Using the substitution method, we can plug equation 1 into equation 2 (in place of x) as a result we see:
<span>x + 4 = 3x + 6</span><span /><span>
</span>
Answer:
(x - 3)² + (y + 5)² = 10
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
Here (h, k) = (3, - 5 ) , then
(x - 3)² + (y - (- 5) )² = r² , that is
(x - 3)² + (y + 5)² = r²
r is the distance from the centre to a point on the line
Calculate r using the distance formula
r = 
with (x₁, y₁ ) = (3, - 5) and (x₂, y₂ ) = (6, - 4)
r = 
= 
= 
=
⇒ r² = (
)² = 10
(x - 3)² + (y + 5)² = 10 ← equation of circle
Answer:
n = d+30 since he has 30 more nickels than dimes, to make them equal you have to add 30 to the dimes.
:
n+d = 150 substitute for n:
d+30+d = 150
2d = 120
d = 60 he has 60 dimes and 150-60 = 90 nickels
- the number of the games he played
- the number of the games he won
- the number of the games he lost


<u>so, he has still 3 games to play</u>
Answer:
3/5 of a minute
Step-by-step explanation:
1/3 of a page in 1/5 of a minute = 2/3 of a page in 2/5 of a minute = 3/3 (or 1) page in 3/5 of a minute.