Answer:
Step-by-step explanation:
The formula for finding the distance between two points is expressed as shown
D = √(x₂-x₁)²+(y₂-y₁)²
Given the coordinate (17,3) and (17,−5), from the coordinates x₁ = 17, y₁ = 3, x₂ = 17 and y₂ = -5.Substituting the values given into the formula;
D = √(17-17)²+(-5-3)²
D = √0²+(-8)²
D = √64
D = 8
According to the result gotten, it can concluded that Marcia is correct although she didn't use the right expression to calculate her distance. She should have taken the square root of the sum of the square of difference in the coordinates axis according to the formula used.
 
        
             
        
        
        
Answer:
Step-by-step explanation: 5/10=1/2  - if one student  are chosen, who plays soccer
4/9 if then the second student are chosen, who plays soccer
1/2*4/9=2/9 the probability that both  students play soccer
 
        
             
        
        
        
Answer:
The number 6 came up 7 times out of a total of 40 trials.
Step-by-step explanation:
took the test
 
        
                    
             
        
        
        
Answer:
x = 65 
Step-by-step explanation:
The angle labeled with the expression " ( 2x + 15 ) " and the angle with the measure of 145° are vertical angles
Vertical angles are congruent (In other words, they are equal to each other)
Hence, 2x + 15 = 145
                    ^ ( Note that we just created an equation  that we can use 
                        to solve for x ) 
Using that same equation we then solve for x
2x + 15 = 145
step 1 subtract 15 from each side 
15 - 15 cancels out 
145 - 15 = 130 
we now have 130 = 2x
step 2 divide each side by 2 
130 / 2 = 65 
2x / 2 = x 
we're left with x = 65 
  
        
             
        
        
        
9514 1404 393
Answer:
   y +1 = -3(x -3)
Step-by-step explanation:
The given point is (3, -1), and the given slope is -3. The form suggests you want the point-slope form of the equation for the line:
   y -k = m(x -h) . . . . . . . . line with slope m through point (h, k)
Using the given values, the equation is ...
   y -(-1) = -3(x -3)
   y +1 = -3(x -3)