Mathematics Questions and Answers

What is the distance between the following points? $y$ $-3-2$ $\downarrow 1234567$

Which points in the graph are in Quadrant III? A. A, D, F, L B. E, N C. E, F, H, N D. P, B, K | **Group** | **Group** | **Mean** | **SD** | **Mean** | **SD** | | --- | --- | --- | --- | --- | --- | | A | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | B | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | C | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | D | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | E | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | F | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | G | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | H | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | I | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | J | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | K | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | L | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | M | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | N | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | O | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | P | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | R | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | S | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | T | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | U | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | V | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | W | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | X | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | Y | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | Z | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | Z | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | Z | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | Z | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | Z | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | Z | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | Z | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | | | 1.0 | 0.0 | 1.0 | 0.0 | | Z | | 1.0 | 0.0 | 1.0 | 0.0 | | | 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# mine the equation of the circle graphed below.

What is the value of m? 10 30 70 150 $$ \begin{aligned} & \text { M } \\ & \text { (2m + 10) } \end{aligned} $$

Finding slope of a line without points $$ A y $$

Which table shows positive correlation? | $\boldsymbol{x}$ | $\boldsymbol{y}$ | | :--: | :--: | | 1 | 15 | | 2 | 12 | | 3 | 14 | | 4 | 11 | | 5 | 18 | | $\boldsymbol{x}$ | $\boldsymbol{y}$ | | :--: | :--: | | 1 | 11 | | 2 | 13 | | 3 | 15 | | 4 | 17 | | 5 | 19 | | $\boldsymbol{x}$ | $\boldsymbol{y}$ | | :--: | :--: | | 1 | 18 | | 2 | 16 | | 3 | 14 | | 4 | 12 | | 5 | 11 |

What is the measure of $$ \angle T $$, rounded to the nearest degree? | 22° | 33° | 43° | 68° | | --- | --- | --- | --- | | | | | |

What is the median of this data set? # Shield Darter # Number of Shiled Darter

Triangle Inequality Theorem 2 (Aa → Ss) - if one angle of a triangle is larger than a second angle, then the side opposite the first angle is longer than the side opposite the second angle. Example: Figure 2 shows a triangle with angles of different measures. List all sides of Figure 2 in ascending order. Solution: By the Triangle Inequality Theorem 2, *R* is a largest angle, that follows the opposite side QS is the longest side. Also, since *Q* is the smallest angle, then the opposite side *R* is the shortest side. Hence, *R*S-QR-QS.

# What is the measure of angle - $$20^\circ$$ - $$50^\circ$$ - $$60^\circ$$ - $$130^\circ$$ Save and Exit

# Directions: Find the value of each variable.

Use the formula m= y2-y1/x2-x1 to calculate the slope of the line. | N | | | | | | | | | | | | | | | | | | | | | | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | p | | | | | | | | | | | | | | | | | | | | | | | p | | | | | | | | | | | | | | | | | | | | | | | p | | | | | | | | | | | | | | | | | | | | | | | p | | | | | | | | | | | | | | | | | | | | | | | p | | | | | | | | | | | | | | | | | | | | | | | p | | | | | | | | | | | | | | | | | | | | | | | p | | | | | | | | | | | | | | | | | | | | | | | p | | | | | | | | | | | | | | | | | | | | | | | p | | | | | | | | | | | | | | | | | | | | | | | p | | | | | | | | | | | | | | | | | | | | | | | p | | | | | | | | | | | | | | | | | | | | | | | p | | | | | | | | | | | | | | | | | | | | | | | p | | | | | | | | | | | | | | | | | | | | | | | p | | | | | | | | | | | | | | | | | | | | | | | p | | | | | | | | | | | | | | | | | | | | | | | p | | | | | | | | | | | | | | | | | | | | | | | p | | | | | | | | | | | | | | | | | | | | | | | p | | | | | | | | | | | | | | | | | | | | | | | p | | | | | | | | | | | | | | | | | | | | | | | p | | | | | | | | | | | | | | | | | | | | | | | p | | | | | | | | | | | | | | | | | | | | | | | p | | | | | | | | | | | | | | | | | | | | | | | p | | | | | | | | | | | | | | | | | | | | | | | p | | | | | | | | | | | | | | | | | | | | | |

