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Which line has a slope of -5/8 and goes through the point (2,-3)
1 answer:
Answer: y = -5x/3 - 7/4
Step-by-step explanation:
The equation of a line in slope and point form is given as
y - = m(x -
)
where m is the slope
= 2
= -3
m = -5/8
Substituting into the formula , we have
y - ( -3 ) = -5/8 ( x - 2 )
y + 3 = -5x/8 + 5/4
This could also be written in slope - intercept form , that means we will make y the subject of the formula
y = -5x/8 + 5/4 - 3
y = -5x/3 - 7/4
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<em>The length of the square that has the same perimeter as the rectangle is of length 6cm and area of 48cm² is 7cm</em>
<h2>Explanation:</h2>Let's call:
From the question, we know that:
- <em>A rectangle and a square have the same perimeter.</em>
So:
Moreover:
- <em>The rectangle is of length 6cm and has an area of 48cm²</em>
Accordingly:
Also:
From the statement of perimeters:
Finally, <em>the length of the square that has the same perimeter as the rectangle is of length 6cm and area of 48cm² is 7cm</em>
<h2>Learn more:</h2>Perimeter: brainly.com/question/9969486
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Answer:
see below
Step-by-step explanation:
-33, -27, -21, -15,....
-33 +6 = -27
-27+6 = -21
-21+6 = -15
This is an arithmetic sequence
The common difference is +6
explicit formula
an=a1+(n-1)d where n is the term number and d is the common difference
an = -33 + ( n-1) 6
an = -33 +6n -6
an = -39+6n
recursive formula
an+1 = an +6
10th term
n =10
a10 = -39+6*10
= -39+60
=21
sum formula
see image
The sum will diverge since we are adding infinite numbers
