Basic Math question and answers for August 27, 2024
- Q If a translation maps point (3, 2) to (4, 5); or T: (3, 2) (4, 5), indicate the image for (2, 4).(3.7)(2, -1)(5, 3)
- Q The longer base of an isosceles trapezoid joins points (-3, -2) and (7, -2). One endpoint of the shorter base is (-1, 4). What are the coordinates of the other...
- Q A boat heads directly north across a river, 68 m wide at a rate of 3 m/s. The current is flowing downstream (due west) at 1.9 m/s.A. What is the...
- Q An equation for the line L is:y = 11 + 10/7 (x-4)The angle I makes with the x-axis is:
- Q If P (3,2), find the image of P under the following rotation. 180 counterclockwise about the origin
- Q The y-intercept of the parent quartic function, f(3) = 4, is translated 3 units to the right and 1 unit down. Which equation represents this transformation?A g(t) = (x-3)^4 -...
- Q What is the equation of the line that passes through (1, 2) and is parallel to the line whose equation is 4x + y - 1 = 0?4x-y-6=04x+y+6=04x+y-6=0
- Q The vertices of a rectangle are R(-5, -5), S(-1,-5), T(-1, 1) and U(-5, 1). After R' is the point (3, 0). Find the translation and coordinates of U'. translation, [A]...
- Q The revolving restaurant on top of a hotel in San Francisco, California takes 45 minutes to complete a full counterclockwise rotation. A table that is 30 ft from the center...
- Q The point (7,-4) is on the terminal arm of angle ? in standard position.a) Draw a sketch of angle ?. Be sure to label the side lengths and ?.b)Determine the...
- Q Estimate the solution to the following system of equations by graphing.3x + 5y = 146x - 4y = 9
- Q The polar coordinates of a point are (9,3?/2). Find the rectangular coordinates of this point.The rectangular coordinates are(Simplify your answer. Type an ordered pair. Type an exact answer for each...
- Q The vertex form of the equation of a horizontal parabola is given by z= 1/4p(y-k)2+h, where (h, k) is the vertex of the parabola and theabsolute value of p is...
- Q Suppose a point has polar coordinates (6, 2?/3) with the angle measured in radians.Find two additional polar representations of the point.Write each coordinate in simplest form with the angle in...
- Q Rectangle HIJK is dilated to produce rectangle H'T'J'K'. If the perimeter of HIJK is a and the perimeter of H'I'J'K' is b, what is the scale factor of the dilation?
- Q Fairview is hosting a city-wide arts festival at which vendors can pay to have a small booth or a large booth. The fee for a small booth is $27, whereas...
- Q If you flip the reciprocal parent function, F(x) = 1/x, across the y-axis, what isthe equation of the new function?A. G(x) = -/-xB. G(x) = 1/x-1C. G(x) = 1/x -...
- Q If you apply the transformations below to the quadratic parent function, F(x) = x, what is the equation of the new function?Shift six units right.Shift four units down.A. G(x) =...
- Q Choose the best definition of SAS Similarity.When two triangles have corresponding angles that are congruent and the included corresponding sides with identical ratios.None of the other answers are correctSides that...
- Q A directed line segment begins at F(-10, -4), ends at H(8, 4), and is divided in the ratio 6 to 2 by G.What are the coordinates of G?(3.3, 5)None of...
- Q A scientist concerned about dehydration of soccer players on hot days measured the fluld consumption of twenty-sixsoccer players. The mean fluid consumption per day was 2,780 milliliters with a standard...
- Q Solve the following system of equations.2x + 4y = 1325x 5y = ?45Solution(s):
- Q What is the area of a rectangle with vertices located at (-1, 1), (-1,-4), (5, -4), and (5, 1)?20 square units12 square units15 square units30 square units
- Q Graph, label, and connect the following points: S(3, 2), D(6, 8), I(2, 8), and E(15, 2) to form polygon SIDE. a. Name the type of polygon. b. Find the length...
- Q Which of the following most accurately describes the translation of the graph: y=(x-7) + 16, fromthe origin (0, 0)?Select one:7 units down, 16 units right7 units up, 16 units right16...
- Q What is the image point of (9, 0) after a translation left 2 units and up 5 units?
- Q Points (4, 5) and (10, 5) are vertices of a rectangle.The length of the rectangle is twice the width.The other vertices are located at (4,) and (10,). What could these...
- Q The point H is plotted on the coordinate grid below. Plot the point H', the reflection of H over the x-axis. on the graph to plot a point.
- Q Your candy factory makes Sticker Bars and N&N's. For each case of Stickers, you make $40 profit. For each case of N&N's, you make $55 profit. It takes 2 machine-hours...
- Q The number of hamburgers, and number of sodas, y, that Shaquile can purchase with $12 is represented by the inequality4x + 2y ? 12Which coordinate pair(s) (x, y) represent a...
- Q The parent cosine function is shifted 5 units left, then vertically stretched by a factor of 4 and shifted up 2 units. Which statement is true about the graph of...
- Q f(x)=2x+2x-8x-8If there is more than one answer, separate them with commas.Click on "None" if applicable.
- Q Graph the solution to the following system of inequalities.2x+5y>-20-2x+7y<-21Then give the coordinates of one point in the solution set.
- Q Which of the following equations display=Select all that apply:r = 2sin ?+5?T = -sin?T = 5sin?+3cos? + 5sin?+?r = -sin? + 4?+5T = = -4cos?-sin? + 2?symmetry based on the...
- Q Graph the linear equation by finding and plotting its intercepts.9x - 4y = 36
- Q ?ABC is reflected across the x-axis and then translated 4 units up to create ?A'B'C. What are the coordinates of the vertices of ?A'B'C?A. A'(-3, 3), B'(-1, 1), C'(-2, 3)B....
