The answer would be the first choice. When you reflect a shape across the x-axis, the y coordinates of every points/vertices become of the opposite of what they usually were.
For example, the y coordinate in (1, -5) {{-5 being the y coordinate) once reflected upon the x axis would be (1, 5).
On the other hand, if the y coordinate were positive it would become negative.
Answer:
34.3 in, 36.3 in
Step-by-step explanation:
From the question given above, the following data were obtained:
Hypothenus = 50 in
1st leg (L₁) = L
2nd leg (L₂) = 2 + L
Thus, we can obtain the value of L by using the pythagoras theory as follow:
Hypo² = L₁² + L₂²
50² = L² + (2 + L)²
2500 = L² + 4 + 4L + L²
2500 = 2L² + 4L + 4
Rearrange
2L² + 4L + 4 – 2500 = 0
2L² + 4L – 2496 = 0
Coefficient of L² (a) = 2
Coefficient of L (n) = 4
Constant (c) = –2496
L = –b ± √(b² – 4ac) / 2a
L = –4 ± √(4² – 4 × 2 × –2496) / 2 × 2
L = –4 ± √(16 + 19968) / 4
L = –4 ± √(19984) / 4
L = –4 ± 141.36 / 4
L = –4 + 141.36 / 4 or –4 – 141.36 / 4
L = 137.36/ 4 or –145.36 / 4
L = 34.3 or –36.3
Since measurement can not be negative, the value of L is 34.3 in
Finally, we shall determine the lengths of the legs of the right triangle. This is illustrated below:
1st leg (L₁) = L
L = 34.4
1st leg (L₁) = 34.3 in
2nd leg (L₂) = 2 + L
L = 34.4
2nd leg (L₂) = 2 + 34.3
2nd leg (L₂) = 36.3 in
Therefore, the lengths of the legs of the right triangle are 34.3 in, 36.3 in
Recognize that both 0.96 and 0.144 are divisible by 12:
(0.96/12) / (0.144/12) = 0.08 / 0.012. This reduces to 0.02 / 0.003, or
20/3 or approx. 6.666.
You could also begin by eliminating the decimal fractions. Mult. 0.96 and 0.144 each by 1000 results in 960/144.
Since both 960 and 144 can be divided evenly by 24, we get 40 and 6.
40/6 = 20/3, or approx. 6.666, as before.
The original side length is given as 3.00
Multiply the original length by the scale factor:
3.00 x 0.75 = 2.25
The answer is B. 2.25 cm
Answer:
b) Circle
Step-by-step explanation:
<em>All</em> of the conic sections have vertices and foci. These features are not usually talked about for a circle, so perhaps "circle" is the expected answer.
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A circle is a special case of ellipse with eccentricity 0. Its foci are coincident at its center, and its vertices are the ends of any pair of perpendicular diameters.
