Yes this is the correct answer. The slope field shown is the differential equation dy/dx = x+y
All points along the line x+y = k, for some constant k, will have the same tangent slope k. For example, the line x+y = 0 will have every point with tangent slope 0 for the solution y(x). It may not be 100% clear, but this graph has horizontal tickmarks on the line x+y = 0, or the tickmarks are close to being horizontal. Using geogebra, I checked the others and they produced completely different graphs, which allowed me to rule them out.
Answer:
You should stick with option D
The surface area of the rectangular prism with the dimensions that are stated is: 384 in.²
<h3>What is the Surface Area of a Triangular Prism?</h3>
Surface area = perimeter of base × height of prism + 2(base area)
= (s1 + s2 + s3)L + 2(1/2bh)
Given the following:
- side of base (s1) = 6 in.
- side of base (s2) = 8 in.
- side of base (s3) = 10 in.
- Length of prism (L) = 14 in.
- Triangular base length (b) = 6 in.
- h = 8 in.
Surface area = (6 + 8 + 10)14 + 2(1/2 × 6 × 8)
Surface area = 384 in.²
Learn more about the surface area of a rectangular prism on:
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Answer:
perimeters of the rectangle=p=46.014 metres
Step-by-step explanation:
Given that:
Length (l) = 21 m
Area of rectangle(A) = 42.15 meter-square
Width (w)=?
Required data:
Perimater of Rectangle=p=?
Calculation:
As we know that Area of rectangle=A=l*w
Putting the value we get
42.15 m(square)=(21 m)*w
or w=42.15/21
or w=2.007 m
Now to find perimters of rectangle we know that
p=2(l + w) metres
putting the values
p=2(21+2.007) metres
p=2(23.007) metres
p=46.014 metres
