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Alisiya [41]
3 years ago
13

Finding the Vertex What is the vertex of the quadratic function f(x) = (x – 8)(x – 2)? (,) ​

Mathematics
1 answer:
boyakko [2]3 years ago
3 0

Answer:

<h3>           vertex = (h, k) = (5, -9)</h3>

Step-by-step explanation:

f(x) = (x-8)(x-2)\quad\implies\quad x_1=8\,,\ \ x_2=2\\\\ h=\dfrac{x_1+x_2}2=\dfrac{8+2}2=5\\\\k=f(h)=(5-8)(5-2)=-3\cdot3=-9

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<h2>\large\mathfrak{{\pmb{\underline{\red{Given}}{\red{:}}}}}</h2>
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  • ∠USV = 20°

<h2>\large\mathfrak{{\pmb{\underline{\color{red}{To~find}}{\color{red}{:}}}}}</h2>
  • The value of x

<h2>\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}</h2>
  • ∠RSU and ∠USV are complementary angles

\sf\implies{ \angle RSU + \angle USV = 90 \degree }

\sf\implies{ (4x-15) + 20 = 90 }

\sf\implies{ 4x-15+20=90}

\sf\implies{4x+5=90}

\sf\implies{4x=90-5}

\sf\implies{4x=85}

\sf\implies{x={\dfrac{85}{4}}}

\sf\implies{ {\orange{\underline{\boxed{\sf{\pmb{x=21.25}}}}}}}

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5 0
3 years ago
The team practices 5.040
ikadub [295]

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8 0
3 years ago
How do you divide scientific notation problems like this: 0.00053 ÷ 29?
Shtirlitz [24]
You got to remember
\frac{x^m}{x^n}=x^{m+n}

first write them in scienfitic notation
0.00053=5.3*10^{-4}
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so
\frac{0.00053}{29}=
\frac{(5.3)(10^{-4})}{(2.9)(10^1)}=
(\frac{5.3}{2.9})(\frac{10^{-4}}{10^1}=
(1.8275862068965517241379310344828)(10^{-4-1})=
(1.8275862068965517241379310344828)(10^{-5})=
1.8275862068965517241379310344828*10^{-5}

that's the answer
5 0
4 years ago
The dimensions of prism B are 3 times the dimensions of prism A. The volume of prism A is 384cm cubed.
Anton [14]
The volume of prism B is 1,152
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3 years ago
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gavmur [86]

Answer:

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x=-5

8 0
3 years ago
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