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Algebra Archive: Questions from March 22, 2023

• calcular el radio de una circunferencia sabiendo que tiene un perimetro de 25.13
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• Hallar la ecuacion de la hiperbola que tiene focos en (-2,-4) y (8,-4) y vertices en (2,-4) y (4,-4)
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• Find all y ∈ R which satisfy y ^(2 − 1) / y ^(2 + 1) < 1.
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  Solve for \( x \) and \( y \). \[ \left[\begin{array}{cc} 3 & 2 \\ -2 & 6 \end{array}\right]\left[\begin{array}{cc} x & 5 \\ y & -6 \end{array}\right]=\left[\begin{array}{cc} 12 & 3 \\ 14 & -46 \end{a
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• deo ion for all values of x. 2x(7x+1)(9x^(2)-25)=0
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• (2x ^ (3/2) * y ^ (2/3) - 6xy)/(x * y ^ (1/3) - 3x ^ (1/2) * y ^ (2/3)) simply:(2x ^ (3/2) * y ^ (2/3) - 6xy)/(x * y ^ (1/3) - 3x ^ (1/2) * y ^ (2/3))
  2 answers
• 611
  Let \( \vec{x}=\left[\begin{array}{r}-5 \\ -3 \\ -1\end{array}\right] \) and \( \vec{y}=\left[\begin{array}{r}-4 \\ -5 \\ 4\end{array}\right] \). Then \( \vec{x} \cdot \vec{y}= \)
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• 1/2log4(y+4) + 1/2log4(y-4)=log4(3) Determine the roots.
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  Masimlar \[ 2+-5 x 1+5 x 2+13 x 3 \] Dade \[ \begin{array}{l} -x 1+x 2+1 x 3 \leq 29 \\ 12 x 1+4 x 2+10 x 3590 \end{array} \] Y \[ \text { ii } 20 \quad i j=1,2.3 \mathrm{j} \] If permitimos que \( x
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• Page 8 of 10 El producto de dos enteros consecutivos es 90. Halla los enteros.
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• Estudia si los valores indicados son soluciones de las ecuaciones. a. 2(x + 1) - 3 = 4x + 9; x = - 5
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  Let \( A=(-7,9), B=(-6,-5), C=(x, 8) \) and \( D=(-1, y) \). Find \( x \) and \( y \) if \( \vec{u}=\overrightarrow{\mathrm{AB}}, \vec{v}=\overrightarrow{\mathrm{CD}} \) and \( \vec{u}+\vec{v}=\left(\
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  If \( A=(x, 4), B=(9, y) \), and \( \vec{v}=\left(\begin{array}{c}6 \\ -2\end{array}\right) \), find \( x \) and \( y \) so that \( \overrightarrow{\mathrm{AB}}=\vec{v} \). a) \( x=2, y=15 \) b) \( x=
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  Let \( A=(-9,-4), B=(7,0), C=(x,-1) \) and \( D=(1, y) \). Find \( x \) and \( y \) if \( \vec{u}=\overrightarrow{\mathrm{AB}}, \vec{v}=\overrightarrow{\mathrm{CD}} \) and \( \vec{u}+\vec{v}=\left(\be
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• olve for all real values of x. x^(2)-10=0
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• Remember: For any real number x |x|=x if x>=0 |x|=-x if x<0
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• nd use fundamental trigono (sin(w)+cos(w))^(2)
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