We can use using graphing technology to solve the system of equations here.
So draw sketch of graphs 
and 
on graphing calculator. you will get sketch as shown
Take pointer to point of intersection as shown. It displays (x,y) coordinate of points of intersection as (9.597, 3.459) as show in figure.
Now round off these values to nearest tenth thats one digit after decimal dot.
so to round 9.597 to one decimal place we will see 2nd decimal digit(next to place where you have to round off) which is 9 here and as 9 is greater than 5 so we will increase 1st decimal place digit by 1, so round to one decimal place will be 9.6.
Similarly to round off 3.459 to one decimal place we will see 2nd decimal digit which is 5. Again as its equals 5 we will increase the 1st decimal digit by 1 for round off. So final round off to one decimal place will be 3.5
So final answer for solution set will be choice C (9.6, 3.5)
Answer:
a) Yes
b) Not a right triangle
Step-by-step explanation:
<h3><u>Part (a)</u></h3>
The sum of the lengths of any 2 sides of a triangle is greater than the length of the 3rd side.
7 + 8 = 15 > 9
7 + 9 = 16 > 8
8 + 9 = 17 > 7
Therefore, a triangle with side lengths 7, 8 and 9 <u>can</u> be made.
<h3><u>Part (b)</u></h3>
To determine if the triangle is a right triangle, use Pythagoras' Theorem:
a² + b² = c² (where a and b are the legs, and c is the hypotenuse)
The hypotenuse is the longest side, therefore:
Substituting these values into the formula:
⇒ a² + b² = c²
⇒ 7² + 8² ≠ 9²
⇒ 113 ≠ 81
As 7² + 8² ≠ 9² then the triangle is <u>not</u> a right triangle.
Answer:
20, 4
Step-by-step explanation:
Let's assume total number of students registered is n
Last week n/4 people are absent
so people present are n - n/4 = <u>3n/4</u>
Today after return of Jen 1/5 n are absent
so people present are n - n/5 = 4n/5
which is also equal to last week present people + 1 (Jen)
= 3n/4 + 1
= (3n + 4) / 4
so (3n + 4) / 4 = 4n/5
=> 3n + 4 = 4n/5 * 4
=> (3n + 4) * 5 = 16n
=> 15n + 20 = 16n
=> 20 = n
=> n = 20
So total students registered for class is 20
today no of people absent = n/5 = 20/5 = 4
Answer:
24
Step-by-step explanation:
Prime Factorise 72:
Prime factorise 96:
Multiply the common factors of 
and 
:
Answer:
False
Step-by-step explanation: Are you asking whether or not its false? If so then yes f(x) is not a function because the x's on the left side repeat. Example the six points to two different numbers on the right side. I hope i helped!
