Answer:
Step-by-step explanation:
The motorist drove at a distance of 90km at a constant speed for the first 40km, and then 20 km/hr faster for the rest of the journey.
The whole journey took him 1hr.
Let S denotes the average speed (in km/hr) for the first 40 km.
Hence we get the following relation,
40/S + (90 - 40)/(S + 20) = 1
or 50/(S + 20) = 1 - 40/S = (S - 40)/S
or (S + 20)(S - 40) = 50S or S^2 - 70S - 800 = 0 or (S - 80)(S + 10) = 0
or S = 80 (km/hr) [Ans]
[S cannot be negative value]
The area of the composite figure = 10,874.1 sq. m.
The perimeter of the composite figure = 406.9 m
<h3>What is the Area and Perimeter of a Rectangle and Circle?</h3>
Perimeter of a rectangle = 2(length + width)
Area of a rectangle = length × width
Perimeter of a circle = 2πr
Area of a circle = πr²
<h3>
What is Area of the
composite figure?</h3>
The figure is made up of two semicircles (1 full circle) and a rectangle.
Area of the composite figure = area of circle + area of rectangle
= πr² + length × width
r = 36.5 + 1.2 = 37.7 m
length = 85.0 m
width = 2(36.5) + 2(1.2) = 75.4 m
Substitute
Area of the composite figure = π(37.7)² + 85.0 × 75.4 = 10,874.1 sq. m.
<h3>
What is Perimeter of the
Composite Figure?</h3>
Perimeter of the composite figure = perimeter of circle + 2(length of the rectangle)
= 2πr + 2(L)
Plug in the values
= 2π(37.7) + 2(85.0)
Perimeter of the composite figure = 406.9 m
Learn more about composite figures on:
brainly.com/question/391747
-1(18+4x)=8
Then you distribute
-18-4x=8
-4x=26
X= -6.5
Answer:
Step-by-step explanation:
Is this graphing? If so, remember the formula: y=mx+b
If it's y=-1/3x+1, then 1 is your slope intercept
Place the dot on your graph where 1 is on your y-intercept.
Graphing -1/3x is just like rise over run, positives go up then right, (If 1/3 was graphed you would go 1 pixel up then 3 to the right.)
Since -1/3x is a negative, you're going down 1, left 3. It should give you a line that is coming from the top of the graphing box to the bottom.
If you want, create a table for x and y. If 0 was your x, then your y is 1, this is because theres a +1 in your equation.
If 3 was your x, then your y would be 0, because -1/3(3) + 1 is 0.
