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uranmaximum [27]
3 years ago
10

What is the value of x?

Mathematics
1 answer:
Sergeu [11.5K]3 years ago
4 0

Answer:

1

Step-by-step explanation:

since both the triangles are Congruent

Side BC = side FE

13x - 12 = 7x - 6

13x - 7x = -6 +12

6x = 6

x = 6/6

x = 1

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dsp73

Answer:

\large\boxed{1.\ f(6)=5\ or\ f(6)=20}\\\boxed{2.\ d=5}\\\boxed{3.\ vertex=(-3,\ -1)}

Step-by-step explanation:

1.\\\text{Put x = 6 to the equation of a function}\ f(x):\\\\\text{If}\ f(x)=\dfrac{1}{2}x+x-4\to f(6)=\dfrac{1}{2}(6)+6-4=3+6-4=5\\\\\text{If}\ f(x)=\dfrac{1}{2}x^2+x-4\to f(6)=\dfrac{1}{2}(6^2)+6-4=\dfrac{1}{2}(36)+2=18+2=20\\\\2.\\\text{The formula of a distance between two points:}\\\\d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\\text{We have the points (2, -4) and (5, -8). Substitute:}\\\\d=\sqrt{(5-2)^2+(-8-(-4))^2}=\sqrt{3^2+(-4)^2}=\sqrt{9+16}=\sqrt{25}=5

3.\\\text{The vertex formula of a parabola:}\\\\y=a(x-h)^2+k\\\\(h,\ k)-vertex\\\\\text{We have}\ y=(x+3)^2-1=(x-(-3))^2-1\\\\\text{Therefore the vertex is:}\ (-3,\ -1).

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3 years ago
What is 6.9 to the nearest 10th
Dvinal [7]
The number 6.9 is already rounded to the nearest tenth.
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4 years ago
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