ill give the brain my duuudes plot the x- and y-intercept to graph this equation y=-1/2x-3. plz plot on graph :))
2 answers:
Answer: Check out the attached image below for the x and y intercepts, along with the line that goes through the two points.
To find the y intercept, plug in x = 0 and simplify
y = (-1/2)*x - 3
y = (-1/2)*0 - 3
y = 0 - 3
y = -3
In short, the y intercept is simply the constant at the end as the variable term goes away when x = 0. This is represented by the point (0,-3) as shown in red in the attached image below. This is where the graph crosses the y axis.
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To get the x intercept, we do the opposite as before. We plug in y = 0 and solve for x
y = (-1/2)*x - 3
0 = (-1/2)*x - 3
3 = (-1/2)*x
(-1/2)*x = 3
x = -2*3
x = -6
When x = -6, y = 0. So the x intercept is the point (-6,0) as shown as the blue point in the attached image below.
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Answer:
The length of the track is 247 m.
The area enclosed by the track is 5391 . 76 sq m.
Step-by-step explanation:
The length of the rectangle = 88 m
The width of the rectangle = 44 m
Now, as we know the semicircles are at the end of rectangular track.
So, the diameter of semicircles = Width of the rectangle
⇒ The diameter of the semi circle = 44 m
⇒Radius of the semi circle = 44/2 = 22 m
TOTAL LENGTH OF TRACK
= 2 ( Length of rectangle) + 2 (Circumference of 1 semicircle)
= 2 x (88 m) + 2 ()
= 176 m + 2 (3.14)(22 m) = 176 + 71.08 = 247 m
Hence, the length of the track is 247 m
TOTAL AREA OF TRACK
= (Area of rectangle) + 2 (Area of 1 semicircle)
= (Length x Width) + 2 ()
= (44 m x 88 m) + (3.14)(22 m)(22 m) = (3872 + 1519.76) sq m
= 5391 . 76 sq m
Hence, the area enclosed by the track is 5391 . 76 sq m.