300
300-76.93=223.07
Therefore the area of that object is 223.07
<em>The1AndOnlyMark</em>
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-------> equation
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the solution is the point
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