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Questions in mathematics

[Terjawab] The length of the hypotenuse in a right triangle is equal to the: A. Square of the sum of the two other sides (legs) B. Square root of the sum of the squares of the two other sides (legs) C. Square root of the square of the sum of the two other sides (legs) D. Sum of the squares of the two other sides (legs)

[Terjawab] $\begin{array}{l} -2 x+y=3 \\ 2 x-y=4 \end{array}$ Using elimination to solve this system results in the equation $\square$

[Terjawab] Follow the steps of this algorithm and write the final answer in the box. Step 1: Start with the number 10. Step 2: Add 5 to the number. Step 3: Multiply the result by 2. Step 4: Subtract 8 from the result. Step 5: Write down the final number. Final Answer:

[Terjawab] What is the radius of a circle whose equation is $x^2+y^2+8 x-6 y+21=0$?

[Terjawab] g) $y^7-\frac{1}{y^5}$

[Terjawab] Type the correct answer in the box. Use numerals instead of words. What is the solution of this equation? $-\frac{1}{2} n^2+18=0$ $n= \pm$

[Terjawab] Which is the exponential form of [tex]$\log _8 x=3$[/tex]? A. [tex]$3^x=8$[/tex] B. [tex]$8^3=x$[/tex] C. [tex]$x^3=8$[/tex] D. [tex]$8^x=3$[/tex]

[Terjawab] If the discriminant of a quadratic equation is equal to -8, which statement describes the roots? A. There are two complex roots. B. There are two real roots. C. There is one real root. D. There is one complex root.

[Terjawab] A general formula for a parabola is [tex]$x^2=4 p y$[/tex]. What is the value of [tex]$p$[/tex] in the equation [tex]$x^2=12 y$[/tex] ? A. [tex]$p=3$[/tex] B. [tex]$p=4$[/tex] C. [tex]$p=6$[/tex] D. [tex]$p=12$[/tex]

[Terjawab] If $f(x)=5 \sqrt{x}(x^3-3 \sqrt{x}+7)$, find $f^{\prime}(x)$. Find $f^{\prime}(1)$.