Answer:
The length of MN is 30.
Step-by-step explanation:
It is given that △XYZ maps to △MNO with the transformation

This rule of transformation represents the dilation with scale factor 5 because the dilation about the origin is defined as

where, k is scale factor.
In dilation, the image and preimage are similar and scale factor is the ratio of corresponding side of image and preimage.
In △XYZ and △MNO,


Multiply both sides by 6.

Therefore the length of MN is 30.
Answer:
StartFraction 2 plus or minus StartRoot (negative 2) squared minus 4(1)(negative 3) EndRoot Over 2(1) EndFraction
Step-by-step explanation:
General quadratic equation: ax^2 + bx + c
where a is the coefficient of the quadratic term, b is the coefficient of the linear term and c is the independent term. Here the equation is: x^2 – 2x – 3, so a = 1, b = -2 and c = -3
Quadratic formula:
Replacing
Answer: Less than
Step-by-step explanation:
if you convert 5 gallons into cups you get 0
Y=x^2-6x+9=(x-3)^2. Setting this to 0, (x-3)^2=0. x=3 is the only root.