Answer:
Area of a square is given by:
A = a2
where a = length of side
Step-by-step explanation:
You want the to find the value of k such that the y coordinate of the vertex is 0.
0=x2−6x+k
The x coordinate, h, of the vertex is found, using the following equation:
h=−b2a
h=−−62(1)=3
Evaluate at x = 3:
0=32−6(3)+k
k=9
Maybe the coordinates (3,a)
hope it helps
Answer:
36, 6, 49, 7, 6, 7
Step-by-step explanation:
Just like the last one! The key is to think about the perfect squares closest to the number being asked about. For 47, these are 36 and 49, which have square roots of 6 and 7 respectively, so you know it must be between 6 and 7.
Answer:
commercial = 9
movie = 5
Step-by-step explanation:
Step one:
let the number of commercials be x and movies be y
so
40x+130y=1010-------------1
since there are a total of 14 commercials and movies combined
x+y=14--------------2
Hence the systems of equation is
40x+130y=1010------1
x+y=14-------------------2
Step two:
from equation 2
x=14-y
substui]te the value of x in equation 1
40(14-y)+130y=1010
560-40y+130y=1010
collect like terms
130y-40y=1010-560
90y=450
divide both sides by 90
y=450/90
y=5
movies is 90
put y=5 in equation 2
x+5=14
x=14-5
x= 9
commercial is 9 in numbers
and movie is 5
