Y= a(x-3)^2+6
2= a(0-3)^2+6
2=a(-3)^2+6
2=a(9)+6
2-6=9a
-4=9a
-4/9=a
Therefore the equation in vertex form is
y = -4/9 (x-3)^2+6
count all the dots that are greater than 10. you'll get 6 dots. the question is asking for the dots 10 and fewer there is 40 dots in total so you subtract
40-6= 34
the answer is 34/40
Answer:
7.211103
Step-by-step explanation:
For:
(X1, Y1) = (-3, 4)
(X2, Y2) = (1, -2)
Distance Equation Solution:
d=(1−(−3))2+(−2−4)2−−−−−−−−−−−−−−−−−−−√
d=(4)2+(−6)2−−−−−−−−−−√
d=16+36−−−−−−√
d=5–√2
d=7.211103
:)
Answer:
what is the question
Step-by-step explanation:
Candy draws a square design with a side length of x inches for the window at the pet shop. She takes the design to the printer and asks for a sign that has an area of 16x2 – 40x + 25 square inches. What is the side length, in inches, of the pet shop sign?
Answer:
the length of the sign is
inches
Step-by-step explanation:
Given
Area of the square of design = 
First we find the roots of equation 
The roots of the quadratic equation
are given by

where 






That is, the factors of the polynomial
are
and
.
So, Area of the square design =
= 
Area of a square = Length^2
Thus, the length of the sign is
inches