<span>First of all, there should be coherence for the units of measurement -- either they are all meters or they are all ft. I would assume they are all ft.
The correct answer is 75 ft above. T
The explanation is the following: suppose the ground level is the x-axis, the 2 feet of the arch lie respectively on (0,0) and (100,0) on the ground level. Since the arch is 100ft high, the vertex of the parabola will be the point (100,100). Thus, we can find the equation describing the parabola by putting the three points we know in a system and we find that the equation of the parabola is y=(-1/100)x^2+2
To find the focus F, we apply the formula for the focus of a vertical axis parabola, i.e. F(-b/2a;(1-b^2+4ac)/4a).
By substituting a=-1/100, b=2 and c=0 into the formula, we find that the coordinates of the focus F are (100,75).
So we conclude that the focus lies 75ft above ground.</span>
Answer:
(3, 3) × 13 = (39, 39)
(0, 3) × 13 = (0, 39)
(6, -6) × 13 = (78, -78)
(9, 6) × 13 = (117, 78)
Step-by-step explanation:
Because the center of dilation is at (0, 0), or the origin, we can just multiply the x and y values of each point by the scale factor of 13.
(3, 3) × 13 = (39, 39)
(0, 3) × 13 = (0, 39)
(6, -6) × 13 = (78, -78)
(9, 6) × 13 = (117, 78)
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Answer and Step-by-step explanation:
Since we know that lines <em>l</em> and <em>m</em> are parallel (we are just proving that they are parallel), we can see that the two angles given are corresponding angles, so they are congruent to each other.
123 = 2x + 7
<u>Subtract 7 from both sides.</u>
116 = 2x
<u>Now, divide both sides by 2.</u>
58 = x
<u>So, the value of x is 58.</u>
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<em><u>#teamtrees #PAW (Plant And Water)</u></em>