Solve x2+6x=7 by completing the square.Which is the solution set of the equation?
1 answer:
Answer:
x = - 7, x = 1
Step-by-step explanation:
Given
x² + 6x = 7
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(3)x + 9 = 7 + 9
(x + 3)² = 16 ( take the square root of both sides )
x + 3 = ± = ± 4 ( subtract 3 from both sides )
x = - 3 ± 4
x = - 3 - 4 = - 7
x = - 3 + 4 = 1
Solution set = { - 7, 1 }
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The radius of the container is 2 centimeter
<h3><u>Solution:</u></h3>Given that a container of candy is shaped like a cylinder
Given that volume = 125.6 cubic centimeters
Height of conatiner = 10 centimeter
To find: radius of the container
We can use volume of cylinder formula and obatin the radius value
<em><u>The volume of cylinder is given as:</u></em>
Where "r" is the radius of cylinder
"h" is the height of cylinder and is constant has value 3.14
Substituting the values in formula, we get
Taking square root on both sides,
Thus the radius of the container is 2 centimeter
Answer:
A)
Step-by-step explanation:
Use the two-points formula for the slope of a line.
We know that the points (2,-2) and (9,3) are on the line. If (a,b),(c,d) are points on a line then the slope m is defined by the equation . In this case, a=2,b=-2,c=9 and d=3 then the slope is
.