SOLUTION: a triangle has an area of 10 square units and enclosed by the x-axis, y-axis and the line 2y+ax-10=0. Find the values of a

Question 1151945: a triangle has an area of 10 square units and enclosed by the x-axis, y-axis and the line 2y+ax-10=0. Find the values of a
Found 2 solutions by rothauserc, MathLover1:
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
solve the line equation for y
:
y = -ax/2 +5
:
therefore, the y-axis intercept is 5
:
area of triangle = (1/2) * base * height
:
(1/2) * base * 5 = 10
:
base = 4 which is the x-axis intercept
:
-a(4)/2 +5 = 0
:
-2a = -5
:
a = 5/2
:

Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
a triangle has an area of square units and enclosed by the -axis, -axis and the line
Find the values of
given:
a triangle has an area of
is y-axis, and is x-axis.

=> if },

=>y-intercept is at (,)=> one leg of triangle (height) is

=> if }

=>=> the other leg of triangle, x- intercept is at (,)

since a triangle has an area of , we have

and, your equation is:

then x- intercept is at (,)=(,)
check the area:

RELATED QUESTIONS
A triangle AOB is enclosed by a line, which cuts the y-axis at A and the x-axis at B and... (answered by math_helper)
A triangle AOB is enclosed by a line, which cuts the y-axis at A and x-axis at B and the... (answered by greenestamps)
Find the value of a for which the area , S , enclosed by the parabola {{{y=ax-x^2}}} and... (answered by Alan3354)
Find the value of a for which the area , S , enclosed by the parabola {{{ y=ax-x^2}}} and (answered by robertb)
Find the area of a triangle bounded by the x-axis,y-axis and the line 3x -... (answered by Alan3354,Boreal)
A triangle is formed by the x-axis, y-axis and the line y=mx+6, where m>0. If the area of (answered by robertb)
Calculate the following areas. First draw a neat sketch indicating the required area.... (answered by Fombitz)
Find the equation of a line parallel to 3x+4y=7 intersect the positive x axis and... (answered by robertb)
A rectangle has one vertex on the line y = 8 � x (x > 0), another at the origin, one on... (answered by ikleyn)