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Problem 65

Solve. $$\sqrt{x-3}+\sqrt{x+2}=5$$

Problem 65

Simplify. Write answers in the form \(a+b i,\) where \(a\) and \(b\) are real numbers. $$\frac{3}{5-11 i}$$

Problem 66

Simplify. Write answers in the form \(a+b i,\) where \(a\) and \(b\) are real numbers. $$\frac{i}{2+i}$$

Problem 66

Solve. $$\sqrt{x}-\sqrt{x-5}=1$$

Problem 66

Fill in the blank with the correct term. Some of the given choices will not be used. distance formula, midpoint formula, function, relation, \(x\) -intercept, y-intercept, perpendicular, parallel ,horizontal lines, vertical lines,symmetric with respect to the \(x\) -axis, symmetric with respect to the \(y\) -axis, symmetric with respect to the origin, increasing, decreasing, constant The ___ is \(d=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}\)

Problem 67

Simplify. Write answers in the form \(a+b i,\) where \(a\) and \(b\) are real numbers. $$\frac{5}{2+3 i}$$

Problem 67

Solve. $$\sqrt{3 x-5}+\sqrt{2 x+3}+1=0$$

Problem 67

Fill in the blank with the correct term. Some of the given choices will not be used. distance formula, midpoint formula, function, relation, \(x\) -intercept, y-intercept, perpendicular, parallel ,horizontal lines, vertical lines,symmetric with respect to the \(x\) -axis, symmetric with respect to the \(y\) -axis, symmetric with respect to the origin, increasing, decreasing, constant \(\mathrm{A}(\mathrm{n})\)_____ is a correspondence such that each member of the domain corresponds to at least one member of the range.

Problem 68

Simplify. Write answers in the form \(a+b i,\) where \(a\) and \(b\) are real numbers. $$\frac{-3}{4-5 i}$$

Problem 68

Solve. $$\sqrt{2 m-3}=\sqrt{m+7}-2$$

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