Answer: 945
Step-by-step explanation:
this month = 450.
next month 450x10/100=45, 450+45= 495
450+495= 945
Answer:
y = 15x+32
Step-by-step explanation:
Given
y to be the total minutes Andrew will play video games today
x is the total number of games played after school
If he wants to play an additional 15 minutes each of x games after school today, the total minutes he will use for the x games will be 15* x = (15x)minutes
We are told that he has initially spent 32minutes on video games. hence;
Total minutes Andrew used on games y = (15*x)+32
The required equation will be y = 15x+32
Step-by-step explanation:
The formula is Distance=√(x2-x1)²+(y2 -y1)²
x1 is 5, x2 is 1, y1 is 9, y2 is 6
D = √( 1-5)² +(6-9)²
D = √(-4)²+(-3)²
D = √16+9
D = √25
D = 5 units
Answer:
centre = (2, 4)
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given
x² + y² - 4x - 8y - 5 = 0
Rearrange the x/y terms together and add 5 to both sides
x² - 4x + y² - 8y = 5
Use the method of completing the square on both the x/y terms
add ( half the coefficient of the x/y terms )² to both sides
x² + 2(- 2)x + 4 + y² + 2(- 4)y + 16 = 5 + 4 + 16
(x - 2)² + (y - 4)² = 25 ← in standard form
with centre (2, 4) and r = 
= 5
