Basic Math question and answers for October 18, 2024
- Q Find the equation of the line that contains the point (-1,7) and has a slope that is undefined. Express the equation using either the general form or the slope-intercept form...
- Q Tangents are drawn to a unit circle centre at origin from every point on the line 2x + y = 4, then(i) Prove that chord of contact passes through a...
- Q The manufacturer of an energy drink spends $1.20 to make each drink and sells them for $2. The manufacturer also has fixed costs each month of $8,000.a. Find the cost...
- Q Find the equation of a line that is perpendicular to the line x = 1 and contains the point (6,2). The equation of the perpendicular line is (Type an equation.)
- Q Select the answer that best completes the given statement.The slope, m, of a line through the distinct points (x1.y1) and (x2.y2) is given by the formula m =
- Q a. Rewrite the equation 3x +y -4 = 0 in slope-intercept form.b. Give the slope and y-intercept.c. Use the slope and y-intercept to graph the linear function.a. The slope-intercept form...
- Q a. Rewrite the equation 4x - 2y 6=0 in slope-intercept form.b. Give the slope and y-intercept.c. Use the slope and y-intercept to graph the linear function.
- Q Use intercepts to graph the equation.2x-2y+2=0
- Q Determine the x- and y-intercepts for the given function. Write your answer as an ordered pair.h(x)=6x-36If there is more than one answer, separate your answers with commas. Select "None" if...
- Q Fill in the blank below so that the resulting statement is true.If a line rises from left to right, the line has slope.If a line rises from left to right,...
- Q Rewrite each equation in slope-intercept form, if necessary. Then determine whether the lines are parallel, perpendicular or neither.y-3x+7Possible answersNo Answers Chosen3y-9x-12 ? ParallelThe slopes are: 1/2 and -1/2-3x+6y=18Neither parallel or...
- Q Find the SLOPE of the line through the two points:( 8, 9) and (8, 7)
- Q PRACTICE ANOTHERCalculate the exact slope m (rather than a decimal approximation) of the straight line through the given pair of points, if defined. Try to do the problem without writing...
- Q Calculate the exact slope m (rather than a decimal approximation) of the straight line through the given pair of points, if defined. Try to do the problem without writing anything...
- Q Write the equation of a line that is parallel to y = 0.6x + 3 and that passes through the point (-3,-5).
- Q The graph shows the relationship between the numberof minutes Maria spent jogging on a treadmill and thedistance she jogged.What was her speed?0.1 mile per minute0.5 mile per minute5 miles per...
- Q 7 More practice. Start with 5p+10x = 15.(a) What are the p-intercepts?(b) What are the x-intercepts?(c) Solve for p in terms of z. If you were to graph this with...
- Q Find an equation of a line that is tangent to the graph of f and parallel to the given line.LineFunctionf(x) = x12x - y + 9 = 0yIIy =(smaller y-intercept)(larger...
- Q ???????Find the slope and y-intercept (if possible) of the line. (If an answer is undefined, enter UNDEFINED.)5x - 9y = 27
- Q The daily demand for ice cream cones at a price of $1.20 per cone is 50 cones. At aprice of $2.20 per cone, the demand is 30 cones. Use linear...
- Q The chart shows the cost of tuition at a certain state university. Model the data in the chart with a linear function, using thepoints (1,10073) and (3,11344). Predict the cost...
- Q The slope and a point on a line are given. Use this information to locate three additional points on the line.Slope 4; point (-6,1)Determine three points on the line with...
- Q If the lines 3x +8xy-3y = 0 and 3x +8xy-3y +2x-4y-1=0 from a quadrilateral ABCD. Then which of the following is/are true?The quadrilateral is a squareOne of the diagonal of...
- Q a. Rewrite the equation 8x-4y-4-0 in slope-intercept form.b. Give the slope and y-intercept.c. Use the slope and y-intercept to graph the linear function.a. The slope-intercept form of the equation is(Simplify...
- Q a. Rewrite the equation 16x-4y-8=0 in slope-intercept form.b. Give the slope and y-intercept.c. Use the slope and y-intercept to graph the linear function.a. The slope-intercept form of the equation is...
- Q If you are given a graph of a linear function, f(x) = mx + b is a way ofsymbolizing any linear function.a. Explain how you can determine m and b...
- Q Find the coordinates of the missing endpoint if M is the midpoint of ACA(5, 8) and M(-4,3) Find C(
- Q a. Rewrite the given equation 7x+8y-56=0 slope-intercept form.b. Give the slope and y-intercept.c. Use the slope and y-intercept to graph the linear function.a. The slope-intercept form of the equation is...
- Q Graph the line with the equation y = 4x - 1.
- Q Select the correct choice below and, if necessary, fill in the answer box within your choice.A. The slope is(Simplify your answer.)B. The slope is undefined.Indicate whether the line through the...
- Q Use intercepts to graph the equation.4x-3y-12=0Use the graphing tool to graph the line. Use the intercepts when drawing the line. If only one intercept exists, useIt and another point to...
- Q a. Rewrite the equation 9x-3y-3-0 in slope-intercept form.b. Give the slope and y-intercept.c. Use the slope and y-intercept to graph the linear function.a. The slope-intercept form of the equation is
- Q Discuss whether a vertical line ever has a y-intercept.Choose the correct answer below.A. No vertical line has a y-intercept.B. Any vertical line except x = 0 never has a y-intercept.C....
- Q Graph the line that passes through the points (-5, 2) and (6, 2) anddetermine the equation of the line.
- Q Graph the line with the equation y =1/6 x - 5.
- Q Graph the line with the equation y = -1/2x 6.
