Plssplsplsplspls answer fast bc its a map and I can't wait for way too long
2 answers:
Answer:
Part A: 1
Part B: -4
Step-by-step explanation:
In a coordinate , the x-coordinate represents the input of a function and the y-coordinate represents the output.
Part A:
We're looking for the point the line passes through with an x-coordinate (input) of -3. This point is (-3,1) and therefore the output is 1 when the input is -3.
Part B:
We're looking for the point the line passes through with a y-coordinate (output) of 2. This point is (-4,2) and therefore an input of -4 yields an output of 2.
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Answer:
The size of the cardboard should be
Step-by-step explanation:
The diagram for this question is shown on the first uploaded image
The volume of the box is
The length and the Width of the card is
L = W = Z
From the question we are told that 7 in squares were cut from each corner
So the length and the width of the box would be
L = W = (Z - 7)
And the height would be H = 7 in
Mathematically the volume of the box can be represented as
So the Volume would be
Substituting values
=>
The given sequence is
a₁, a₂, ...,
Because the given sequence is an arithmetic progression (AP), the equation satisfied is
where
d = the common difference.
The common difference may be determined as
d = a₂ - a₁
The common difference is the difference between successive terms, therefore
d = a₃ - a₂ = a₄ - a₃, and so on..
The sum of the first n terms is
Example:
For the arithmetic sequence
1,3,5, ...,
the common difference is d= 3 - 1 = 2.
The n-th term is
For example, the 10-term is
a₁₀ = 1 + (10-1)*2 = 19
Th sum of th first 10 terms is
S₁₀ = (10/2)*(1 + 19) = 100
a₁, a₂, ...,
Because the given sequence is an arithmetic progression (AP), the equation satisfied is
where
d = the common difference.
The common difference may be determined as
d = a₂ - a₁
The common difference is the difference between successive terms, therefore
d = a₃ - a₂ = a₄ - a₃, and so on..
The sum of the first n terms is
Example:
For the arithmetic sequence
1,3,5, ...,
the common difference is d= 3 - 1 = 2.
The n-th term is
For example, the 10-term is
a₁₀ = 1 + (10-1)*2 = 19
Th sum of th first 10 terms is
S₁₀ = (10/2)*(1 + 19) = 100