Suppose that the S - Box of Example 4.1 is replaced by the S - Box defined by the following substitution πS: (a) [21 Points] Compute the linear approximation table N1 (as defined in Definition 4.1) for this S - Box. (b) [21 Points] Find a linear approximation using four active S - Boxes that will find eight subkey bits in the last round and use the piling-up lemma to estimate the bias of the random variable $$x_0 = x_0_0 + U_1^4_0 + U_2^4_0 + U_3^4_0$$ Suppose that the S-Box of Example 4.1 is replaced by the S-Box defined by the following substitution πS: | z | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | A | B | C | D | E | F | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | πS(z) | 7 | 3 | A | 5 | 4 | 8 | 9 | 2 | E | 6 | C | 1 | D | B | 0 | F | (a) [21 Points] Compute the linear approximation table N1 (as defined in Definition 4.1) for this S-Box. (b) [21 Points] Find a linear approximation using four active S-Boxes that will find eight subkey bits in the last round and use the piling-up lemma to estimate the bias of the random variable $$X_7 \oplus X_8 \oplus U_1^4 \oplus U_4 \oplus U_1^{4_3} \oplus U_1^{4_6}$$

**This is a 2-page document! ** Use the diagram below to answer questions 1 and 2. 3. If $R T=36$, find the value of $x$. 5. If $U W=6 x-35$, find $U W$. $19+4 x-20=6 x-39$ $4 x-1=6 x-39$ 1. If $L M=22$ and $M N=15$, find $L N$. 2. If $L N=54$ and $L M=31$, find $M N$. 3. If $D F=9 x-39$, find $E F$. 6. If $H J=7 x-27$, find the value of $x$. 7. If $B D=7 x-10, B C=4 x-29$, and $C D=5 x-9$, find each value. 8. If $\overline{B D} \cong \overline{B C}, B D=5 x-26, B C=2 x+1$, and $A C=43$, find $A B$.

Which set of ordered pairs represents a function? $$ \begin{aligned} & \bigcirc\{(6,-8),(2,-2),(6,-1),(8,-7)\} \\ & \bigcirc\{(-7,-8),(-3,9),(7,4),(-1,4)\} \\ & \bigcirc\{(1,-2),(-6,2),(5,0),(1,6)\} \\ & \bigcirc\{(3,8),(3,6),(8,-6),(1,-7)\} \end{aligned} $$ Submit Answer

Which relation is a function? A. | $x$ | $y$ | | --- | --- | | 4 | -2 | | 5 | -3 | | 6 | -2 | | 7 | -3 | B. | $x$ | $y$ | | --- | --- | | 3 | 10 | | 2 | 20 | | 3 | 30 | | 4 | 40 | C. | $x$ | $y$ | | --- | --- | | -5 | 2 | | -5 | 3 | | -10 | 4 | | -10 | 5 | D. | $x$ | $y$ | | --- | --- | | 10 | 15 | | 20 | 25 | | 8 | 30 | | 20 | 35 |

Which expression is equivalent to $\sqrt{B x^{2} y^{8}}$ ? Assume $x \geq 0$. $$ \begin{aligned} & \text { ○ } x y^{2} \sqrt{B x^{3}} \\ & \text { ○ } 2 x^{3} y^{3} \sqrt{x y^{2}} \\ & \text { ○ } 2 x^{3} y^{4} \sqrt{2 x} \\ & \text { ○ } 4 x^{3} y^{4} \sqrt{x} \end{aligned} $$

What triangle has 0 reflectional symmetries? # 1.

# SUEMIT ## Question 3 of 10 Multiple Choice: Please select the best answer and click "submit." If $\overline{J R} \perp \overline{L M}$, which statement is true? O A. $\overline{J R}$ and $\overline{L M}$ meet at a straight angle. O B. $\overline{J R}$ and $\overline{L M}$ meet at a right angle. O C. $\overline{J R}$ and $\overline{L M}$ are not in the same plane. O D. $\overline{J R}$ and $\overline{L M}$ are coplanar and do not intersect.

