<u>ANSWER: </u>
If x =
and x = -3 are the roots of the equation, then values of a and b are 3, -6
<u>SOLUTION:
</u>
Given, quadratic equation is
and its roots are -3 , 
We know that, for any quadratic equation of form
with roots
then,
Sum of roots
= 
Product of roots (
= 
Now, for given quadratic equation
= -3 and
= 
hence Sum of roots = 


on solving we get "a" = 3
Now product of roots = 

b = -6
hence, the values of a and b are 3, -6.
Answer:
Population density = 
Step-by-step explanation:
The attached figure shows the dimension of an island.
Population density is equal to total population per unit land area.
Firstly we will find the area of the triangle using Pythagoras theorem as follows :

H is Hypotenuse, B is base and P is perpendicular

Area of triangle is given by :


Hence, the population density is
.
$30, because basically, it's -100, +100, -30.
Answer:
22
Step-by-step explanation:
Given:
An art teacher has the total number of buttons = 
1. In order to give each in the class 6 buttons, she will need 18 more buttons.
2. If she gives each child 5 buttons, she will have 4 left over.
Question asked:
How many children are in the class ?
Solution:
<u>Let total number of children in the class = </u>
<u><em>As given that, 18 more buttons will be needed to give 6 buttons to each.</em></u>
The equation will be:-

<em><u>Also given that, If she gives 5 buttons to each, she will have 4 left over.</u></em>
The equation will be:-

Subtraction equation 2 from 1

Hence, total number of children are 22.
Answer:
b
Step-by-step explanation: