Answer:
Step-by-step explanation:
Hello, the vertex is (1,2), right?
You remember that when the parabola equation is in standard form like below

The vertex is for , and we apply with this example where a = 1, b = -2, c=3

So this is the first graph.
Thank you
Answer:
Hi there!
The correct answer is: 20
Step-by-step explanation:
knowing this a right triangle you can solve this problem in two ways
Method One: Pythagorean Theorem
a^2 + b^2 = c^2 then plug in the values
(12)^2 + (16)^2 = c^2 this will come out to be 400 = c^2
square root both sides and you get c = 20
Method Two: Pythagorean Identities
if you ever learned the Pythagorean identity 3,4,5
this triangle is indeed a 3,4,5 triangle it's just that each side is multiplied by the factor 4
so in this case since you know the missing side should be 5 you just multiply 5 by 4 and you get 20
Answer:
h ≈ 66.4 ft
Step-by-step explanation:
The situation can be modelled by a right triangle with h representing the height of the tree.
Using the tangent ratio in the right triangle
tan39° =
=
( multiply both sides by 82 )
82 × tan39° = h , then
h ≈ 66.4 ft ( to the nearest tenth )
Answer:
Acute Triangle
Step-by-step explanation:
<u><em>Angles in a triangle add up to 180 degrees.</em></u>
So,
x+2x+2x = 180
=> 5x = 180
Dividing both sides by 5
=> x = 36
<u><em>So, The lengths are:</em></u>
=> 36
=> 72
=> 72
<em><u>Since all the angles are less than 90 degrees, It is an acute triangle.</u></em>
Answer:
37.5 Gallons will be used after a 15-minute shower.
50 Gallons will be used after a 20-minute shower.
DM me if you need an explanation.