Which statement is true regarding the graphed functions? f(0) = 2 and g(–2) = 0 f(0) = 4 and g(–2) = 4 f(2) = 0 and g(–2) = 0 f(–2) = 0 and g(–2) = 0

# Which graph shows a line with a slope of 3 ?

reflection across $x=-3$

Which statement regarding the diagram is true? m∠WXY = m∠YXZ m∠WXY < m∠YZX m∠WXY + m∠YXZ = 180° m∠WXY + m∠XYZ = 180° $$ 4 \frac{\mathrm{~W}}{\mathrm{~W}} \frac{\mathrm{~V}}{\mathrm{~V}} $$

Find the area of the shaded region. | | | | --- | --- | | A | 90° | | B | 9 cm | | C | 9 cm |

What is the symbol for half-life? $$ t_{1 / 2} $$ $\qquad$ $\qquad$ $\qquad$ $\qquad$ $\qquad$ $\qquad$ $\qquad$ $\qquad$ $\qquad$ $\qquad$

In the above triangle, which angle has the largest measure? ∠A ∠B ∠C

Which graph represents exponential decay? # 1. ## 1.1.1.1.

# Proving the Converse of the Parallelogram Side Theorem Given: LM ≅ ON and LO ≅ MN Prove: LMNO is a parallelogram. Assemble the proof by dragging tiles to the Statements and Reasons columns. | Angles | Segments | Triangles | Statements | Reasons | | --- | --- | --- | --- | --- | | ≅ | ∠LNO | ∠MNL | ∠NLM | ∠OLN | | Statements | Reasons | | --- | --- | | | |

Drag the tiles to the correct boxes to complete the pairs. What x-value makes the set of ratios equivalent?

The double number lines show the ratio of yards to miles. How many yards are in 4 miles? | yards | yard | | --- | --- | | 0 | 8,800 | | Yards | | | Miles | | | 0 | 5 | Yards

Fill in the table using this function rule. $$y = 10x + 1$$ | x | y | | --- | --- | | -1 | □ | | 0 | □ | | 1 | □ | | 5 | □ | | x | - | 2 | | --- | --- | --- | | | | |

Simplify. Write the answer with positive exponents only. x3/x5 =

Discuss the difference between tetrahedral, pyramidal, and trigonal planar molecular geometries.

Calculate the interquartile range of the data set: {7, 3, 10, 8, 4, 1, 8, 6, 5, 8}

24. $\left(\frac{7}{2}, 4\right),\left(\frac{7}{2},-1\right)$ 25. $\left(\frac{-\frac{2}{3}, \frac{2}{2}}{}\right),\left(\frac{1}{3}, \frac{1}{2}\right)$ 26. $\left(\frac{24}{5}, \frac{6}{5}\right),\left(-\frac{11}{5},-\frac{19}{5}\right)$ 27. $(\sqrt{2}, \sqrt{3}),(-\sqrt{8},-\sqrt{12})$ 28. $(2 \sqrt{45}, \sqrt{12}),(\sqrt{20}, \sqrt{27})$. 29. $(0,0),(x, y)$ # Graphs of Equations - Symmetry in Graphs 5. Select all of the following graphs which represent $y$ as a function of $x$.

# Drag the appropriate labels to their respective targets.

Which of the following is the graph of f(x)= |x| reflected on the x-axis, translated 3units left, 4 units up, and dilated by a factor of 4?

Name the marked angle in 2 different ways.

An object is placed 22.0 cm from a screen. ## Part A At what two points between the object and screen, a converging lens with a 3.00 cm focal length will be placed to obtain an image on the screen? Enter your answers numerically in centimeters separated by a comma. ## Part B What is the magnification of the image for each position of the lens? Enter your answers numerically separated by a comma.

Enter the value of $3 x$ when $x=4$. Then decide if 4 is a solution of the inequality. | $x$ | 3 | 4 | | --- | --- | --- | | $3 x$ | 9 | | | $3 x \geq 127$ | No | 7 | Solutions of $3 x \geq 12$