<span>It is required to find the highest altitude (in meters) .
</span>
For the given <span>quadratic function ⇒⇒ A(t) = −(t − 11)² + 115</span>
From the attached figure which represents the graph of the given function
the maximum will be at point (11,115)
So, <span>
the highest altitude (in meters) = 115 meter</span>
<span>
and it will reach it at t = 11 </span><span>
seconds</span>
To solve this problem, you first need to subtract 100,034-9,348. You do this because Lexi scored that many points LOWER than Rial. You then take the answer to that subtraction problem (90,696) and add 9,749 to that answer. You do this because Susie scored 9,749 MORE than Lexi. You should get 100,435. This is Susie's score, so your final answer is 100,435 points.
Answer:
D I and IV
Step-by-step explanation:
The opposite of an integer "x" is "-x".
I. The integer is 53. → Since the opposite of George's integer is -53, the integer is -(-53) = 53
II. The integer has an absolute value of - 53. → The absolute value of 53 is 53.
III. The integer is - 53. → It was 53, found in I.
IV. The integer has an absolute value of 53. → It has an absolute value of 53, found in II.
Answer:
38 degrees
Step-by-step explanation:
this is an isosceles triangle, meaning that the base angles are congruent.
the total triangle is equal to 180
so the equation would be: x=180 - (71+71)
evaluate:
x=180-142
x=38 degrees
Hope this helps :)
Answer:
Width=10
Length=18
Step-by-step explanation:
The length is 2 feet less then twice the width
Let the width be x.
Then the length is 2x -2 based on the given information. Use this to make an equation since it is known that the area is 180feet squared.
x(2x-2)=180
2x^2 - 2x - 180 = 0
2( x^2 - x - 90) = 0
We now have a factorable quadratic.
2(x+9)(x-10)=0
So by zero product property, x=-9, x=10 Since a measure cannot be negative, -9 is an extraneous solution.
So x=10
Then the width is 10 and the length is 18
Hope this helps! Let me know if it is correct!