Answer:
Shortest Leg: 5 inches, Hypotenuse: 13 inches
Step-by-step explanation:
A right triangle follows the pythagorean theorem, a^2+b^2=c^2. C is the hypotenus. A combination found using this is 5, 12, and 13. To double check this, we know that the hypotenus is 2x+3, where x is the smallest leg.
Answer:
The seagull's position halfway is 85.5 feet.
Step-by-step explanation:
The seagull is at 125 1/2 feet above the sea level.
The fish is at 45 1/2 feet below the sea level.
The distance between the seagull and fish = seagull's distance above the sea level + fish's distance below the sea level
= 125 1/2 + 45 1/2
=
+ 
= 
= 171
The distance between the seagull and fish is 171 feet.
Since the seagull stops halfway, then;
seagull's position = 
= 85.5
The seagull's position halfway is 85.5 feet.
Answer:
and

Step-by-step explanation:
The standard equation of a circle is
where the coordinate (h,k) is the center of the circle.
Second Problem:
- We can start with the second problem which uses this info very easily.
- (h,k) in this problem is (-2,15) simply plug these into the equation.
. - We can also add the radius 3 and square it so it becomes 9. The equation.
- This simplifies to
.
First Problem:
- The first problem takes a different approach it is not in standard form. But we can convert it to standard form by completing the square.
first subtract 37 from both sides so the equation is now
.
by adding
to both the x and y portions of this equation you can complete the squares.
and
which equals 49 and 4.- Add 49 and 4 to both sides and the equation is now:
You can simplify the y and x portions of the equations into the perfect squares or factored form
and
. - Finally put the whole thing together.
.
I hope this helps!
Answer:
option <u>C</u> is the correct option!!