Answer:
f(n)=2+4n
Step-by-step explanation:
when they are combined, there are two taken away, so we can just say that there are two added in total, and the number of grey hexagons is n, and it would be 4n because there are 2 taken away like i said earlier if that makes sense :)
Answer: I think b=5
Step-by-step explanation:
Hello :
x²+y²+4x-8y +13 = 0
(x² +4x) +(y² -8y )+13 = 0
(x²+4x+4) -4 +(y-8y +16) -16 +13 = 0
(x+2)² +(y -4)² = 7
the center is : (-2 , 4) and radius <span>√7</span>
Answer:
The slope is 3
The y-intercept is -2
The linear equation is y = 3x - 2
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
- m is the slope of the line
- The rule of the slope of a line that passes through points (x1, y1) and (x2, y2) is m =

∵ A line passes through points (2, 4) and (6, 16)
∴ x1 = 2 and y1 = 4
∴ x2 = 6 and y2 = 16
→ Substitute them in the rule of the slope above to find it
∵ m =
=
= 3
∴ m = 3
→ Substitute it in the form of the equation above
∴ y = 3x + b
→ To find b substitute x and y in the equation by the coordinates of
a point on the line
∵ Point (2, 4) is on the line
∴ x = 2 and y = 4
∵ 4 = 3(2) + b
∴ 4 = 6 + b
→ Subtract 6 from both sides to find b
∵ 4 - 6 = 6 - 6 + b
∴ -2 = b
→ Substitute its value on the equation above
∵ y = 3x + (-2)
∴ y = 3x - 2
→ Let us answer the questions
The slope is 3
The y-intercept is -2
The linear equation is y = 3x - 2
Answer: B 192
Step-by-step explanation: In the picture attached, the complete question is shown.
The humpback whale traveled 2240 miles in 28 days. This makes the following rate:
rate = distance/time = 2240/28 = 80 miles/day
The distance traveled at this rate in 32 days is:
distance = rate * time = 80*32 = 2560 miles
The gray whales traveled 2368 miles in 32 days. Then, the humpback whales would have traveled 2560 - 2368 = 192 miles more than the gray whales.