Please, share just ONE problem at a time. Thanks.
<span>Solve 2x^2-12x+20=0:
Simplify this by dividing each term by 2: x^2 - 6x + 10 = 0
Identify a, b and c: a=1, b=-6 and c=10. Then b^2=36.
Write out the solutions using the quadratic formula:
6 plus or minus sqrt(36-40)
x = ---------------------------------------
2
sqrt(36-40) = sqrt(-4) = plus or minus i2
Then:
6 plus or minus i2
x = --------------------------- (answer)
2</span>
Answer:
11 cm
Step-by-step explanation:
Given:
Length of new pencil = 19 cm
Length of pencil after using a month = 8 cm
Question asked:
The pencil is centimeters shorter now than when it was new = ?
Solution:
Length of new pencil = 19 cm
Length of pencil after using a month = 8 cm
The pencil is centimeters shorter now than when it was new = 19 cm - 8 cm
= 11 cm
Length of pencil has been used during a month = 11 cm
Answer:
Center: (4,8)
Radius: 2.5
Equation: 
Step-by-step explanation:
It was given that; the endpoints of the longest chord on a circle are (4, 5.5) and (4, 10.5).
Note that the longest chord is the diameter;
The midpoint of the ends of the diameter gives us the center;
Use the midpoint formula;

The center is at; 
To find the radius, use the distance formula to find the distance from the center to one of the endpoints.
The distance formula is;




The equation of the circle in standard form is given by;

We substitute the center and the radius into the formula to get;


Answer:
false
Step-by-step explanation:
False
5(9)(3.2)
45*3.2=144
Hope this helps :)