4. The diagram shows a line with x-intercept 9 and y-intercept 3, and shows one of many rectangles which can be inscribed under this line and within the first quadrant. 3. a) Write an equation for this line. (x, y) 6. b) Determine if the rectangle can have dimensions x = 4 and y=2. Show your reasoning. c) Find the values of x and y if the rectangle is a square. d) Write an expression for A, the area of the rectangle, using x as the only variable. e) Find x if the area of the rectangle is 6. f) Which value of x gives the rectangle its largest area? Show your reasoning.

Q: in the diagram, lines m and n are parallel. m 3 f m/1 (7x – 4) ° and m2 = (6x + 28) °, what is m23?

A: Given, ∠1= (7x-4)° ∠2=(6x+28)°

Q: The distance of the point (1, 2,1) from the line 2/3 3 20 В. 3 23 C. 5 5 D. is A.

A: To determine which of the following is not trueA. p∧~q↔p→q is a tautologyB.{(p→q)∧q→r}→p→r is a…

Q: What is an equation that is perpendicular to the line 4x + 6y = 6 ?

A: Given: 4x+6y=6

Q: Find the value of z that makes lines u and v parallel. 6x-3 117 O -5

A: We know that when two lines are crossed by another line (called the Transversal), the pairs of…

Q: Lines ℓ and m are intersected by transversal t and ℓ ∥ m. If m∠3 = 126°, what is m∠5?

A: The pairs of angles on one side of the transversal but inside the two lines are called Consecutive…

Q: Are lines m, and m, perpendicular? Explain. (0, 1) 4-3) m (2,-4) +1,-5)

A: We will solve the following

Q: When will the two players have the same x coordinate? When will the two players have the same y…

A: Note: It is a multipart question. No specific part has been asked.So, We will solve the first three…

Q: find the nature of triangle formed by the lines x2-3y2=0 and X=2

A:

Q: D is the midpoint of line ce. C has coordinates (10,3), and D has coordinates (-9,-15). Find the…

A: D is the midpoint of the line CE. C has coordinates (10,3), and D has coordinates (-9,-15). We need…

Q: find the nature of triangle formed by the lines x2- 3y2 =0 and X=2

A: Nature of triangle is isoscelene

Q: What value of x would prove that lines /and m are parallel? (5x + 3) (9x-33)

A: For lines l and m to be parallel, The sum of internal angles made by intersecting line is 180°.

Q: 3. The lines 2x + y = 6 and 8 – y = mx are parallel. Find the value of m.

A:

Q: Lines ℓ and m are intersected by transversal t and ℓ ∥ m. If m∠2 = 120°, what is m∠7?

A:

Q: Two parallel lines are cut by a transversal as shown below. Suppose mL4=123°. Find m6 and mL7. 2 4 m…

A:

Q: The distance from the point (5, 3) to the line 2x +4y + 5 = 0 is O A. 2.457 B. 3.801 C. 4.63 D.…

A:

Q: Look at this diagram: If TV and WY are parallel lines and m YXU 44°, what is MZYXZ? %3D

A: Given: m∠YXU=44°

Q: 14) Write the equation of the perpendicular bisector of segment QR if Q(3, -2) and R(7, 6)

A: Find the equation

Q: . In the standard (x, y) coordinate plane, a line segment with the endpoints (-1, 3) and (4, 3) is…

A:

Q: Given the diagram below, what conclusions can you make if M2CBY = 65° and line XY bisects LABC? 65°

A:

Q: How far is the line 2/11x – 10 y + 24 = 0 from the origin? O 1 O 2 О з O 4

A: Given that: Equation of line is:            211x-10y+24=0

Q: 6. What are the coordinates of the midpoint of the line segment with endpoint (-5, -2) and (3, -2)?…

A:

Q: Determine graphically, the vertices of the triangle formed by the lines y =3,    x = 3y, and x + y =…

A:

Q: Consider line segment PQ on the coordinate plane. Exit Ticket-4/30/21 Ifa student translates line…

A:

Q: Look at this diagram: If CE and FH are parallel lines and m. CDB = 61°, what is m FGD?

A:

Q: ow would I find an equation of the perpendicular bisector of the line segment joining the points…

A:

Q: 3-) Find the equatin ot the family4 l lines in 3-5pa ce perpendicular to 2x-y+2=6.

A:

Q: Solve for x and y if PARM is a parallelogram. P 3x + y A 4x 2+y

A: Note:We are authorized to answer one question at a time, since you have not mentioned which question…

Q: Two parallel lines are cut by a transversal as shown below. Suppose mL5=127°. Find mL2 and mZ3. m Z2…

A: To find measure of angle 2 and measure of angle 3

Q: The corners for a fence are located at A (11,3), B (3,-11), C (-13,-9), and D (-5,9). What is the…

A: Any point on the cartesian coordinate system is represented by the ordered pair: x,y. Start from the…

Q: 2. In the standard (x, y) coordinate plane, a line segment with the endpoints (-1,3) and (4, 3) is…

A: Given: line segment with (-1,3) (4,3) is one side of the square . find the Area of the square

Q: The intersection of the lines x = a and y = b is the point (b, a). true or false

A:

Q: What is the point or set of points in a plane equidistant from two parallel lines? Explain how you…

A: Set of points in nothing but the locus  Here we need to find the locus of all the points in the…

Q: Two parallel lines are cut by a transversal as shown below. Suppose mL3=149°. Find m25 and mL8. 8.…

A:

Q: What is the midpoint of the line segment whose endpoints are represented on the coordinate grid by…

A:

Q: Find the value of Line WY. W 43 – 2x 12x + 1 Y O 43 O 29 O 37 032

A: We know that,  Two tangent line on circle from an external point is of same length.  So, Length of…

Q: The parking spaces in a city lot were created by painting If mz2 = 115°, what is mz1? rows of…

A:

Q: What is the image of the triangle shown after a translation with the rule (x, y)→ (x- 3, y+3 4 8 x…

A: Given translation is x,y→x-3,y+3.

Q: 6. Are the lines y 7x + 2 and x + ty = 8 parallel, perpendicular or neither? * %3D Parallel O…

A:

Q: Solve for the value of x in the parallelogram below. 13 y + 8 2y + 1

A: The given sides of parallelogram are  13, (y + 8), (2y + 1) and x

Q: 2. Find the area of the triangle formed by the lines 5x + y – 14 = 0, x+ 7y + 38 = 0, and 9x – 5y +…

A: Given equation of lines are 5x+y=14; x+7y=-38 and 9x-5y=-2. We have to find the area of the triangle…

Q: 10) Write the equation of the line through (8, 45) that is perpendicular lo y -

A:

Q: Find the co-ordinates of the point which divides the line segment joining the points (a+b,a-b) and…

A:

Q: how that the lines x- 7y – 22 =0, 3x+4y +9 = 0 and 7x + y – 54 = 0 form a right angled osceles…

A:

Q: 1. What does the x-axis show? 2. What does the y-axis represent? 3. What does the length of each of…

A: Box and Whisker Plot: Basic Idea: In descriptive statistics, a box plot also referred as whisper…

Q: 2. Find the area of the triangle formed by the lines Sz + y – 14 = 0, z + 7y + 38 = 0, and 9z – 5y +…

A: First we find vertex of triangle by using given lines.

Q: 11b) Are the two lines perpendicular? Show work y (+5,6) 4 (1, 3) (-5, 0) 4 (-1,-2) 6.

A: Given,

Q: In the standard (x, y) coordinate plane, what is the length of the line segment that has endpoints…

A: see 2nd step

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.