Answer:
Heavenly, we need the forumula for the area of a triangle, do you know it?
Step-by-step explanation:
Area of a triangle is (1/2 ) * B*H
where B = base
H = height
then
A = 1/2* B * H
A is given to be 20
B = b
H = b+4
plug all those into the formula,
20 = (1/2)*b*(b+4)
use your algebra skillz :P
20 = 1/2 *(
+ 4b)
20*2 =
+ 4b
40 =
+ 4b
0 =
+ 4b-40
rewrite the above so it's in x format
+ 4x -40 = 0
use the quadratic formula to find x , and for our problem, remember that x represents the base, or b, but don't mix it up with the b in the quadatic fomula, with the b of the triangle, which is the base, they are differnt "b"s :P
X = (b±
) / 2*a
a = 1
b = 4
c = -40
x = (4±
) /2*1
x = ( 4±
) / 2
x = (4±
) / 2
x = (4±13.266499)/2
x= 2±6.633249
x = 2 + 6.633249 = 8.633
b= 8.633 cm
The slope of the graph is 3
∠D= 87°, ∠E = 50°
Sum of three angles in a triangle is 180°
∠F = 180 - (∠D + ∠E)
∠F = 180 - (87 + 50)
∠F = 180 - 137
∠F = 43°
Side opposite to greatest angle is the longest side.
Among angle D, E and F, angle D is the greatest angle
So side opposite to angle D is the longest side which is EF
Option B is the answer
There is only one solution
When you graph both equations, they intersect therefore the intersection point tells you there is one solution. If it was infinitely many solutions then it would be the same line. If it was no solution then the graph would show to parallel lines.