Line + expression of a variable from the formula - practice problems - page 2 of 4
Number of problems found: 73
- Parallelogram 54791
Construct triangle ABC if c = 5cm, b = 7cm and a = 4cm. Then create a parallelogram axially symmetric with the line AC. Measure the size of the second diagonal of this quadrilateral. - Intersections 49433
Draw a graph of the function given by the equation y = -2x +3, determine its intersections with the coordinate axes, and complete the missing coordinates A [3;? ], B [?; 8]. - MO Z7–I–6 2021
In triangle ABC, point D lies on the AC side and point E on the BC side. The sizes of the angles ABD, BAE, CAE, and CBD are 30°, 60°, 20°, and 30°, respectively. Find the size of the AED angle. - Calculate 39031
In the triangle ABC, the line tb = | is given BB1 | Calculate the length of this line if B1T | = 3cm.
- The midpoint
The midpoint of (2, 5) and (8, y) is (5, -1). Find the line equation in slope-intercept form. - Inner angles
The magnitude of the internal angle at the central vertex C of the isosceles triangle ABC is 72°. The line p, parallel to the base of this triangle, divides the triangle into a trapezoid and a smaller triangle. How big are the inner angles of the trapezoi - Acute triangle
In the acute triangle KLM, V is the intersection of its heights, and X is the heel of height to the side KL. The axis of the angle XVL is parallel to the side LM, and the angle MKL is 70°. What size are the KLM and KML angles? - Direction vector
The line p is given by the point P [- 0,5; 1] and the direction vector s = (1,5; - 3) determines: A) value of parameter t for points X [- 1,5; 3], Y [1; - 2] lines p B) whether the points R [0,5; - 1], S [1,5; 3] lies on the line p C) parametric equations - Calculate 32011
Calculate the size of the BVC angle if the following applies to the size of the angles: AVB = 37 ° 48 minutes, CVD = 52 ° 30 minutes, AVD = 118 °
- Five circles
On the line segment CD = 6 there are five circles with one radius at regular intervals. Find the lengths of the lines AD, AF, AG, BD, and CE. - The tangent line
Find the tangent line of the ellipse 9x² + 16y² = 144 with slope k = -1. - Tangents to ellipse
Find the magnitude of the angle at which the ellipse x² + 5 y² = 5 is visible from the point P[5, 1]. - Isosceles triangle
In an isosceles triangle ABC with base AB; A [3,4]; B [1,6] and the vertex C lies on the line 5x - 6y - 16 = 0. Calculate the coordinates of vertex C. - Equation of the circle
Find the equation of the circle inscribed in the rhombus ABCD where A[1, -2], B[8, -3], and C[9, 4].
- Calculate 6
Calculate the distance of point A[0, 2] from a line passing through points B[9, 5] and C[1, -1]. - On a line
On a line p : 3 x - 4 y - 3 = 0, determine the point C equidistant from points A[4, 4] and B[7, 1]. - Meneal's 26771
Show (using Meneal's theorem) that the center of gravity divides the line in a 1:2 ratio. - In the
In the rectangle ABCD, the distance of its center from line AB is 3 cm greater than from line BC. The circumference of the rectangle is 52 cm. Calculate the area of the rectangle. Express the result in cm². - Dodecagon
Calculate the size of the smaller angles determined by lines A1 A4 and A2 A10 in the regular dodecagon A1A2A3. .. A12. Express the result in degrees.
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