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What is the area of a triangle formed by the line 3x -7y plus 4 equals 0 when it meets the x and y axes on the Cartesian plane?
Wiki User
∙ 6y ago
Equation of line: 3x-7y+4 = 0
Base of triangle: 4/3
Height of triangle: 4/7
Area of triangle: 0.5*4/3*4*7 = 8/21
Wiki User
∙ 6y ago
Wiki User
∙ 6y agoIt is 8/21 square units.
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Is an equilateral triangle am isosceles triangle?
Yes. An equilateral triangle is a triangle where all sides are equal and all angles are equal, therefore it meets the criteria of an isosceles triangle (having at least two sides that are equal).
What is the area of the triangle formed by the line 3x -7y plus 4 equals 0 and the axes on the Cartesian plane showing work?
Suppose the line meets the x and y axes at A and B (respectively). Then at A, x = 0 =-> -7y + 4 = 0 so y = 4/7. Therefore A = (0, 4/7) => |OA| = 4/7, and at B, y = 0 => 3x + 4 = 0 so x = -4/3. Therefore B = (-4/3, 0) => |OB| = 4/3. AOB is a right angled triangle with the right angle at O. Therefore area AOB = 1/2*|OA|*|OB| = 1/2*4/7*4/3 = 8/21 square units.
What is the area of a triangle formed when the line 3x -7y plus 4 equals 0 meets the x and y axes?
If: 3x-7y+4 = 0 then 3x-7y = -4 The intercepts are at: x is at (-4/3, 0) and y is at (0, 4/7) Distance of x from the origin: 4/3 Distance of y from the origin: 4/7 Area of the triangle: 1/2*4/3*4/7 = 8/21 square units
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7*sqrt(2) = 9.899 to 3 dp
What triangle is formed with three sides of different lengths?
A scalene triangle. In a scalene triangle, there are no congruent sides or angles. In an isosceles triangle, at least two congruent sides and angles. In an equilateral triangle, all three sides and angles are congruent, with angles that always measure sixty degrees. Note: an equilateral triangle also classifies as an isosceles triangle, as it meets the definition of an isosceles triangle mentioned above.
What does x-axis mean?
It's the horizontal line on the Cartesian plane that meets the y-axis at the origin at 90 degrees.
What is the point of contact when y equals 5x meets y equals 3 -x on the Cartesian plane showing work?
If: y = 5x and y = 3 -x Then: 5x = 3 -x => 5x +x = 3 => 6x = 3 => x = 1/2 By substitution point of contact is at: (1/2, 5/2)
What is formed when a river meets the oceans?
a delta
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A triangle does not have a cross-section but the perpendicular line of a right angle triangle meets the base at 90 degrees.
Formed as a liquid when steam meets a cold surface?
Water is formed as a liquid when steam meets a cold surface.
How is obsedian formed?
Obsidian is formed when lava cools quickly on the Earth's surface, usually within a few days. The rapid cooling prevents the growth of crystals, resulting in a smooth and glassy texture. Obsidian is typically found near volcanic areas where lava flow has occurred.
Is an equilateral triangle am isosceles triangle?
Yes. An equilateral triangle is a triangle where all sides are equal and all angles are equal, therefore it meets the criteria of an isosceles triangle (having at least two sides that are equal).
What is the area of the triangle formed by the line 3x -7y plus 4 equals 0 and the axes on the Cartesian plane showing work?
Suppose the line meets the x and y axes at A and B (respectively). Then at A, x = 0 =-> -7y + 4 = 0 so y = 4/7. Therefore A = (0, 4/7) => |OA| = 4/7, and at B, y = 0 => 3x + 4 = 0 so x = -4/3. Therefore B = (-4/3, 0) => |OB| = 4/3. AOB is a right angled triangle with the right angle at O. Therefore area AOB = 1/2*|OA|*|OB| = 1/2*4/7*4/3 = 8/21 square units.
What is the Cartesian equation of the circle whose center is at 3 -5 and meets the point 6 -7?
It is: (x-3)2+(y+5)2 = 13
What is the area of a triangle formed when the line 3x -7y plus 4 equals 0 meets the x and y axes?
If: 3x-7y+4 = 0 then 3x-7y = -4 The intercepts are at: x is at (-4/3, 0) and y is at (0, 4/7) Distance of x from the origin: 4/3 Distance of y from the origin: 4/7 Area of the triangle: 1/2*4/3*4/7 = 8/21 square units
Sediments form a where the river meets the ocean?
The sediments are called silt or alluvium. The land formed from these sedimants where the river meets the ocean is a delta.
