Answer:
Step-by-step explanation:
Question 1
The point-slope formula for a straight line is
y – y₁ = m(x – x₁)
x₁ = 3; y₁ = -5; m = -4
Substitute the values
The diagram shows the graph of equation 1 (red) with slope -4 passing through (3,-5).
Question 2
x₁ = -1; y₁ = 8; m = 1
Substitute the values
The diagram shows the graph of equation 2 (green) with slope 1 passing through (-1,8).
Answer:
The rule of the arithmetic sequence is 13 - 2n
The 30th term is -47
Step-by-step explanation:
∵ f(n) = 11 and g(n) = -2(n - 1) = -2n + 2
∴ f(n) + g(n) = 11 + -2n + 2 = 13 - 2n
Use n = 1 , 2 , 3 , 4 to check the type of the sequence
∵ n = 1 ⇒ 13 - 2(1) = 11
∵ n = 2 ⇒ 13 - 2(2) = 13 - 4 = 9
∵ n = 3 ⇒ 13 - 2(3) = 13 - 6 = 7
∵ n = 4 ⇒ 13 - 2(4) = 13 - 8 = 5
∵ 11 , 9 , 7 , 5 is an arithmetic sequence with difference -2
∴ The rule of the arithmetic sequence is 13 - 2n
∴ The 30th term = 13 - 2(30) = -47
i work at my uncle’s restaurant but idr work
Answer:
NO. Alex was wrong.
The total dive distance is 21 + 17 = 38 feet
Step-by-step explanation:
Alex was wrong because his direction of diving is from above the water through the surface of the water to under the water.
So his direction of travelling is not opposite but the same.
Therefore the total distance traveled by Alex = distance traveled from the diving board to the water surface + distance traveled from the water surface to down below the water
Distance traveled from the diving board to the water surface = 21 feet
Distance traveled from the water surface down below the water = 17 feet
Total distance traveled by Alex = 21 feet + 17 feet
= 38 feet.
Thus, Alex was wrong because the the total distance traveled by Alex was 38 feet.
Answer:
A. 10 B. 15
Step-by-step explanation:
A. 25/1 * 2/5= 50/5
reduced it is 10
B. 25-10=15
