Answer:
y value = 49
Step-by-step explanation:
You are going to be completing the square
y = - x^2 - 10x + 24 Take a minus outside the brackets for the first 2 terms.
y = - (x^2 + 10x) + 24
Take 1/2 the linear term (1/2 10 and square it. Put that value inside the brackets. 1/2* 10 =5; 5^2 = 25
y = - (x^2 + 10x + 25) + 24
Add 25 outside the brackets.
y = -(x^2 + 10x + 25) + 24 + 25. You should stop here and consider why you are adding 25 outside the brackets. It is because there is a - sign in front of the trinomial and what is inside the brackets is really - 25 when the brackets are removed. Therefore to balance that, you add 25.
Now complete the square.
y = - ( x + 5)^2 + 49
The value you seek is 49.
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I'll confirm this with a graph.
Answer: Yes it is a function
Step-by-step explanation:
I believe this this the function.
then
then
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Answer:
For problem 31: 25 counters in the 5th figure, 81 counters in the 9th figure, and 121 counters in the 11th figure.
Step-by-step explanation:
Since in the examples it shows 1 exponent 2, 2 exponent 2, and 3 exponent 2, that means all the rest will have 2 as an exponent. So the fifth figure would be 5 exponent 2, which is 5 times 5 = 25. The 9th figure would be 9 exponent 2, which is 9 times 9 = 81. The 11th figure would be 11 exponent 2, which is 11 times 11 = 121.
Is that all, or do you need answers for #'s 32, 33, and 34?
Answer:
900 sq ft
Step-by-step explanation:
The area of a trapezoid is (Base 1 + Base 2) * height/2. So to plug the numbers in...
(30+60)20/2
90*20/2
1800/2
900 sq ft
