Hello:
let : f(x) = <span>x3 − 6x2 + kx + 10
</span><span>If (x + 2) is a factor of x3 − 6x2 + kx + 10  : f(-2) = 0
(-2)^3-6(-2)² +k(-2)+10=0
-8 -24-2k +10 = 0
-2k =8+24-10
-2k = 22
k = -11</span>
        
             
        
        
        
Answer:
r = 1
Step-by-step explanation:
slope = change in y / change in x, so:
change in y / change in x  = 2/3
5 - r / 7 - 1 = 2/3
5 - r / 6 = 2/3

now solve this equation.
first, multiply both sides by 6 to get rid of the fraction:

subtract 5 from both sides

multiply both sides by -1

 
        
             
        
        
        
(X)+(X+1)=24
"consecutive" means right after the other, so, if the first one is (X), the second integer <u>must be</u> (X+1). The answer 24 is given so you just have to solve the equation.
2X+1=24
2X=23
X=11.5
        
             
        
        
        
Answer:
60
Step-by-step explanation:
TOTAL SURFACE AREA = AREA OF SQUARE+2×(AREA OF TRIANGLE)
 =(6×6)+2×(1/2×6×4)
 =36+24=60 square inches
I hope it helped you