Answer:
Step-by-step explanation:
1. Since this is a Dilation with a scale factor of 4 (D4) let's plot the triangle TUV.
Check the picture 1
2. The Center of Dilation of this transformation is at the center. But the transformation is given by a scale factor of 4 and adding to (-3,1)
So,
3. Back to the graph to visualize this transformation a Dilation, an enlargement and the transformation combined.
In this item, we are to determine the equation that would allow us to express the given. If x is the number of barrels of water and y is weight, the points are:
(10, 98.4) and (20, 181.8)
To determine the equation of the line, we use,
y - y₁ = ((y₂ - y₁)/(x₂ - x₁))(x - x₁)
Substituting,
y - 98.4 = ((181.8 - 98.4)/ (20 - 10))(x - 10)
Simplifying,
y = 8.27x + 88.4
Answer:
3.5 miles
Step-by-step explanation:
The actual choices and question is as attached. Since it's shown in a mixed fraction as 
then we convert the number to decimal. \frac {1}{2} will be 1 divided by 2 which is 0.5 hence the distance to Cascade Falls is 3.5 miles
I'm assuming you want the total surface area.
This is a trapezoidal prism. The bases are the parallel faces running horizontal (parallel to the ground) and they are congruent trapezoids. The lateral sides are rectangles.
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Lateral Faces:
The back face (hidden from view) is a rectangle that is 12 inches by 3 inches, so it has an area of 12*3 = 36 sq inches
The front slant faces on the left and right are each 3*5 = 15 sq inches in area
The front center lateral face has area of 6*3 = 18 sq inches
The total lateral surface area is 15+18+15+36 = 84 sq inches
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The bases are each the same trapezoid. The trapezoid has two parallel sides of 12 and 6 inches. Call this b1 and b2. The height of the trapezoid is h = 4. Imagine the trapezoid is laid flat in a 2D perspective instead of a 3D one.
The area of one trapezoid is...
A = h*(b1+b2)/2
A = 4*(12+6)/2
A = 4*(18)/2
A = 72/2
A = 36
So the area of both base faces combined is 2*36 = 72
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The total surface area is then found by adding the total lateral surface area (84) and the total base area (72) to get 84+72 = 156
Final Answer: 156 square inches
