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Rashid [163]
3 years ago
6

25 POINTS! What is the distance between the points (2, 3) and (5, -4)? (XY AXIS)

Mathematics
2 answers:
JulijaS [17]3 years ago
8 0
A=(2,3)\qquad\qquad B=(5,-4)\\\\\\d(A,B)=\sqrt{(5-2)^2+(-4-3)^2}=\sqrt{3^2+(-7)^2}=\sqrt{9+49}=\\\\=\boxed{\sqrt{58}\approx7.61}
Finger [1]3 years ago
4 0
The distance could be calculated as follows:
d = \sqrt{ (5-2)^{2}  +  (-4-3)^2}  }
d = \sqrt{ 3^{2} + (-7)^{2}
d = \sqrt{58}
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Step-by-step explanation:

f(x) = a(x - h)² + k      - the  vertex form of the equation of the parabola with vertex (h, k)

f(x) = -16x^2+ 64x + 80\\\\f(x) = -16(x^2- 4x) + 80\\\\f(x) = -16(\underline {x^2-2\cdot2x\cdot2+2^2}-2^2) + 80\\\\f(x) = -16\big[(x-2)^2-4\big] + 80\\\\f(x) = -16(x-2)^2+64 + 80\\\\\bold{f(x)=-16(x-2)^2+124\quad\implies\quad h=2\,,\quad k=124}

<u>The vertex is </u><u>(2, 124)</u>

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