- Q What is the slope of the line that passes through the points (1, -6) and (-8, 9)? Write your answer in simplest form.
- Q The line L? passes through the point P(-5,-3) and it is tangent to the graph ofy = (x+3)2-7. The line L2 is parallel to L? and it is tangent to...
- Q Write the point slope form of the equationof a line parallel to y = -x + 3that passesthrough the point (-5, 3).Oy - 3 = (x + 5)Oy-3= -(x -...
- Q For which point (x,y) is the slope of the line between (8,8) and (x,y) equal to the slope of the line between (8,8) and (-3,5).(Use the interactive figure to find...
- Q If algebraic sum of lengths of perpendiculars drawn from vertices of a hexagon ABCDEF, A(-2,-1), B(0,-2), C(4,0), D(3,2), E(2,3), F(-1,4) on avariable line ax + by + c = 0...
- Q Write the standard form of the equation of the line through the given points. through: (3,-2) and (-1,-5)A) 3x-4y=-16B) 3x - 4y = 17C) 3x+4y= 16D) 3x - 4y =...
- Q Given the equation: y - 3 = 4(x+2) Find The slope of a line parallel to the line above The slope of a line perpendicular to the line above
- Q Given the Points J(-8, -2) and K(4,2) Find The slope of a line that is parallel to line JK The slope of a line that is perpendicular to line KJ
- Q What is the slope of the line with the equation x = 3?3Undefined0
- Q Write the slope-intercept equation of the function f whose graph satisifies the given conditions.The graph of f passes through (-12,6) and is perpendicular to the line that has an x-intercept...
- Q When Emmy went to bed, it was a frigid 9F outside. The temperature has been dropping 2F each hour. Write an equation that shows the relationship between the number of...
- Q What is the equation, in point-slope form, for a line that goes through (8,-4) and has a slope of -5/6?y-4=-5/6 (x-8)y+4=-5/6 (x-8)y+4= -5/5(x+8)y-4 =-5/6(x+8)
- Q Sometimes linear equations are written in forms other than yCma+b. One common form looks likeAr+By C. When you see an equation like this, you can find the slope and y-intercept...
- Q Micah invests $6800 in two different accounts. The first account paid 8 %, the second account paid 2 % ininterest. At the end of the first year he had earned...
- Q Rigid Transformations:Question 8Triangle MNO has points M = (-6,-1), N= (-3,-7), and O= (-1,-1). Triangle M'N'O' has pointsM = (6,1), N'=(3,7), O = (1,1). What is thetransformation of MNO to...
- Q Graph the line with slope -2 passing through the point (4, -4).
- Q Which of the following is an equation of the line tangent to the graph of x2-3xy = 10 at the point(1, -3)?(A) y + 3 =-11 (x-1)(B) y + 3...
- Q Consider the curve given by the parametric equations x = sint, y = sin(t + sin t) where -? < t < c. Note that it has two tangents at...
- Q Graph the line with slope -1 passing through the point (-3,2).
- Q Graph the line with slope 1/2 and y-intercept 4.
- Q Determine the slope of the line that contains the given points.1. S(-1, 2). W(0, 4)2. G(-2,5), H(1,-7)3. C(0, 1), D(3, 3)4. J(-5,-2), K(5,-4)
- Q Use technology to find points and graph the line 6y= 2x - 12, followin the instructions below. Plot at least two points that fit on the axes below. Click a...
- Q Gabriel is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. The monthly fee is $40 and the...
- Q Find the slope of the line passing through the points (3, 8) and (7,-7).
- Q Suppose a vine maple grows in height linearly. Four weeks after it is planted it stands 7.8 inches, and after nine weeks it is 13.8 inches tall. Write an equation...
- Q Jessica is making a map of her school on a coordinate plane. Two hallways in the school are perpendicular to each other. The main hallway passes through thepoints (-5, 9)...
- Q What's the equation of the line that's a perpendicular bisector of the segmentconnecting A (-2, 8) and B(-4, 2)?OA) y = -1/3x - 3OB) y = -1/3x + 3OC) y...
- Q 2.at a trail head and hike into the forest to a campsite.The next morning, they head out on a hike from their campsite walking at a steadyrate. The graph shows...
- Q The equation of line c is y = 5x - 2/5. Line d is parallel to line c and passes through (2, 6).What is the equation of line d?Write the...
- Q Find the point on the line 3x + y + 4 = 0 which is closest to the point (1, 4).
- Q The equation of line t is y = -1/8x - 8. Line u is parallel to line t and passes through (8, 5).What is the equation of line u?Write the...
- Q The graph of an exponential function has a y-intercept of 7 and contains the point (4, 112). Construct the exponential function that describes the graph. Provide your answer below: f(x)=
- Q Solve each system by substitution.-8x - 5y = 74x + 4y = 4Infinite number of solutions(-4,5)(5,-3)(-7,-3)(-5,-4)
- Q Find the x-intercept of the following line.Enter an ordered pair.Y =9x-1
- Q Graph the linear equation. Find three points that solve the equation, then plot on the graph.-x-2y = 8
- Q What are the slopes and y-intercepts of thelines having the following equations? (Ifnecessary, first write the equation in slope-intercept form.)a) y = 8x + 3b) y = 1/2x + 5c)...
- Q Pete estimates that he has spent $64.50 on supplies for his lawn mower. He charges $12 per lawn for his service. Write a linear model in the form y =...
- Q A cellular service provider charged a customer $40 for 150 minutes of airtime. The same provider charged another customer $55 for 300 minutes of airtime. What linear model represents the...
- Q Find the equation of the line through (8, -7) which is perpendicular to the line y = x/2 = -9.Give your answer in the form y = mx + b.
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