Answer:
Step-by-step explanation:
sides =8 cm, 17 cm and 15 cm
Area of triangle by Hero's Formula,
S=a+b+c/2
S=17+8+15/2
S=40/2
S=20
A=
A=
A=
A=
A=60 
The equation that has the solution
is 3x^2 - 10x + 6 = 0
<h3>How to determine the equation?</h3>
The solution is given as:

The solution to a quadratic equation is

By comparing both equations, we have:
-b = 5
b^2 - 4ac = 7
2a = 3
Solve for b in -b = 5
b = -5
Solve for a in 2a = 3
a = 1.5
Substitute values for a and b in b^2 - 4ac = 7
(-5)^2 - 4 * 1.5c = 7
Evaluate
25 - 6c = 7
Subtract 25 from both sides
-6c = -18
Divide by - 6
c = 3
So, we have:
a = 1.5
b = -5
c = 3
A quadratic equation is represented as:
ax^2 + bx + c = 0
So, we have:
1.5x^2 - 5x +3 = 0
Multiply through by 2
3x^2 - 10x + 6 = 0
Hence, the equation that has the solution
is 3x^2 - 10x + 6 = 0
Read more about quadratic equation at:
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Answer:
See solution below
Step-by-step explanation:
Let the coordinate's of A and B be (1, 0) and (2,4) respectively
midpoint M (X, Y) = [(x1+x2/2, y1+y2/2)]
X = x1+x2/2
X = 1+2/2
X = 3/2
X = 1.5
Y = y1+y2/2
Y = 0+4/2
Y = 4/2
Y = 2
Hence the required midpoint (X, Y) is (1.5, 2)
Slope m = y2-y1/x2-x1
m = 4-0/2-1
m = 4/1
m = 4
Hence the slope is 4
<em>Note that the coordinates are assumed but the same calculation can be employed for any other coordinates</em>
70 yards hoping this helps