Answer:
Step-by-step explanation:
Given that:
To evaluate the expression, we must simply substitute the given value of 
, which is 
, for :
Multiply:
Subtract:
-
To check your work, simply set the given expression equal to our solution, :
Add 
to both sides of the equation:
Divide both sides of the equation by the coefficient of , which is 
:
Since it matches the given value of , our solution is correct!
Answer:
(x - 6)² + (y - 7)² = 4
Step-by-step explanation:
Equation of circle: (x - h)² + (y - k)² = r²
Given center(h,k) = (6,7)
h = 6
k = 7
Dimeter = 4 --
radius, r = 
= 2
(x - h)² + (y - k)² = r²
(x - 6)² + (y - 7)² = 2²
(x - 6)² + (y - 7)² = 4
Answer: Kara should have written the proportion in step 1 as;
Start Fraction 12 Over 72 End Fraction = Start Fraction 14 Over x End Fraction (that is 12/72 = 14/x)
Step-by-step explanation: The two similar triangles are given with the following dimensions;
Triangle VXW with side VW = 12 and side VX = 14. Also Triangle ZXY with side YZ = 72 and side XZ = x.
For two triangles to be similar, then there must be a similarity ration that is consistent with all sides in both triangles. This means if in the first triangle a side measures 1 unit and the similar side in the other triangle measures 5 units, then the ratio of similarity of corresponding sides shall be ratio 1 : 5. So for every corresponding side in the second triangle the measurement shall be times five of the side that corresponds in the first triangle.
Therefore, in triangle VXW and triangle ZXY, the corresponding sides are as follows;
VX = ZX
VW = ZY
XW = XY
What Kara did was as follows;
VX/ZY = VW/ZX
Which translates to 14/72 = 12/x
This was a wrong calculation because the side that corresponds to VX is ZX and not ZY.
The correct step should therefore have been;
VW/ZY = VX/ZX
12/72 = 14/x (Step 1)
12x = (72) (14) {Step 2}
x = 1008/12 (Step 3)
x = 84 (Step 4)
The slope is 0 because there is no slope it is not pointing up nor is it down. It is just a straight line. I hope this helps!! Have a nice day!!
