<h3>
Answer: y = (3/4)x + 13/4</h3>
This is the same as writing y = 0.75x + 3.25
slope is 3/4 = 0.75
y intercept is 13/4 = 3.25
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Explanation:
One marked point on this line is (-3,1)
Another point is at (1,4)
Let's find the slope of the line through these two points.
m = (y2-y1)/(x2-x1)
m = (4-1)/(1-(-3))
m = (4-1)/(1+3)
m = 3/4
m = 0.75
Now let's use point slope form to find the equation of the line
y - y1 = m(x - x1)
y - 1 = 0.75(x - (-3))
y - 1 = 0.75(x + 3)
y - 1 = 0.75x + 2.25
y = 0.75x + 2.25 + 1
y = 0.75x + 3.25
If you wanted, you can convert those decimal values to fraction form
- 0.75 = 75/100 = 3/4
- 3.25 = 325/100 = 13/4
That means the equation
y = 0.75x + 3.25
is the same as
y = (3/4)x + 13/4
Answer:
1/3 is a rational number
Step-by-step explanation:
Answer:
26.6 but that is not one of yor answers...
I think you have a typo in "A"
I think that your have a typo in the answers
x/sin(40) = 32/sin(90)
x = 26.6
Step-by-step explanation:
Answer:
- 525 = (w+4)(w)
- 21 ft by 25 ft
Step-by-step explanation:
Let w represent the width of the floor. Then the length of the floor is (w+4) and its area is ...
A = LW
525 = (w+4)(w)
w^2 +4w -525 = 0
(w -21)(w +25) = 0 . . . . factor the above
Solutions are ...
w = 21, w = -25
We are interested in the positive solution: w = 21.
The floor is 21 feet wide and 25 feet long.
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<em>Alternate solution</em>
Sometimes, when the factors aren't obvious, it works well to write an equation for the average of the dimensions. Here, we can represent that with x, and use (x-2) for the width, and (x+2) for the length. Then we have ...
525 = (x-2)(x+2) = x^2 -4
529 = x^2
√529 = 23 = x
Then w=23 -2 = 21, and the length is w+4 = 25.