0
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.
Add your answer:
Earn +20 pts
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
Which segment is an altitude of ΔABC?
A triangle has three altitudes so you need to be more specific. In general terms, it is a line from a vertex that meets the opposite side at right angles.
Why can't a triangle have parallel sides?
For two sides to be parallel they must not meet at a point (vertex). A triangle has only 3 sides. Let the vertices of a triangle be ABC; then the 3 sides of the triangle are AB, AC and BC. The sides AB and AC meet at vertex A, so they cannot be parallel. The sides AB and BC meet at vertex B, so they cannot be parallel. So Side AB is not parallel to AC (meets at vertex A) and not parallel to BC (meets at vertex B). The only possibility left is that side BC is parallel to side AC. But the sides BC and AC meet at vertex C so they cannot be parallel. Thus none of the sides of a triangle can be parallel.
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
What is the crosssection perpendicular to the base of a triangle?
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?
By cool magma meets with water.
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.
