Remember
(abc)/(def)=(a/d)/(b/e)(c/f)
and
(x^m)/(x^n)=x^(m-n)
and
x^-m=1/(x^m)
group like terms
(28/12)(p^9/p^-6)(q^-5/q^7)=
(7/3)(p^15)(q^-12)=
Answer:
There were 58 students in each bus.
Step-by-step explanation:
Total number of students x=
237
Number of students who travelled by car =
5
∴ Number of students who travelled by bus =
237
−
5
=
232
Presuming the buses to have the same capacity, and knowing that there were four buses, the number of students in each bus can be expressed as:
x
=232
÷4
x
=
58
The Pythagorean theorem states:
where a and b are the lengths of the legs and c is the length of the hypotenuse of a right triangle.
Substituting with a = 80 and b = 39, we get:
![\begin{gathered} c^2=80^2+39^2 \\ c^2=6400+1521 \\ c^2=7921 \\ c=\sqrt[]{7921} \\ c=89 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20c%5E2%3D80%5E2%2B39%5E2%20%5C%5C%20c%5E2%3D6400%2B1521%20%5C%5C%20c%5E2%3D7921%20%5C%5C%20c%3D%5Csqrt%5B%5D%7B7921%7D%20%5C%5C%20c%3D89%20%5Cend%7Bgathered%7D)
Do you have a picture of the question?
Answer:
4x - y = 16
Step-by-step explanation:
y = 2(x – 3)2 - 4
When written in standard form, this will be the answer --->
4x - y = 16
