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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 else can I help you with?
Which type of triangle is formed with the points A(1 7) B(-2 2) and C(4 2) as its vertices?
It appears to be an isosceles triangle when plotted on the Cartesian plane
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?
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
What is the area of a triangle with vertices at -3 7 and 2 19 and 10 7?
By plotting the given vertices and then joining them together on the Cartesian plane the shape of a isosceles triangle will be formed with an area of 78 square units.
Is 22 a triangular number?
No because it cannot be formed into a triangle when formed in dots of a triangle.
The Cartesian coordinate system is formed by the intersection of number lines?
perpendicular, 2
What type of triangle is formed by the points -2 3 and 4 10 and 5 -3 when joined together on the Cartesian plane?
It works out as an isosceles triangle
Which type of triangle is formed with the points A(1 7) B(-2 2) and C(4 2) as its vertices?
It appears to be an isosceles triangle when plotted on the Cartesian plane
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?
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
What is the area of a triangle with vertices at -3 7 and 2 19 and 10 7?
By plotting the given vertices and then joining them together on the Cartesian plane the shape of a isosceles triangle will be formed with an area of 78 square units.
What is a plane formed by a horizontal and vertical number line?
It is a Cartesian plane. A 2-dimensional space defined by Cartesian coordinates (x,y).
The Cartesian coordinate system is formed by the intersection of number lines?
perpendicular, 2
How is the Cartesian coordinate system formed?
by crossing two number lines perpendicularl
The Cartesian coordinate system is formed by the what intersection of what number lines?
x & y
Is 22 a triangular number?
No because it cannot be formed into a triangle when formed in dots of a triangle.
When a triangle is formed from three given side lengths is the triangle a unique triangle or can more than one triangle be formed using those same side lengths explain?
A triangle formed from three given side lengths can be either unique or non-unique depending on the specific lengths. If the triangle inequality theorem is satisfied (the sum of the lengths of any two sides must be greater than the length of the third side), then only one unique triangle can be formed. However, if the side lengths are such that they can form a degenerate triangle (where the sum of two sides equals the third), or if two sides are equal and the third side allows for more than one valid configuration (as in some cases with isosceles triangles), more than one triangle can potentially be formed. In general, for three distinct side lengths that satisfy the triangle inequality, only one triangle exists.
What triangles are formed when you cut an equilateral triangle?
An isosceles triangle
What figure is formed by the 3 midsegments of a triangle?
Answer: Another Triangle
