Answer: m = 0
Step-by-step explanation:
Slope (m) = y2 - y1/,x2 - x1 : meaning increase in y divided by increase in x . it can also be written as ∆y/∆x
y1= 1, y2 = 1, x1 = 7, x2 = -2
Substitute for those values in the equation above
m = 1 -1/-2 - 7
= 0/-9
Therefore,
m = 0
The slope of the line passing through those coordinates = 0
You will find the area of the 5 surfaces made of glass. There is a front, back, 2 sides, and the bottom. Each face is in the shape of a rectangle, so you will multiply the length by the width.
1. Front- 24 x 27 =648
Back-24 x 27 = 648
2. Side- 21 x 27 =567
Side - 21 x 27 = 567
3. Bottom - 21 x 24 = 504
Add all these together for your total amount of glass needed. The answer is 2934 square cm of glass.
The slope is 0 so it's a horizontal line parallel to the x-axis. All the values of y are the same. The line passes through the point (1,8), so y=8.
Answer:
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Solve:
"<span>twice the number minus three times the reciprocal of the number is equal to 1."
3(1)
Let the number be n. Then 2n - ------- = 1
n
Mult all 3 terms by n to elim. the fractions:
2n^2 - 3 = n. Rearranging this, we get 2n^2 - n - 3 = 0.
We need to find the roots (zeros or solutions) of this quadratic equation.
Here a=2, b= -1 and c= -3. Let's find the discriminant b^2-4ac first:
disc. = (-1)^2 - 4(2)(-3) = 1 + 24 = 25.
That's good, because 25 is a perfect square.
-(-1) plus or minus 5 1 plus or minus 5
Then x = ------------------------------ = --------------------------
2(2) 4
x could be 6/4 = 3/2, or -5/4.
You must check both answers in the original equation. If the equation is true for one or the other or for both, then you have found one or more solutions.</span>
