X^3 - 14x^2 + 49x = 0
Factor an x out:
x(x^2 - 14x + 49) = 0
Find two factors of 49 that add to -14 (-7 and -7). Convert the trinomial to two binomials:
x(x - 7)(x - 7) = 0
The zeros are:
x = 0 and x = 7.
7 occurs as a zero twice and therefore has a multiplicity of 2.
Answer:
15 inches
Step-by-step explanation:
The longest side of the right triangular window frame is 39 inches
The height is 36 inches
Let the base of the window frame be x inches
So according to Pythagoras theorem,
x² + 36² = 39²
x² = 39² - 36² = 225
x =
= 15 inches
The third side of the window frame is therefore equal to 15 inches.
Answer:
The required equation in standard form is 
Step-by-step explanation:
The equation of a circle with center (h,k) an radius, r units is given by the formula;

The given circle has center (-2,0) and radius squared can be calculated from the given area, which is 


We substitute these values into the formula to obtain;

We simplify to get;

Answer:
The equations are not equivalent
Step-by-step explanation:
2(3c +2) -2c
6c + 4 - 2c
combine like terms
4c +4 does not equal 4c +2