Identify each expression with a sum of x2 + 3x +1.
1 answer:
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From this picture you can calculate coordinates of triangles' vertices:
.
Since
you can conclude that points A, B, C are rotated by
about the point (-0.5,0) to form points J, G, H, respectively.
Answer: A is correct choice.
Since
you can conclude that points A, B, C are rotated by
Answer: A is correct choice.
Complete question is;
A park has a 3 meter tall tether ball pole and a 6.8 m tall flagpole. The lengths of their shadows are proportional to their heights.
Which of the following could be the lengths of the shadows?
Choose 2 answers from the options attached.
Answer:
Options B & D
Step-by-step explanation:
From the question, the proportional relationship between the height and shadow length is a direct proportionality. This means that an increase in the height, leads to an increase in the length of shadow and vice versa. Thus, the height to shadow length ratio is a constant.
Now, if we use x and y to denote length of shadow of tether ball pole and length of flagpole receptively, we will have;
3/x = 6.8/y
Let's make y the subject.
y = 6.8x/3
Looking at the options;
Option A: When x = 1.35 m, we have;
y = (6.8 × 1.35)/3 = 3.06 m
For Option B:
When x = 1.8 m,
y= (6.8 × 1.8)/3 = 4.08 m
For Option C:
When x= 3.75 m,
y = (6.8 × 3.75)/3 = 8.5 m
For option D:
When x = 0.6
y = (6.8 × 0.6)/3 = 1.36 m
For option E;
When x = 2,
y = (6.8 × 2)/3 = 4.533 m
From our calculations, the only values of y that correspond with the given value of y in the options are Options B & D
Answer:
32 ft²
Step-by-step explanation:
Assuming the diagram attached below similar to the one required to complete the question below.
From the diagram,
Actaul Area of a parallelogram (A) = Actual Base(b)× actual heigth(h)
A = bh.......................... Equation 1
From the question,
If each 6 in on the scale drawing equals 3 feet
Given:
base on the scale drawing = 8 in.
Actual base(b) = (8×3)/6 = 4 feet.
Height on the scale drawing = 16 in
Actual height(h) = (16×3)/6 = 8 feet.
Substitute these values into equation 1
A = 4×8
A = 32 ft²
Hence the actual area of the shape is 32 ft²
