Answer:
Explicit: a₁=61 aₙ=a₁ -3ₓ(n-1)
Recursive: a₁=61 aₙ=aₙ₋₁ - 3
Step-by-step explanation:
Explicit: a₁=61 aₙ=a₁ -3ₓ(n-1)
Recursive: a₁=61 aₙ=aₙ₋₁ - 3
Answer: idk
Step-by-step explanation:
idk
Answer:
{-8,28}
Step-by-step explanation:
|10-x|=18
The absolute value has two solutions, one positive and one negative.
10-x = 18 and 10-x = -18
Subtract 10 from each side
10-10-x = 18-10 10-10-x=-18-10
-x = 8 -x = -28
Multiply each side by -1
x = -8 x = 28
Given:
Michelle plans on raising $80.
Selling price of each shirt = $10
So far she has raised $20.
To find:
The number of more shirts she needs to sell.
Solution:
Let x be the number of more shirts she needs to sell.
Selling price of one shirt = $10
Selling price of x shirt = $10x
Total raising amount = $(10x + 20)
Michelle plans on raising $80. So,
Subtract both sides by 20.
Divide both sides by 10.
So, the required equation is
Therefore, the correct option is A.
Answer:
DE ≈ 14.91
Step-by-step explanation:
Make use of the relationships between sides and angles in a right triangle. These are summarized by the mnemonic SOH CAH TOA:
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
Tan = Opposite/Adjacent
__
The side DE is opposite the angle 19°, so the sine or tangent relation will be involved. The sine relation requires you know hypotenuse EF. The tangent relation requires you know adjacent side DF.
The only common side between triangles CDF and DEF is side DF. That side is opposite the given 61° angle. The given side length (CF = 24) is adjacent to the 61° angle.
This means you have enough information to use these relations:
tan(61°) = DF/CF = DF/24
DF = 24·tan(61°)
and
tan(19°) = DE/DF
DE = DF·tan(19°) = (24·tan(61°))·tan(19°) . . . . . use DF from above
DE ≈ 24(1.804048)(0.344328) ≈ 14.908
The length of DE is about 14.91.
