Answer: y = 2x - 9
Step-by-step explanation:
I graphed it and did the work in my head-
34 less than (-34) the product of (multiply) 14 (14) and an unknown (x) is (=) 78 (78)
-34+14 times x=78
14 times x=14x
14x-34=78
add 34 to both sides
14x=112
divide both sdies by 14
x=8
the number is 8
Answer: 5 calories = 1 cracker
Step-by-step explanation:
60:12 = 5:1
60 calories and 12 crackers = 5 calories and 1 cracker
Answer:
(x + 1)² + (y + 3)² = 16
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 + 2x + 6y - 6 = 0
Collect the x and y terms together and add 6 to both sides
x² + 2x + y² + 6y = 6
To complete the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(1)x + 1 + y² + 2(3)y + 9 = 6 + 1 + 9
(x + 1)² + (y + 3)² = 16
with centre = (- 1, - 3) and r =
= 4