On the 7th grade field trip to Washington D.C for every 8 students there were 3 chaperones. 12 chaperones were needed. How many
1 answer:
You might be interested in
Answer:
see attached
Step-by-step explanation:
The Pythagorean theorem can be used to find the hypotenuse associated with each pair of legs. That tells you ...
c² = a² +b² . . . . . legs a, b; hypotenuse c
__
<h3>alternate form of Pythagorean theorem</h3>For the purpose of this problem, it is convenient to consider a slightly different form of the equation.
For legs √a and √b, the hypotenuse √c is given by ...
(√c)² = (√a)² +(√b)²
c = a +b
That is ...
legs √a, √b ⇒ hypotenuse √(a+b)
__
<h3>application to this problem</h3>Since the legs are (mostly) given in terms of square roots, the value under the radical for the hypotenuse is simply the sum of those:
legs: √1, √2 ⇒ hypotenuse √(1+2) = √3
legs: √2, √3 ⇒ hypotenuse √(2+3) = √5
legs: √5, √3 ⇒ hypotenuse √(5+3) = √8
legs: √5, √1 ⇒ hypotenuse √(5+1) = √6
_____
<em>Additional comment</em>
You may not see the leg lengths given as square roots very often. This is a rather unusual set of problems for hypotenuse length.
Answer:
Step-by-step explanation:
we need to find the equation of the parabola with vertex (-5,3), with axis parallel to the x-axis.
general equation of horizontal parabola is
where (h,k) is the vertex
(-5,3) is the vertex. h=-5 and k=3. plug in the values in the general equation
Now find out the value of 'a' using x intercept (4,0)
Add 5 on both sides
a=1
the equation becomes