- Q Select the different types of transformations you can have with a function:Select one or more:a. Reflection about y axisb. Reflection about originc. Reflection about x axisd. Horizontal Shiftse. Boldingf. Restrictiong....
- Q Plot the point (0.5, -2.5) in a rectangular coordinate system. Indicate in which quadrant the point lies.Plot the point (0.5, -2.5) on the graph to the right.
- Q A point on the unit circle in the third quadrant has an x-value of -1/4, and makes an angle of a withthe positive x-axis.(a) Draw the unit circle and plot...
- Q A sequence of transformations is described below:A dilation with a scale factor of 3A translation left 4 units and down 1 unitSelect the statement that describes the resulting image.A. The...
- Q The temperature in an industrial pasteurization tank is f(x) = x2 - 9x + 119 degrees centigrade after x minutes (for 0 ? x ? 13).(a) Find f'(x) by using...
- Q The midpoint of AB is M(-1,-4). If the coordinates of A are (-3,-7), what are the coordinates of B?
- Q A new lookout tower is going to be built so that it is the same distance from three ranger stations. If the stations are at A(-90, 28), B(0, -35), and...
- Q An average school bus holds 45 people. Sketch a graph showing the relationship between the number of students who need bus transportation and the number of buses required. Be sure...
- Q The coordinates of the endpoints of RT are R(-6,-5) and T(4,0), and point S is on RT. The coordinates of S are (-2,-3). Which of the following represents the ratio...
- Q Find the slope m of the line passing through the given pair of points. (Give an exact answer. Do not round. If an answer is undefined, enter UNDEFINED.)(3,-3) and (-1,...
- Q Find the equation of the line passing through (2, -1) and (-2, 1).y =
- Q Your itinerary contains a grid map of Sydney, with each unit on the grid representing 0.125 kilometers. If the Sydney Opera House is located at (-9.-9) and the Queen Victoria...
- Q Find the slope of the line passing through the points given below or state that the slope is undefined. Then indicate whether the line through the points rises, falls, is...
- Q Graph: y ? 4x + 1y > - 2x - 2
- Q What is the image of the point (6, 9) after a rotation of 270 counterclockwise about the origin?
- Q Plot the intercepts to graph the equation.5x-3y=-15
- Q Round to the nearest hundredth if necessary. If there is more than one x-intercept, separate them with commas.
- Q Hooke's law states that the force needed to stretch a spring is proportional to the amount the spring is stretched f 20.00 b stretches a certain spring 10.0 m, how...
- Q Chase made a scale drawing of a neighborhood park. The scale of the drawing was 1 millimeter: 8 meters. The volleyball court is 16 meters long in real life. How...
- Q Graph the system of equations and write the solution as an ordered pair. Write "DNE" if the Solution does not exist, or use the infinity symbol if the system has...
- Q Find the equation of the tangent line to the curve f(x) = 4 sec(x) - 8 at the point
- Q Directions: Given each set of coordinate points, calculate the slope between the two points. Type your answer in simplified form in the cell provided. Incorrect answers will appear red and...
- Q Use the intercepts to draw the graph of y = 3x + 6. PLOT intercepts on the graph using the point tool. Then connect them to draw the line.NOTE!! You...
- Q A map in the coordinate plane shows the distance between two cities in miles. The x-axis runs east/west, and the y-axis runs north/south. The town of Elgin is located at...
- Q Below are the coordinates of the vertices of ?VWX and its image after a reflection.?VWX: V(2, 1), W(3,5), X(4,2)?V'W'X': V'(-2, 1), W'(-3, 5), X'(-4,2)a. What do you notice when you...
- Q Find the coordinates of the midpoint M of ST. Then find the distance between points S and T. Round the distance to the nearest tenth. S(-2, 4) and T(3, 9).The...
- Q On a map of a hiking trail, Jennifer starts the trail at (0,0), then the trail takes her to the top of a mountain at (2,4). Afterwards, the trail leads...
- Q If the graph of the line y = mx + b is reflected over the y-axis, what will be the slope and intercepts of the new graph? (Your answers will...
- Q Determine the viewing window used.Xmin= -15Xmax = 15Xscl= 3Ymin =Ymax=Yscl=
- Q In Exercises 3-6, describe the transformation of f represented by g. Then grapheach function.14. f(x) = x, g(x) = -3x16. f(x) = x, g(x)=x-315. f(x) = x, g(x) = 3x...
- Q On the real number line below, with coordinates as labeled, an object moves according to the following set of instructions: from point P the object moves right to Q, then...
- Q The image point of A after a translation right 3 units and up 3 units is the point B(-4, 8). Determine the coordinates of the pre-image point A.
- Q Write the following equation in the form y=mx+b. Then, using a calculator, graph the line in the window indicated.1.6x +1.2y=5.0, [-4,4] by [-6,6]The equation in the form y = mx...
- Q Write the slope-intercept form of the line that passes through with slope m = 1/4Do not use a calculator.
- Q Kara plots points L and M in the coordinate plane. The x-coordinate of point Lis the opposite of the x-coordinate of point M. The y-coordinate of point L is the...
- Q Find the equation of the line satisfying the given conditions, giving it in slope-intercept form, Through (0,-4), parallel to 3x+y=8y=
- Q Write the equation in the form y = mx + b. Then, using your calculator, graph the line in the window [-10,10] by [-10,10]. 4x + 3y = 12 Write...
- Q Graph y=3x-6 by plotting points. Based on the graph, determine the intercept(s). Use the graphing tool to graph the equation.
- Q Find the slope and y-intercept of the line. Graph the line.2x+y=5Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A. Slope =B. The...
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