Answer:
9cm
Step-by-step explanation:
- Since PQST is a rectangle, ∠QST=∠QSR=∠90º. So triangle QSR is a right triangle.
- By the Pythagorean Theorem and that SR=6 and QR=10, we can say that 6^2+b^2=10^2. So, 36+b^2=100. And b^2=64 and b=8. So QS=8.
- Now we know that QS=PT=8.
- By the Pythagorean Theorem and that PR=17 and PT=8, we can say a^2+8^2=17^2. So, a^2+64=289. And a^2=225 and a=15.
- We know that TR=15 and SR=6 and TR-SR=TS, so 15-6=9.
 
        
             
        
        
        
Answer:
The student is expected to spend <em>15.4 hours </em>doing homework
Step-by-step explanation:
The scattered plot shows there is a close correlation between the variables. A line of best fit will go through the 'center' of the points. Since we are not required to find an exact line, we'll draw it in red color as shown below
To know the equation of that line, we must take two clear points of it from the graph. We'll pick (28,4) and (4,25)
The equation of a line, given two points (a,b) and (c,d) is

Using the selected points

Simplifying and computing results, the equation is

Using that equation, we can predict how many hours the students will spend doing homework if they spend 15 hours watching TV
 =15.4 hours
=15.4 hours
So the student is expected to spend 15.4 hours doing homework
 
        
             
        
        
        
Answer: 9 
Step-by-step explanation: just devide then times
 
        
                    
             
        
        
        
Answer:
y =  x - 5
 x - 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) =( 8, - 3) and (x₂, y₂ ) = (0, - 5)
m =  =
 =  =
 = 
Note the line crosses the y- axis at (0, - 5 ) ⇒ c = - 5
y =  x - 5 ← equation of line
 x - 5 ← equation of line